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N! % \ •0, < J M i r .N X .\ 4 -< 1 tns 1 pprultai vised to v.iiiie, 31 tilt ion VVILLCOLKES'S AND FRYER'S ^'E\V AND MUCH ADMIRED SVSTEM Oi ARITHMETIC AND MENTAL CALCULATIONS «t,.R,.vrr.i, KOR .-HE LSE or THr central A.ADKMY, CMARM.TTr.TOU.V, KRO,, THK rOL'RTH ENGL.i,, ICI.iTION, AND r.NLAROED BV SE VERA L V AL.T- Ani.E ADDITIONS FROM RICIISO\'S MENTAL ARITHMETIC. \ EDITED BY REl^ JAMES VYADDELL MASTER OF THE CENTRAL ACADEMV. s PiUNcK EuwAnn island; I'niNTF.U AND PL-BMSHED DY JAMES DOUGLAS HASZl RO, 1837, I ca mi yc ini its Its pn to no tut Ce •'''^J^^^ I K C. H .V C.B.L de ■J ^.-j^yor-iMewral SirJOlLY tMIi VE \ _ ^ icvtenanl Governor jind Comman- r m Chief, in and over f!i-> Majc^fy's Island P Edward, and i(, DcpcndeniZsr Cho^lor^ 7i^ Mmiral cud Ordinary cftkc same, S,-c. 6,-c. fyc. Sin, The deep interest which you have manifested in the cause of education, sinceyouraeces.ion to the govern- ment of this Co!ony-the judicious suggestions which you havoijiade, fcr (ho improvement of tlio District Schools-the ..a! wi:h wnich you have cherished the •nfaney of the CeniraJ Ac ulemy-tho promptitude w.th which you have exert.d your influence, to extend Its operations-and the kind condescension which you have displayed, in countenancing my feehle effortg for Its advancement-all, incite me to submit for your ap- proval the accompanying. Manual of Arithmetic, and to solicit your patronage, for a reprint, with additions, now m course of publication, for the use of this Insti- tution. I have the honor to be, Sir, Your most obedient and Most humble servant, Central Academy, "^ '''^' Waddem.. March 8th, 1837. Goveriiniont II 0U3e, R EVEREND SlU. ^larch 1.5th, 18,37. I liave Jookcd tln-oughthe 'IJustrative oftii M aniiai process of "Mental Arithm >'o,u sent mc, as more immediatol. T *''"'"' ^'"''''mctic"- Nation of "n::^y^2Z'^'' ir''' ''- ^^'^'^- -d sin,p,e rules Lg J L ," ^"" ^^«^'^- ^'^ f- tJ'oir perfect and easy aco 1 r °'"'"'''' -"''^^"' ^^ "Pon the acquirer Z Tc r T^""' '"' ^° ^'^"^- calculation-lso „ ce.sarv f f' '"' '^^^"^^'^-^ «^ -ent of businessi: ; :„ ^ .? ^"^--^•" -"age- aid of such lights as r r^ ''''"' ^^''"'°"t the -^lc-h..ed ,0 :«!;;;," '^" ^''''« -'-- appears to mo you'-ny tlWn p :^:l::;7''«'r ' '" any way wh'ich «'on, to congratullte the Ce t7a: a7;^""''"' ''''- acquisition of a class boor .l^?™^' "P*"* ^'^^ ^'•ape, and upon ch ni'T ' " -complete a which, I am ne,^^, ' I ] T '''""'~'^^o merit of -'-only this, hut the s^ri^c^;::::^"^ I lemain, dear Sir, Yourvery faithful servant, J. HiRvEV. ^''eRev. James Waddell, Central Academy. 0U3C, '•5th, 1837. ym sent ino, ^ntlimctic"— intile calciila- ncver before "g the appcj- >rk. Its few ed golden, as Hiil to confer accuracy of ''ill manage- without the 'peara to me ly name, in »'way which >fthis occa- ) upon the complete a merit of be exfon- fi through- lies. ^f^Nir.. I, Ac t, AI>EMY, <^liurl,.U,.t.)\M:, Jan. tUh, 1037 The Trust ha t'cs 1111(1 (iovenior.s of i! vii!g already witiitssud sviti 111- v.'(;ptial Academ\ ing of the system of Mental A ' I'Mie.i pleasure the work- iucod into this liislituti rithmelic recently intro- <>". and having approved Colburn's First Lessons rejoice in the opportunity atfordcd t! of ""< a valuable class-booli. OS's and J'lyer's admirable and loiiJ of adopting as a sequel to that inili practical sys- atory work. Willcolk toni of Arithmetic It is tliereforc- OK1.ERE1,, That i, be e„te,c.a as a sla„.li,„. „]a.,. book ,„ tl,o Con.ral Aca,lc.,.,y-,,a. evory h^ni^i ail the District Schools. By order of the Trustees, •John Lawsov, Vice President and Secretary. Ine attont.un of the Board of Education having been his day calle,•-.„,.„ , "^'^'^ ''^".S' supposed to will, ,t ,s presumed, arrest attention if f rl . exc to siin-,ri^f» Ti . • . "'"-"""";'' it do not II- precedence of „M „,„er Semi„a ic, i Z ,1 , I '■"'■ I" "Ply, i, i, „„, „,, ,^ f„„„,h V , , ; "'''■^s'';-''p™«'--nhoAc;,™; .rz I rconun. ,l,o bi,j:,„,,,,, „;■ „,, „„,,,„,, „,?^,,„ .,,_ , .,Mon„„,„„d,....,o,,l,a,„.c„„;=„I„™,f ,„„,,■;' VII. n lias of Ja((; 'ii" systems of int;es, onfircly J^ominarios — 5 Imvc sprcp'r 'oltl, if not to f>«, to furnish the sii hjnrt 'itfle intorost march of im- to announce, uss-book, for nl)ln a Scini- •■Jottetown in tJie mode thoroughly •IS the first supposed to it" it do not "npretcnd- e'l'Jy, take these Colo- ■II", and the fi!? it (tr.cur- 'i fi iiistory line.]! — tior ■ lat yy.-iirni ■ fornirr. •( i'f'.'-al, aii.i ''einjiitajy instruction, is dcs juaclicabio, upon II igned to b t! conducted. plans; and of the latter th '« "lost mode «^ far as rn and i they / that in tiicir nat '"proved th iiavo reaped the reward of th 've counir e way of emolument and fa cir labours, botli The study of I„(eli me y> 1 in (lie Kditor's altent cctual Arithmetic had '"», previous to h bef lis institution. Ileb'wlin*.. i *' "^•J "itroduccd IS a attracted ppointinent to "l''^ into the (rra ii-s native vil! n;ro- mmar r It, several monti "■-'hool under his cl IS large, i, tii.sted its utility and 'uro..^ ova Scotia -where he 1 oroinary routine of piovcd its nd lau vantages over the and wiience ho had b common arithmetical calcul to other simil ar cstablislimenffc con instrumental Ills present charfro, n Aft ations, ill c.\tondinir it cr enterinc under the n 'Cntral Academy. Tlie f] o time was lost in b ot.ceofthe Trustees and (Jove rst g upon ringing it mors of the ■specimens ofitspracti- *Jct wliicli correspondct cal operation, produced an eiT "'ilh tiie ciili.rl, toned vit.,.., . , ," ^-^^I'-Jnuca .•> dcsidcilun, l„ l„v^ i, ■'-'""'''■. ""'I It l.eoa,„c '**i., ^..c:;;'::,'*:r:.'trr '"''''' wcigl,... ,,n,J ,„,.a.„,e,, .>,i,.| t „, • , „ '"",,°'^ '"°"'='' niiJ iuv.lrcl. ,.1,.,,. .,n.l ° r "'-"l"""'»''"-0"'i-o,vn; Hnn rccc.Mlv from Fnrrl'nn 1 ''"^•'"•' -">ught w,fh '^"^ au,.:ral,le work; and tor i;, „io Edif.r viii. takes ihig opportunity to tend tlinnks cr to iiirii his cordial The high price of that productK... vouOc,,^ an uv- t«ns,vo importation of it almost .,..,,.. c t,.,.l,|o while •ts intrinsic excellence n.ade it c.xce..clu,.|y desirable that .ts genera: uho in the Acaden.y si.ould, if po..s,I,Ic, be secured. Under these circumstance., depending, ,n some .n.asure, upon (he ,uc it of the work itself-c.nfi.ling in the iunuential pntronnco of our worthy Governor, His Excellency Sir John H«rvey, who had declared hi.nself a warn, friend to genera education-and having the encourage- «icnt of all omoially employed in directing the man- ugement of elementary instruction in the I.land Mr. llaszard was induced, with a degree of entcrorisc' which reflects upon him the highct credit, to under^ take, under the supervision ofthc .Academy, to furnish a«epr,nt, not only for the use of that instifulion, but Ivir more general circulation. To render the work .till more complete, several vWuable rules and examples vpon Ihc ,Ucendin'r scale i'^v. bocn added l>om "Richscr's Mentr.l Arlrhmc' '"= '-a more elaborate, but vory useful work-and i.>u.^. .s obtained, at a price far below the cost of either ofthoongmals, perhaps the irost full, yet concise sys- tem otprndicul Arithmetic, which has yet appeared. Were it necessary to advance more in favour of its merits, tli;u. the appended documents contain, many l-ages of laudatory testimonials might be supplied from t!-o Eagl.sh copy. A slight examination. 'ho^vever. will sufiic'.! to secure for it the approbation of practical ^.nthmelicians, and not only will Schools and public ^^eminanes prulit by its adoption, hut every man of Kii iii.r,. . ..,:n .:. , 1 . • i)U smc.s.s wiil finj it advant Ills ofTi ageous to nUroduce it to CO. IX. ^iH cordial '010(1 an t!X- ii'.ililo, while i\y dtsiiahio ■ siiould, ir cuiiistancey, ii!c it of tbo d ii:itiori!ige ;y Sir Jolm vanii friend c'licourage- g the inan- iio Island, '(^ntcrt)i-isc, 1, to under- , to furnialj itution, but c. several idhig scale, Arirhmc- ,vork — and St of either ncise sys- "peared. vour of ita iin, many )iicd from however, practical nd public Y man of uce it to Th easily lulos and illuslrat -■="•■ annus arc so n ilin i • »,. i juvonilo ,.,i„j ''"'"' "'° "'•'""'--' <"■ ""> ''"^::rx!:::.^::a-' — ;.;.':;.; ■:';:,,;ir;^r;:.„::.;°'^::-« ;--<.. ,,, Tradesmen h ^^ ' ^"•'' "'^.""-'— 'i-'' Arithmetic for -pie;:r;niirrr-:t >" nocdofamu.h hi: "' —-diMary way, stand onterahanrr^ r''"'''">^^'''«''-''>to l>ehindae m,- ::^^''"''^"'^^ -n.whoarec^a4 :^^'■"'^^'^'-^'P--''-'pc^- P■•ov.ousinstr.cU:': t:;^r'■'r''^^^""^'• '^nJ ""certain 'ur '; ,'^"'"-^'' - '^^ t'- tedious An acquaintance^v :;^'''^ ^^'''^^'-^'^ '-.hod. entirely remove thr- diOi. . '"-V'^«'^ '"^<0 "'o^id sons labour.-' '^"^"'"'"«^ ""dor whi.h such p«r- " The Plan undertaken i^ tn . ""« vr.lumo, the sever R ""P'-'^-'"^'"J i^' ihi. Arithmetic. 'and to :w,fr^^'' --'--•-•■ -ady method, of per,;.n„:,;. ,,::tlcul ?"'"'"" ""' each respectively, " " C'^'cuhuion proper to •J'eilii.p8ihM.xpo,siiionofthc;rnU,„.„ , . ;" 'I'o principle n.,„.ip,,:, ..^ ,;. C,^/;:" ''^"''^ ■''"'' '^ «'•,), „.o p,,„,: t'^onati.n.n.t, will ,i,,j ' ,,j f ' "'^ '"''""■•S .iun„, ul.i.I iu.., ;^/i"il'..g, todivMo b,te,. ret uVh ,: , ' "^; '"" ' ^ """ -- '>-Mn„th .f corresponding to tenths of wii!li:ij,.j a II, I ■» sliilli 'tJK a ion ll'l't li?lllv) ,vill „|j(, '»'"'"'«^'n'"ytirn,.3apL>rmv;.;Ki ■''"''••'• ("' a...v; ,.,.„; '"" ;i (liiitinit 1 (ifih, to so maiiv ThcPdblishersflatt or thf wild the Ex;implos for calcul th ?msel itiiii vcs, the Rules given e variou; prices annex- d to the Same c'egreo of satisfacti •'«/•". qrs. and lbs. at in per Ih. will jrivc the on that it haa in cd to do, to the vast numbers who h no case fail- -, T,, , ^'^•^■vlio Iiave made atrial of X Jli'.T ''"'' ''''' "" '""""^^'^ ^''-^ -d -- no" or '"^'^^''•"'-"'"S ^''--o-go price and total amount of various goods, purchased at difTerent prices, ^.11 be found extron.ely useful. By that method both aro discovered with ease and .simplicity; while in the ordinary way of working, such calculations are well Known to occupy great Ic igth of timo and a ^reat number of figures-Interest is the „e>:t thing thatC - sents.tse,ftoournoticc; and the groat slti..^^^^^^^^^^ ^ Rule, respecting it have given, and tho value in Tvhich toey arc held by tho.e who have tried the Sys- tem, will bo best found by referring to tho numerous tcs imomals, ,n which the brevity .nd accuracy ofthe method contained in those Rules are especially com- "This work differs in the following respect from nost treatises on Arithmetic-they arc generally prin" other ..he Solutions or Key to them. Wc however have .atroduced into this one book the Question, and a so Solutions and Explanations so clear and e.vpl't that no one can have any dilHculty in thoroughly com- prohen.ngthem. It i. hoped therefore that the nriTe charged will be considered reasonable." Central Academy, lath March, 1837. 5 4 ( 3 / 2 ( 2 ( 1 S 1 4 1 S 1 OF d. 6 ar 4 ' S • 2 ' n i I ' or Cv>t 10 arc s 4 2i 2 1 ; Rules ^ivon, '•*. and /6s. at . will give the no case faij- lade atrial of liort and siin- ricoand total rerent prices, method both while in the ion3 are well and a ffreiit- ing that pre- t satisfaction the valtie in icdthe Sys- i" nuincrou.s uiracy of tlie ociaily com- s.^pect from erally print- lestions, the ^'o however lestions and ind explicit ughly com- at the price Auri^Ei icaiTtables." NUAlE/iATION UniLs Tens HtiiuJreds Thoiisaiu.'s . . 'I'en-i oCTliousands t'- ff 'I'huiwaiid;* Minimis ... J X. or Millions 12; 34 5,6 78 C. ofi\Iillioasl23; 456,789 ■ . 1 • 1 2 • . 123 ■ 1 ,234 • 12,345 12 3,456 234 ,567 CUUKEiVT MO.\EV. 4 Fiuthings make . . H'o,,, l: '"'""^" 1 si,iiii„„ I 20Shnii,,.,l round, or Suve,oi.rn | l'Ei\CE. ri- s. d. 20 aio 1 8 24 ' 2 "0 ' 2 (i S6 ' 3 40 ' 3 4 '!S ' 4 •TO ' 4 2 to ' 5 70 ' 5 10 72 ' 6 80 ■ 6 S 84 ' 7 SO ' 7 6 9b ' s 100 S 4 108 ) 120 ' 10 SHILLINGS. » £. 20 arc 1 PRACTICE OF A i'Ol ND, OR SOVEREIGN. *• d- £. aie 1 lialf ^ 8 ' 1 thinl 5 ' 1 fourlli 4 « 1 (lf,h f 4 ' 1 siMh 2 6 < 1 eifihth 2 « 1 tnnti, 1 8 ' 1 tuelfth 4 • 1 fiftec.nil. } 3 ' 1 sixtpctidi I ' 1 twomieih ;E!!^ of Weights and m'^^^,] OF A HUNDRED. qr. lb. Cwt. 2 are 1 half 10 is 1 loin 111 16 are 1 s(>\nnlii 14 • 1 cigiitl, TROV. 24 gr. make 1 dwt. ^O-*!"!. ... 1 ounce WINE. 2 pints make I quart 4qimrtB ...1 gallon |IOgallon.s ... 1 anker |42 gallons ... 1 tierco |6-'' gallons ... 1 hhd. 2lilid. ... 1 pipe 2 pipes ... 1 tun :oz. OFASHILLIiVG. «■ ». 6 are 1 half 4 ' 1 third 3 • 1 fourth 2 ' I iixlh Ji «3 1 eighth 1 ' 1 tttclflh OF A penny! farth. d. 2 arc 1 half 1 is 1 fourth. 1 pound AVOlRDUI'OIsT 16 dr. make 1 ox. 16 oz. . 1 ih. ■^8 "j- • 1 quarter 4 gallons .. 2 fnkins .., 2 kiljcrkins li barrels... 2 harrels ... barrels ... 1 gallon 1 (ilk in 1 Kiidcr. 1 barrel 1 hhd. 1 nun CI.OTII ME.4SURE. 24 inch, make 1 nail i 4 nails .... 1 q„a,. ! Sqrs i i.'jp), ^W" 1 yard OH's lEn.ell. V ENLARGED IMUI/nPLICATION TABLE CO 05 O - I o - I o -^1 to 05 10 JO 0< 1 CO CO hi* o CO CO to >0 I o I oJ O I r _o |_ O CD ♦ -» cr. CO C3 o 03 to 05 — I CO CO to t< I . I CD -I •i^ I CO I C3 o I ci I o q_ JO o ♦0 0< I — !^ CO o I W I JO CO I a Oi I o 4^ i >^ ■3^ CI I 5?_.Lll I O I Ox I ^ \ •4i. I a> I CO I o Oi »0 4i. to CO 1 J£_ _Ci 05 CO to o 03 to ^ CO to 1 03 1 o< o o CO o „ K3 » CO 1— ■ o c:; MkA t— t CD ta O J0_ o CO OS -1 O - » 35 o I c 03 I Ki I 03 I cr. I to I — tO I >" -i I 00 CO O'l I >^ Oi I •&>. ,_J 1 - ^ ^ i^ w 1-^ o OkJ 1 o -1 4^ _ ^ C' »f^ to i«^ *>. o_ _a3 to ^-* — t 1 ^, 0~. C;i to C-i o Oi o CO ^, OS U;i> 4a __ro o __co o -I ^J Oi CO CO 05 Oi to Oi -1 CO >4-k o •J5 o Ci' -1 CTi 01 O o< O 0^ to rj o o 03 to 03 to •^ 03 >0 MM C-; t^* to 00 to CO C5 03 ^ to to CO h-k 4i Oi 03 O CO to 05 o 4^ CO K) CO to o 00 -I •^1 o 03 o CO o (0 C5 4a 03 to O CO Oi fl5 CO Or 03 to to to 00 CO to o 1—1 CC CO c 05 1 — ' 4^ 4^ Oi to 1 1 05 1-^ o CO CO O -1 to 01 4^ CO 05 00 oc »— • CO' 1— t CO •J Oi .0 MA o to to o to o o CO o 05 o o ^1 ^ gl 8 CO O 05 o 4^ O o T T TABLK CO 1 to 1 CO 1 »3 1 « 1 1 i 1 . 1 c -0 1 d 1 w 'O 1 C3 1 4j. J' O Ci 1 J_c - 1 - ' 1 is 1 (Ti] 3 — ~1 1 »< L * 1 ~ 1 ; 1 — ^ 1 en 05 1 CO ca o o o - 03 CO 1 >o — 1 ^ »o )0 - C5 1 W to CO K-» CO o si CO - «0 rt C;t CO 4^ •o CO _CT3 CO cc 00 4^ O o or A SO MENTAL CAr.Ci;i,A'i;ONS. pence (as 3Xd." irf. or S J 1 1? """^^ °^S*^«» oi- what it amounts to Vnn;^ ''"'*'"'»'■*«'•' ^ri Pe^nny shall occur with any Xo'i'""^" ^^^" '^ ''«''- amount of what it com"?to ^f '''"'^' "^'^ ^«'<o„n.sto at one vennvJt? '^"■""'"''^ °^ '*'''••»< it o-wo lines, as the SStSS^^ "" -« the desire of the PubMshp^r """'^ ^^^ «"perfluous; ^i-ou.hout, perfectly utr.it? '° '"'''^^^^^ System capacity, thiy trust w lb! f.^ P^-'sons of ordinary ducing at tl.e'bo8ilT;.ro VactCe'^^'T'r^ '""- first, examples so very simnL rli ' Pfi-^'cularly the tiu.t every thing that can b'c us aI^J '^'^^ «d l>o;tL:iT2.:^:-K«,-;;;^ by both method, .re J^XAMPLES. What w.lJyc/6. cost at,,./, per /6v Jf^ at I penny equal to 3s\ multiplied by n JEI.. V'.'h ns. "Ill ^ iVOVRL SYSTEM U(; at onn penny ::= 89, multiplied by 7 What will 24 stones come to at lOd. per stone- *4 at one penny .=.- 2*. 10' £ t Ans. What wiU 108 gallons comTto at lid. per gaUoi*. 9s. at 1 penny. £'i..6Jhis. n hat will 48 lbs. come to at 9rf. per Ib'f 4t. at 1 pennv. 9- ' What will 120 ells con»e to at iOd. per oil r 10». at 1 pennv. 10 £5 Ans. What will 60 yards come to at Zd. per yard ? 5s. at I penny. 8 Ul.at will 132 gallons come to at Utl. per gallon ' 1 Is. at \ penny. jet;.. 1 -Ans. What will ?.'l Ihs. coine to at Id. per lb ? fis. at I penny. 7 .«:;?.. i.4»*. OP ARITHMETIC What Will 114 quarts corno to at H. per quart ,^ 12«. at 1 penny. What wWl'>9 ounces comeT, at 9rf. per ounce: 2«. od. at 1 penny 9 •£'.. 1.. 9^«s. What will oo come to at 7d each? "«*. 7rf. at I penny. *!■• 12.. 1 w3n». What will €8 come tnTioTeach? 5«. 8rf. at 1 penny. 10 ' ^2.. 16.. 8 ^;w. What will 87 pint, coliT^ nrf. per pint? 7*. 3d. at 1 penny. JE3..19.. 9 Am. What w.« 99 atones ^^i^eVat 8d. per sto,^? 8*. 3d. at 1 penny 8 •- -^• ^3- 6.. Ms. VViiat will 1 cH't = I ic> /aI c««. — 1 1* /6*. come to at 9d. per lb* 9*. 4d. at 1 penny. What will 119/6*. ^-l- 4.. Jn,. cometoat7d. per/6.? 9«. lid. at 1 penny. ^3,.9,.5^,tf. What will 13cJ lbs. come to at I Id. per lb. ? 1 Is. 1(/. at J t)onny. n jE6 . 1 . ] J .'/„,. Wliat will a pipe = 126 gal. come to at Ud. per gallon ? lOs. Gfi. at 1 penny. ;£'4 • M . 6 .i.,. Wl.ut will 151 yarda come to at od. per yard ? 12». lOrf. at r peiiav 3 ^ £3.4.2 »4ns. What will 171 yards come to at Qd. per yard .- 14s. 3d. at 1 petinv. 8 JEo . 14 . Jns. What will 189 lbs. come to at 1 Id. per lb. ? 15a. 9d. at 1 pcniiv 11 £ii ' 13. S^^ns. What will 199 come to at Id. each.> 16s. Id. at 1 penny, 7 JE5 . 16 . 1 ^ns. What will a tun = 252 gal. come to at Wd. per gallon^ f i • 1 • at 1 penny. 10 What will 40 weeks 280 = JB 1 £10 . 10 . Ans. at Id. per < i at 1 penny com day: JEB . 3 . 4 Ai:s. 6? ^d. pcr;;alJon? luny. ard .' penny. riiiy. niiv tiny. I. per gallon? OF ARITHMETIC. Wliat Will '^Oweekv I'^n^i- weeks_3oOdays come to at Wd. per day > ^14 .11.8 Jlns. •Vha. win „ ,ea, ,ear of ^.^ ,„„, ,„ „ , „ •f J • 10. 6 at J II penny. ^'6 . 15 . C^tts. »Vhatw,ll 560 /6,.ofsugar cost aTTc/. per/,. ■t-: • 6 . 8 at I penny. What wiJI 980 yards of calim T ^ ^ o at 1 penny. £40^lJT^^,„, W'.at.ill.o.,«„,„3 - ^^ ^-i-S.Sat Jpenn^. j«/'o^:;r;^;:^i:^^-^;;-;juar^^^ '•«te ot I penny per yard ™iz fn. *''" •^'•'*''^^«' «» ti"^ •eckon^.^. rorlTalf/ard^'addK ^c.'^::^^''^^^^' -"'^ VV,ur will 4^n vnrJ^^'^^^^'^^^S. ^ w.l.4,J yards cost at 4£f per yard? 3»- q./. at J pen»y. ty.' * '-i'Sv^ns. What will 6o^ conic to at 8d each? OS. 5|rf. at I penny. 9» jE2 ■^ • 6 ^ns. NOVEL SYSTEM What will )j7| ounces come to at 3d. per ouhcc? ^s. 3.|rf. at 1 penny. 3 £1 ■ I • llJi ^ns. What will 9;)| come to at 8rf. each? 8s. 3.^(/. at I penny. 8 *3 • 6 • 6 Jlns, What will I12J come to at lOd. each.' 9«. 4^d. at 1 penny. 10 £4 . 13 -9 Jins. 1 What will 12C1 ounces come to at Id. per ounce.- 10s. Q\d. at 1 penny. £3. 13. 11 Ans. What will 1402 yards come to at lOd. per yard- Ha. 8|(i. at 1 penny. 10 jC5. n . 3\ Ms. What will 48 Ihs come to at l^d. per lb '^ 43 at 1 penny = Is. Here we multiply the 4s. ^k (what it comcis to at \d.) ~ by 7, and add in the *1 • y . Jins. «iuartcr of 4s. what it .... ., comes to at \d. >Vhat will 60 lbs. come to at o^d. per Ibi 60 at I penny ==:5s. 51 ■£1 . 7 • G ^ns. What will 7-:^ /6s. come to at !)?(/, per lb? 72 at hi. ^6 Here the 6s. wliat it conies to at 1 penny, is multiplied by ;), — and the 3 (piarters at fis. added 4;2 . 18.6 ^i/w. in, what it to 4s. u(,' comes to at J(/, o«ual ' OUHCe: nny. niiy. my. r ounce: Jiiny. r yard r nny. tiply the 4s. s to at Id.) add in the what it s. Oh' ARITlI.METic What will 8 t gallon., como to at Hi,/ »^atipcnny=l7/"^'^-P^'-y""on.> m 2^ ihe 3 quarters of .«0 at 1 ncti penny ^_ 7». (jrf II OS- Ikil- to brin^r ir .€ I . 3 • 1 J .las. What will :»!) yards come to at S^cf. per yard? 'JO at 1 penny -^:- «». 3d. ^2 4a, 1 J(/ to bring in' jEJ • 10 . 1^ Ans. i What will 50^ yards come to at Ud. per yard' 50J at 1 penny =- 4«. '2^d. Hd. 2a. l,|d. to bring in- s. 18 . Ill dns. Or thus, in two lines : 4s. 2^ci. at ]d. 4 16 . 10 at 4d. 2 . l^d at ^d. 8.18 . 11^ Ans. What will 5J;} yards come to at 6^d. each.^ 52| ut 1 penny = la. 4jd 2s. 2§d. to bring in, 6| being the amount at Ac/. £1 . 8 . 65 ^ns. Or thus: 4s. 4ad. at \d. 1 • 6 . 4^ at Gd. 2 .2f at U. £l ' 8 ' 61 Ans. What will 644 yards come to at I Of per yard! 44d lOf 4s. Oiljd. at |o^,„rds^metoat7^/.,.cryard>^ !£ '■''• *<'• fit ^ lo bring in. •«J ■ 10.3 .7„5. UhntwilllJG yards cometoat«3./.peryardi 'Is- lO.Ul. at g^i. to bring in. i"-3 . 8 . lOi ,'/«.,. What will 168 yards come to at 0-^d. per yard? «s-9J. at ^i/.tobriniiin. n £G . M . 9 .'7/js. Wkat will 3r,0yard.s come to at lOjd per yard .' I^ ^1 • 6 . 3. at I to brin- in. l"in . C . 3 J«,. What wilU)60 gallons come to at 11 ^ci. per gallon? '^^ '^»- at ^f/. (0 bring in. £^4 . 10 ./?„,. '''''SV''V"-''^^«^"«'««'^Kl-ryardr ^ -^^ • 10 . C.^ at i to brin^ in. 4'i7, !f). 1 0.1 /7„, What will loOOi yard.* l.scometoat 8^*/. per yard . • ^3.2.6.itob ring in. £-53 . o . 10} Jins. lU NOVEL SYSTKM What will l!)GOi yards como toat IJ.i,^ per yard? ' J_jl £2.0. 10^ to l)rin^' iti. What will L' 10 yards cost at S,]4. per yard- :-'40at I//, pur vard -£l ^;3 .1.3 .im. .\Vc, The quantity at Id. per yard is found to U'. £ wind, ,s mult.phed by the pence of the price, an.l the „ ot the price at Id. being taken for the ,',. ^JVhat Hill 480 yards of cotton goods cost at 7,'t/. per 7s. 6d. at ^^d. to bring in. JEI4.7 .<; .i«a. ■^Vhat will 9C3 yards cost at Oj'd. per yard? 81,! £3 • J to bring in. J'rico of 960 ydg. =^ 35 . 5 3 at 8i,]d. = 2 2". £35 . 7 . 2;, cC?/is. SECOND GENERA f RULE. A lit- u: to knr>w the Amount of anv Numhcr of yavdr ds stones, lbs. galtous, quarls, ^„ I vSv. u, any given shillings per yard, &.C. &.C. ^ ^ Find the amount al one shilling and multiply it by the price. i j j Should 3 pence occur in the price, add one quarter of what It amounts to at a shilling; if 4 pence, add one -itrd; h h pence add half; ifu pence, add three quar- lois at what it amounts to at a shilling. Should the pence in the price not be an aliquot part «U -Ihng. hnd for tlje shillings by this Rule, and tor c.e pence by the Rule for pence, which am;unts , per yard? i to l)ritif,' in. rd.- is found to bu "the price, and ■ the,!,. 'ost at 7,|,(/. |)or to bring in. to bring in. ULE. Tiber of yard! , ut any giren multiply it by Id one quarter !ncc, add one id three quar- n aliquot part lis Rule, and hich amounts <>1' AUITHMKTIC. to the foregoing Hules. \\ hilt will ;)1 yards come to at 3s. per vard^ ■^1 at I shilling ^£1 . ,1 ^ multiplied by ,^3 i:4 . 13 JJns. What will n yards come to at 7a. per yard' 47 at I shilling = £2 -7 ' 7 ft JC16 . 9 Jlns. What will 55 yards cost at ds. per yard? 5.5 at J shilling z==jM • 15 £24 . 15 Jim. ^Hiat will 71 gallons come to at lis. per gallon - 71 at 1 shilling = i:3 -11 ^ II jE 39 . I Jhs. 1^ hat will 89 yards come to at ]'2s. per yard' ..:K.tl.=.£4.9 This and others of a sin.,lar ^ nature can be done by another method, which shall be ex- £o3 — — «j If tji^ii oiiilll 8 Jlns. plained as we proceed. AVhat will 98 gallons come to at 1 15. per .rallon^ f 4 .18 » • n £oS . J 8 Ms. Jn introducing fractional parts of a yard lb Sfc in he quantity, when the pr.ce is shillings 'per vari reckon the niini-f«r oa Q „p^„- .i.. u-k- ",. ' ^'•ro, he 3 quarters as 9 pence, as the following' eamZ will explain. ° '=•^'""1"''* >v hat will 47^ yards cost at 5s. per yard? 47^1 at 1 shilling = £2 .7.3 JEII . 16 . 3 ^^tis. ]2 What will (ill : unis (Just at 1 Is. per yard ; £3 . 9 . G II £'iV, . 4 . G .1 'us. What will 05:{ gallons cost at '{•'5|at I sliilling •---:- £^1 .5.9 9.1. per gallon: !) £38 . 11.;)^ What will llI,|/6«. cometoat 8< at 1 shillings £5 .11.3 per /6? £li • 10 . .ins. What will 129 J or. at 1 shilling = £G . 9 . ( conic to at I2t pcro: £T! ■ 11.0 .;2«s. What will 185.f s/. come to at 1 shilling — £9 o . 9 at 7s. per sl.l 1:11 £(35 .0.3 ^m. What will ,3G,3.J /6s. come to at 13s SG.jh at 1 .v^hilling = £18-5.0 13 per lb? £237 .11.6 ^m. What will 5.101 yards cost at IGs at 1 shilling -:r:.. £27 .0.9 IG per yard i £432 • 12.0 Am, W'hat will 66 1 ^ yard? come to at 6s. per yard: at 1 shillirg .-= £33 .1.1 A ' 4 of a yard at Is. 6 per yard in l^ti. ^•1^8.6.9 yh K*. 1011 .•' OF ARITIIMKTIC. Wliat will f.Gl^ gallons come to at 7s. per trallon at 1 shilling =^- jE 33 . 4 • 7 ^ * 7 18 £232. 12.4^ Ans. What will 722J yards come to at 8s, per yard ^ at 1 shillings £36-2 . 10^ 8 ii289 .3.0 Jim. What will 80 yards come to at Is. 3c/. per yard > 80 at I shilling ^jE4 £U Jlns. irorc3r/, being the \ of a shilling, the quarter of £4 what It comes to at Sd. is added when multiplying by the price. i j b j What will 100 gallons come to at 6s. Gd. per gallon > JOO at 1 shilling ^^£5 £27 . 10 Am. What will 120 lbs. come to at 6s. 6d per Ih = 120atl shillings £6 H £39 Ans. What will 140 yards cost at 1 Is. 6rf. per yard ? at I shillings = £7 lU £80 . 10 An3. What will ir.O 02. come to nt 5s. 3d. per o: at 1 sl.siling = X'8 £42 dns. What will 180 /6s. cost at i2s. f)d. at Is. =::: £9 per lb 7 Hero 'Jd. heiufT (he 3 ill •C 1 1 4 . I r. Jna. to at 1 si quarter,? ofn ulhng, £0 . 15s. is added in, be ing the 3 qua iters of what it com©* ullinff. 14 What will 200 gall IVOVEI, SYSTEM at li £10 'li gallons come to at 4s. hi. <-" 13 .0.8 Jlus. Wliat will 220 call per gallon ileie ■](/. being the third of i shilling, the third of JEIO i,' added in. gallons come to at IJ#. 3d. at 1 shilling = £i j . q per gallon £123 15 ^ns. What will 2 10 yards c MO at I shilling ^£12 oinctoat lis. Oti. per yard ? 11 ••I 11 £in JIns. What will 44| yards come to at 1 shilling = £2 -4.6 at 8s. Gd. per yard .' jCI • 2 . 3 to bring in. •ClB . 18 . 3 .Qm. Wiiat will r,9| yards cost at it 1 shilling =-£3 . 5s. 6d. per yard H £1 . II. iGi bring in to jell* 1h Jlns. What will 8lj! • It 1 .shilling - i; 1 . 8 . 3 yards cost at lis, M. per yard Hi £\ • 2 .Oito b ring in. as. What will 'Jl at I shilling - I yards cost at 7s. i)d = £ 1 • n . G £3 7* per yard .- ^ • 7i to brinir in ^35 . [) . U A lis What will 125a ^^^^^^ ^^^^ ^^ , ,^, ^^ ^^^^. ^^^^^^^ ^ at is. =£(,.. 3. 9 i;o. , .,Uo bring ui. >1^ £71 ..3.2 J«s. . id. per gallon ? ing the third of a third of £10 is 3d. per gallon ? per yard ? per yard ? jCI • 2 . 3 to bring in. yard ? 1 • M • lOi to r yard - 0| to bring in rard r "ih to brinix in per gallon r 1 1 to bring m OF ARITHMETIC. lb ^^ hat will 41 yards cost ut 4f, Id. II at Is. =r. JC'i . 4 per yard 4 . 1 i:» . 19 . 8 ./Ins. More 11 yards at lii. being .'i?. nil. i.s brought in one lino. »Vhat will (!0 /// s. at Is. ^-^ jE.3 , C omc to at OS. \d. per Ih f OS. r,d to i ■J . 1 be iiig the anio >riiii' m. unt ■C Ki . ir, . (j ,// at 1 r)en!i ns. y- ■^Vhat will !»Onr. at Is ^£4 . 10 come to at Os . 2d. per <; . 'J 90 at ^d. being ].5.> to briiii; iii. j:-7 . 15 .0 .^I /!5. What will 102 gall ut ] niiiin": nns come to at 7,9. 2d. per gallon r 102 at 2d. bciti.r 17.C. £0 . 2 1 . 2 to brinfT in. £3(> . U .0 Jl ns. What will I \2i^ yard.s cost at 9s. 2d. at Is. r.^JC/ per yard 9 . 2 18s. 9(/, to brim HI. ^•"^J . 11 . 3 Ans. What will 12G.I gallons co.st at 12,s. hi. at 1 shillin g :rr_- i^i: , G . 3 per gallon 12. 1 10s. . 1 1 .Ins. What will 0( jCI . IT) to |j iirij: III at 1.9. >oz. cost at 7s Ukl per or? X"l . J( «». at h/. 10 -»--n . I J ^i„. £4 . Oto I >rinfr III. >Vhat\vill J( »lf //> ■^ . 8 .V. cost at Ds-. ,;Jl(/ |)cr //, :' ;»«. at l(i. •£•'> i . I . ti .'Ins. ■t'-' . 9 . (J to b What will J 20 gall at Is. rr.^ £g n 'iiiir in. on.scoinetoatll.. 7,^ ,,er .allnn lOs. at !(/. 7^ ^69 . 17 , (J ./;„, What will in yard at la. = £7 . 4 13 £3. 17. r, to I, llllrr ,„. s cost at I^s. lOhl £100 . ] Jins. What will I50i gall .!"■ per yaid 12s. at Id. JEG . 9 . to b at Is. r:^: £7 . 10 * gallons come to at 5s. 5d. »2«. iH to biinjr in or? »». at Id. 10 I)ring £4 • Oto ill. r //, :> 'h. at Id- '•) ■ f5 to blillir ill. 7 f '<. |)or irallon - hh. at !(/, '^ • ''» to Ijlltln; in. ■ per yaid r I '2s. at \d. I Of > . to bring in. ''nl. per gallon." i'i. at Id. I to bring in. Id. per gallon- • to bring in. OF AUirUMKTU: 17 l.y the number of £ t bnffi '^l"lling.s o( tbo price wUbring.sout^lfeAltuT'''''""^^^^^^ What will 120 yard.. c..,no to at 5,%. pci- ^.,^1 ' J '-'Oat Is. .-. xc, ■tl.J8 ^nn. n-|.atwill|.lOyardHeorne.oat~]^.pcr y.,r,I : MO at Is. .i;? ^ ■Wliat will ICO gall ^i«r> yins. lon.s conip to at .'3.3,v. G(/. r J no at l.v. = X8 ""I" L'alioii X5G8 y/„,. ill tlii.s Question (ul. ]ia.s b tl IS added in, be Wlint will Hi IflOat ls.rr=:X .'?«« to b • ^ the j of'.Cn I'lHir 111. 200 at l.s. ^ fiO 3'.h. 4d ; come to at ,1f),,. ,,,;. ,,,, .,, £3 . r, .L.v.}. >^his. £■ '0 to briijfr the i of in. Ulicn tl '^Piico i.s any even number of Shil Kl-LK Multiply tl double tl) iO ( injrs- th « out aide or unit l":inli'y by half ti.e Sl.ill e otiier .'ifand ibr i figure ibrSliill mi's. iP'luued wliicJi will i"g», and ifi jivc the an.'-wii yard: IV l^XAJMPLEs. HA T would ]f>.3 yard l'i3 s co.st at J' per yard ^ equal to hair of li '■'ins, 3* IS NOVRr, SYSTEM 1'fie cniisc of this F?iii« ; .1 • i^'Hcl, is tho usual ^vay) If; ;","•', '''r'^''''f? ''7 '^0 -.•oac,va.ua,oou..ho:;i;t ;;;:-;;:-,, ^^'-o'"- ^>'l>f'os-c 1 n yards «t I.,, p^r yard 147 '''"-^ J of J J. ■£102 . 18 ^„, What will 347 yards ^^comotoat IG,v. ,,or yard ,^ 8 , -£'^77 . 10 ^,„ ^^l^'say 8 ti.tri"7!rc 5n 'douhl^ m"^!^''''^^'^ "-'•^'' ^l-' '•2. put it down for shil isld V ' ^^ ^'•'^'' '"«'^«« ■i arc .•]o, and 5 to car y "fc 31 7'T ^' '''^" « '""«« •3; then (Uimes^aJe 24 „3'r' "^7'' ^ '■^"'^ -^-rry 12s. ^^^ '^"" ^ ai-o 27, make X277 Should the oriro nnt u^ 'ity by all theyin'irs a„d d'"', !""'."'''^ ^ "^ 'l-- beforc. '^^' '*"'^ '^»"'''e the unit figure as ll £290 . hi dns. Or, niultiply 342 nv u .\ , , 342 8 -73 . 12 at 16*. '7 . 2 at Is. /-2^>0. 14 .'Ins. or, 45G at 24«. 156 12 L. 18" 4 d/is Uond of innKipIv- 'I ylialttl»oiujm- <^'' i'^ in fact dono '"" It becomos tH above lis. )nr yard ? accd under the w'lich makes ; tHen 8 times " '7 and carry - make i:i»77, '/ I tlic (juaii- iinit figure as unit figure, '«• per yard at 2is. i Ana. '>!• vunirMfntc. AiKillKr method, by wbicb m-iv i.„ c . . "'•'"unv articles in i Z'nlu\ s m^ ""'' "" ""'"""» twelve Article., ^^Ind ij ^,^,2. 'l^ ' - Pn<- of '•'.'-'-■- in tl.e quantity, g.;esa:;,^:;-r''''>- KIlMONSTllATION .•'n.u.MUortwelve^Articl.^W^ ""^" '"-^^^ "'« ''''•''''''''-•••''•t olv^ Mti; w ""'^' "'"hiplied by ^"-'•''^ I'- is :.i"l" :;,"'";;'' "i'"^- 'i«urc«l.„d Ibct accurary. " ^ ' ''""'^ ^'"' "'^' ■""■^t pcr- .„ i'-VAMl'LKS. .urwiJl72cometoat:l..o./.eaoh> ° - x<^ . 1 (ho price of ^ one dozen . i:i2 . C A i.i. It Wha w in '^ ^'y '' '^^^'*"''« ''"^'•'^ a'o G do/ in 7 > !-ri(V -'?;•" '° .^' '^^« '0(/. each r "" ' " 7 ^*-K == nSirf.; as shillings ^X5 .,,,,,-,,, ^,^^ 9 What will I2f; como to at 15,. 8|c/. e";;;;:T~ ^5.v. »,fc/.=-=I«ap.; as shillings Ji 9.8. r» ^99 • 1 . 10i,4„j What will 147 Jin ii'e equal to lOi dozen 1 7 . 7 i, i In ","'. ''"": .[?. «' ^ '*• n<'i- per gallon r '.1« "i«; as shillings =:£jo .11.3 12^ Aris. £120 . 7 . 9a ■M 'is. i ">i)\|.:i, sv.si'i: M 'i'f will 2.', },,,(,^ I d - 15/ >« u'ortli at ,i.s- 7,/. H^^Shllliii^rS:^^ jjj J tl oacli: '" price oi' I <| '" •^•'> "id. total. io in. £1 yjns .Voh olc. file otio tinier •-' ■-■'•• 7(1 t,al. icii i;i wlicu niulti,,! r"'y, IS ( -i-'- •^^. is .nnltipliod l.y 2 ;, .1^ ','""'';'-^ '"""<' ^^1 111- rcti 'f calcii!;tt {'lying l,y fj, Sii '>'• prefer it, 111 " pro;)er tijruro <-' OVOlllI Hired (jiuinlilii^ .>,;,. i'liis, alter imilii )p)se(i.> vaniHorclofi '"I'v l)e aildej. 'i'J ■^« 7,/.---;7/..,^^l lllllllrr^ 1 ill .~..^. 7,/. lUr P"r var.l. •"' (I £11]. I: 1 f •^J'lj. £n . a The 2 (lefieieiif ■■'to,v.7f/. (lacii to ad 'Vhat Will a ol -•!'<• per /,6.? "•••^t ol'tca, cont •:(!. (I. itcin'r I ly. Ji'shillini aiiung ;},j/i.,, s^£j.IO.,; talv , cost at Is-. C 111 Cor I//; leu ^ 's. 2i./. ^vl •'jf'Js, X17.J- miilti|)|_vin(r|,y What will 9i\}J/) ■il'iS.oCtOA Ts. 6ifd...^m;f^i , ,^^ g,,j„ _ conic to at 7a. G^t^. £4.10.'.) 3s' per //; '^(^. to ta!, vO irtj adopt the 'P qii.-intify he nnd 'ins. £3ii . y <):i "1 Tor the .1 lb, ahovcthefJdoz. lbs. or a certain plus. Thus siinic system, observino- t 'lumber ol'd o subtract th ozetis e over- fc>uppose7lyardsorclothat7.. JQI -ti-Il . 3 t'«- per yard. amount oi' 72. 28 5 . 6 ■^'lO.^ deduct for 1yd, 'ins. £27.n th e overplus. • each.- '" I'l-icouj-i ,1,,^ 'in 7(/. to take id. ''''i'lyi'iy, ,s c,,. 'itily (oimd wlifu 'cd (/nunlilii^ ■,>., Ins, a!t(!r iiiulii . deJ. 'riiiis; ■yard. >i'ico ol'fji^ i'i'o '2 didiciciit ito.v.:^;. oa,;|, t,, idd, Ijcin'r 1 ly :cr ofdozoiis act the over- ■ yard. lount of 72. iiictlur iyd. ! overplus. OF AilITIl.MF,TIC What will 1 12 yards como to at ll». 2,^/. per yard Us.':y.^l34ld.-^£0.14 . i.l price of] 2 yards. \V «0 . f) . C i)riceon il; too much 1 . '^ . l.J by 2 to deduct- -f 1. 2. 4|. ylits . .t; 7f) . 7 , I 3 hat will 1C.8 gallons of rum conic to at 1 l.s. S-hi i,vr ffallon? " ' II.?. ^ld. = hlOJs. or X7 . . .1^ 11 £'M . o .3 Ann. The simplicity, accuracy and expedition of the furo- ixoin-r, docs not stand in need of comment, its practical utility being perfectly conspicuous RuiK for reducing cwh. qrs. and Ihs. to //>,i —First place down the number of c,-/,, , to the ri-rht of them put the number of//;,, contained in tiio «,". an.l lbs then add 12 /is. for each cwt. and you will have the number of //;s. in the whole. Should the price per /6. be pence, consider them as pence; if shillings, consider them as shillings, asfullv explained m the followin-r ° ' ^ EXAMPLES, What will G cwt. 1 qr. 20 lbs. cost at 3d. per lb. } 72 120 lbs. as pence — 60s. or £3, at hi. .5 per //>, I)KMONSTR.\TIO.\. The 6 to the left is the G cwt.; the 48 after it i.s the jBlbs in the, jr. and the iO /6s, ; the placing of the la ^)r any two figures) after the preceding figu^-e, is well known to convert them into numeral hundreds, thus, 100); but as each ««/. contains 112 //.s., it is clear that there are 12 /6.,. deficient for each act; hem-c U.e neces..,.y for adding 12 lbs. for each art Hav ,,g discovered the number of /6s. In any given '{)^'/^^. considered as pence. ''^'-€3.10. .t I./, per//,. 7 ^Vliat uilJ a cwl ->(„., o ;/.. „ ",/:; *" ''" '^^"^^' '" 'It j.jv!. per AV ? 9G I^WMs. aspcno. «f'''.=-.€4. at )(f. per//,. i;.'3 dns. 'i I'o .same example by Rule of Three '■'■ ''■ cwt rp-s lbs. J 4 f-mhinits O.J ■ 'd . 2 4 28 9t;0 lbs. ■23 i) '^380 1920 ■1)22080 a^ larth msi -.)'3.5'20 a s pence. -|'^)40|0 as .shill ings. ii is liono by tlio proceed to find on pence, by tlio any jfiveii shil. ge 10: which it ing this Mool{ to I'l'i- Ih.' ;e. '^^(■l. per Ih.'f OF ARITHMETIC. What will 9 arl. <2 qrs. IG lbs. cost at 6.U/. !>72 108 v2)\mo <£. s. !'0s, --4.I0 at Ul i.er lb. per lb'. L.<20 . 5 ^rtj, Wiiat will lOcu-l. 3 qrs 8 lbs. come to at 8d , r M J 1092 ■ ' 120 15)1272 101s. =0 . 1 at It/, per lb. r //;. Iircf- I-. 40 . 8 .Ins. What IS the pnce of 1 1 cut. 3 fp:<<. 4 lbs. at r^hl ncr /& ? 1188 - ■ i"-^'" 132 12)1320 L. ,9. 110s =5.10 at Ic/. ^ ■''.-•iS. to bring ,n. /.. 52 . 5 ^ns. What will 12 f!!/. Oryrs. 12/6.'?, come to at I 1206 • 144 L lUOd. =6 at Id. 10:', 0\d. per /6? L.Gl.lO Jlns. What will 12 m<. 3.2>-s. 24 lbs. cost at 10k/ ner /// 1308 Mi 12)1452 12Js. = G . 1 at Id. per /i lOi i., 63.10 , 6 dns. 21 NOVEL SYSTEM Itmust bo observed, that when the o,». and /i, re he ad., as heretofore, but added in, savn.L 3 om and '24 lb,, make 103. and 12 hundred ar^. cquaUo Sb What will 15 c,./. qr». /i,, cost at 10.?(i, yer/6? 1500 180 12)1680 L.T5.5 ^ns . When there are no qrs. or lbs. two ciphers must h^ added, as the avt. must be reckoned as numenea un dreds as 100, to which 12 lOs. must be added ?on.ake 't 1 12 lbs. the number of /6s. in u cut. What will 17 avt. Orps. 16 /6s, cost at llfd. ncr/6? 1716 204 12)1920 L 160s. = 8 at Id 111 L 94 ^ns. It is hoped that the above examples, at wcn« ner/6 will be ound suflieient; wo beg to introduc^e Txaniplt where the price is shillings per /6. cAamplc. What will iscwt.oqrs. 12 /6s. come to at 2s. 6d. per /6? 1868 216 2«. 6d. of a L. is ^)2084 L. 260 . 10 Mm. When the price is an aliquot part of a L as the above .s one-eighth, nothing cL be'shorter Jha^trtako qrs. and /6.». ro- ot be placed after saying 3 (jis. and equal to 1308 10|(/. yer/6^ OF AH!TF1METIC. 2r> iipherg must be numerical hun- added to make l.fd. per/6? It pence per lb. luce examples 2s. Gd. per lb? a L. as the !• than totako What will I / 12 r.n'l. 'J (ps. 8 /6s. come io ut I v. 4(1 pet Ibf 3292 Is. Id. of a £ ia ;.,]3G'(\ L. 210 .1.4 Am. \V hat will 31. G cut. 3 qrs. 14 lbs. cost at Is. Qd per //>? 792 1». 8t/. of a /a is ,!, )7'190 L. G2 1 . rj . .1 .7„,5. What will .3 /. c/d ;;! ips. 12 /is. cc^t at 1009G 1 2(J0 per lb f .s. 1185GS, = 592 . IG at I?. .3 i. 177» . a Jlns, CaJcuhitions of acts. ,/,s. and lbs. at poult's, .s'lillu^y, ano /H.'ui> per cut. may be done by tbt r-jjluv. in- rotl.od'a. What will G cirl. 2 qrs. come to at (Uis. JJ;/. pt- tivi'^ L.3 - G . Q price of I t((7, I2 t'd. L. 1 . 1,3 . 4 (oi.rui;.; HI, L. 2i . 13. 4 J]. n$. Ma rnd /) per //) ny calculations of cwts. rjrs. and //;.. ..t p,:y.>.h, ,!,!i!u, 12,} ft I ro U I .1) T) .') S n (2 c 5 14 4 5 18 8 5 19 C) } 4 'T" 2G NOVEL SYSTEM \^'hat wWl Gaol. 3 qrs MO lbs. cost mL.2 • G • 8 per etc/? L:2 . G u per civt. ifi'li 1:;:! deduct IG G • B price of 7 cwt. 3 • 4 price of 8 /6s. L 16 4 vi )1,9. ^VhcMi the qrs and /6 the c?w/,9. above as many lbs. as may be deficient s como near a cn-t. calculate for your nuiiritify, (Voin which deduct for per Wluit will I 1 cict. 3 L. i • 4 per civt. 12 EXAMPLES. q>s. 24 lbs. cost at 8 Is. per cwl? •30 . 8 price of 12 Tt will be seen by the foregoing tabic that cwt. L. 4 . 4 per cwt. is 9d. •i deduct for 4 lbs. per lb. L 50 . 5 Am. Wliat will !J ch7. 3 qrs. 27 /6s come to at 93s Id per ClDl? ' L 4 • 13 . 4 per ctvl. "> -T-'. 1 • 13 . 4 being lOd ^ per lb., for I lb. de- ■16 . 13 , 4 d„ct ]0d. 10 deduct for 1 lb L.4G . 12 , G /his. What will j 1 cwt 3 qrs. 22 /6s. cost at 1 I2s. per cwt > L. 5 . 12 per crol. 12 L. G7 . 4 for 12 cii'L 6 deduct for 6 /6s. £.66 . 18 ^ns. 1 12s. per cwt. is Is. per lb. ^> hat will 8 c?'7.2 qrs. come to at llOs. 6d. per ctf/. ^■5 • 10 . G L 2. 15 . 3 to bring in. L 46 , 19 . 3 Ms, OF ARlTIIMKriC. ■27 G • 8 perctd? Cwls. qrs. and /6i'. may bo also done by (ho followinc; much approved nui.E. Multiply fhc Ih^, by 2], mul consider the product, as pence ; multiply thi; cp-s by .3, and consider the product as shillings; tiie arh. you a;u to con-sided as L exa:\iplks. What will 73 cwt. 2 rps. 7 lbs. coyt at £,,6 . 1 . « nor cid ? ch;/. (jifs. //js'. 73 .'2.1 -5 . 2.; cit'l. qrs. lbs. L. Is Qd. :^^.!, 73 . 1 1 , r, price of 73 ; 2 : 7 at 1 per ctol. 44 1 .7 G : ex- T^aaai ill Hi ■It 80 NOVEL SYSTEM The £70 . . 10 beins the amount of the foil quantity at £l per oz it is divided by 20 which the amount at I shilling by 8i as the price is 8^ shillinirs. What will 5 lb. 10 os. dnls. 20 owin^ gives por oz. and that is multiplied or 8s. Gd. per os: per ounce grs. come to at Us. (id 70 . . 10 3- 10 . Oi at I. £29. Id . 41 147 oz, JG dwh and 18 i-rs. of gold at £3 por o: £J47 . IG . 9 at £l pin- o: £413 . 10 Ins. H ? « 181 oz. 15 (/((.'/s ;•)•? nt £ t . . 1 £181 . 1 ■J • at jCI per oz. 4 per 02. 15s. l^d. at ItZto hrin" in. £727 . 15 . 13 ^,,3. ^^VERAGE CALCULATIONS. The fbllonin.r avcr.crf, oaLulations have alTordcd the rt.oatest satisfaction to all u!.o have studied them for the singuiarly short n.eihod i,y winch they have been worked, and the perfect accuracy of the answers. EXAIMPLES. What will 6 pieces of ril,an.l come to, each piece con- taining 36 yards, at the (uliowing prices, and what is the average price of each yard .-' I piece at id. per yard. J '^^- 6 pieces of 36 yards each, I ^''f- at Id. per yard —. !8s.' 1 Id. ' ~ 1 ?,d. ^ 1^ total £G . 6 6)42-;. Jlna. Id. per yard average. )me fo at lis. Gd OF ARITMMETfC. g, DEMONSTIIATIO.V. In this and the follnu,, .r Ciilciilations tlin pricca arc added to^utlicM-, wlndi lu-in- divided by the riuni'- Ijcr of prices gives the av.ra-c price per yard tho amount of the whole h.io^ o.a.ie .:p at one penny 'aod multiplied by the average pr.cc, gives the total amount. What will lOJ Iambs come to, purchased at the foi- lowmg prices ? s. (/ CO lani'.js ;it. 4 . 4 each. 20 4 . 3 '^0 G . 20 •= jj . ^ '-'0 11 .10 5)3:> . ^iis. Is. tlic average price. 100 lambs at Is. ccjiial to £5 7 £lj tufal. 500 yards of silk at the followin- prices; What is the total amount and avcra average per yard. What is tho averarr price, and total amour of a case of 20(^ hi.ts, at the folhiwinir prices ' 50 hats at 1.3.7. Shd. ca'^h. 50 1.5 . 8-i 50 17 . 6 50 If) .10 4)G8'Tli .•?. 17 . I avcra.'jo. ■200 at Is. =^ £10 . L'OO at Id. ^ 16s. 8c^. 17.1 to bring in. £170 . 16 . 8 I V I i ^- NOVKL SYSIKM ; What is the average price, and total amount, of 9 lambs, at the loll. )\vi-.i:r [),-i(;j.^? 30;J Jambs at "^ i).s. ;»i/ each 300 n . ..-3 300 1^7 3)3,-3 . '.) s. 1 I . 3 avoiatrc. 900 at Is. each - X !.5 ^ c£50<3 . ,0 total. f., What will l'2 pioco. of ribaa.l ■■..mo to, each mooo avcrag,n;^-k]ya,d. and what is ,,.u average pri ■.■ ot each yard at tiio rullouiiiiT price:;.' 2 pieces at 'J^'.ri. per yard. .^ ;J ' - I-'i'-'ccs, 13 yard.9 (>ach, "^ ''f at IfZ. per yar(l^-=i:j . ti c, o ,,;■! ~ M '*' * ''^'i total £!(:• IG . 'id. u yard average . A library containing 100 hocks at the followin.. prices; required to find tho average price of each book, and t'.tal ainount, 10 books at 'J,'t. 4.1 fZ. each 10 3 71 i» 1.4 10 5.71 10 (;.7| '^ 7 . r,\ 100 books at IX ^ ■ ^5 Is. each==:i:5 .0.0 • } '-'■n 7.0.1 10 9.9a I '^ '-• "?.T total £35 .1.2 10)70 . 5 ~ S.7 . 0» averagopriccofeachhook. Twenty-two ca»ks of prunes, the average wc icrht of each cask supposing to be 81,'6.»., at the folio wfncr amount, ol' 3tal -e ic; . I G . oofeachi)ook. OF AFilTHMF/no. 33 prices, rc(iuircd to find tlic aver;ij.^o pi ice of each lb. and the total amount. 2 casks at 2} J. pi>r //>. \ ^h ; 4^ '2 6.^ 2 7t '2 (i.'r ^ =4 •2 l]\ 2 Ill 2 nt i])y{i Gd. per lb. avcrnge. 2J casks. 7s. price of 1 ca.ik at Id. per /6. 154s. --=£7. 14 , l)cii),'r the amaiint oi'nil at Id. Multip. by Qd. Ijtiiig tlie average price. £CI.1'2 . U total amount, .■'as. 'Vhc above calcnlnfion takes inoro tlian five hun- dred fii,'ures to do it in the orciinaiy method, either bv the Rule of Three, or by Practice, the few il^^urei taken by this sy.stom arc comparatively trifling. 1 !0i>ro33 of |}u(to!)s at tlie foih»\vin;f prices, required to lind the avera<;e price of eacli gross, and tlio total amount. 10 gro.ss at Is ."iUl per gross. 10 o.oX 10 2.4i 10 3, 11 10 ^1 . t!i 10 3 . n| 10 .t . 5^ '^ ' ^ -O;^ 1 10 gross at Ia. '"^ " ' ''' . 4;| per gross^X'J. 10 . 10 G .11 " 1 „ 10 a . 4 '_:. dns £22 . 1 C . -1 11)15.10 s. 1 . 2 average per gr^ s.?. T afi- 51 ^:t,.. H N 1 1 '?:.; NOVKI, .SVSTKM '-'ouhjrj caladnhms oj IhrfH.na, description: ^ dozen [Kiir nt ' ;3 ; 4 ]: '2 • • • . I ". "' , d. •' \> f puir I, r 7 II G 4 , G G I..' 1.13 . price of 12 puir. , , ■•>'■'-*• 'J average pr pair. l^d>zciipiu-at !s per pair -=..£7 .4.0 -Cl'J.IG . total amount, bo^ono in^r'r^''"^' '^••'''^"''"'■-' (""d tl'o rollowm^- to ent pan.s of stockni^s .sfate.l i. il.o qne.tion, have been l>nco, -s.Od. or ii^«. give, the total a.m).mt. A library cnntaiMinur ,0) Book, at the foliov.in.. alloun't''"'""' '" '"" ""^ ''""^" I"''^'- ""^ ^^"^ 1') books nt'29. n;/ 1.5. 20. 30. '20. Vs. (;.'; each --— 2'js Od. .3 . G o 1 G I . G -= 9..) . -J . G ---= IGj G . G •••• -= 133 . 7 . 6 "•• = ril . G 1 00 books 100).500,3. or £25 total. i ! '■ ' 5s. average price. ink would proba- il'i lions of a sim- niinlilits arc not ■htllior subjoins a cripiion: ircliased at tlm Lveragc j)iico of OK AliirilMETir 12 pieces of riband, cad 86 lowing prices; r and total amount ' l'i<'<-«' of ,>^ yards, at the fol- t-qu.red to Know ll 10 avernoe price I piece ai S^d per yard =rr-, 31,/ .-|i .8^ 12 pieces 12,72 OJ. 12 Pioccs at Id. per yard :^-- £ i . ig pf-'iyard averacc. irice of 12 pair. ivcrago pr pair total amount. 10 followinj^ to lliat tile difler- tion, liavc hcen r, wliicli beinir air, and heinjr ;li pair, wiiich Ml at Is. gives y tile average o'.int . tiic loliov, ing ii';o, and total £-io total, 'erage price, pieces of silk- at (Jic foil le.juired to know (h and the total amount lGti:;tlis and prices, <-■ average price of eacli yard o will 2 piece of 20 yards at 2 . C per yard -=- 50.0 • V.J . •4 . (j, •0.0. 07 . G G7 . C> 150 . 100 =-^ ri.5 . 100).150=^::£O2j(> 20 casks of raisin., each cask avcrag.no o or* HiT, fold in the folJowiuo- lots -ind ..f .1 f i ' pi-iees; "" ' '*""^' imdervvritten f^- d. 3 casks at Al pcvlb. —- 131 5 ,51 — r,>,r 4 6.^ =^ 20 ' 5 3 ■1h - 371 ''h =^24 20 20)I30rf. on r 1 o *^^^" P^*" '*• average 20 firkins, 2 9rs, IG lbs. each at Irf. -^ £g £39 total. NOVEL SYSTEM l.»i 1 1 cases o! ill l(»fS UH foil '.'.'■'^ carli caso a V( to ki ow, !ui(J ;it the full rii^in<,','3(^r.'?. 15 lbs. snKl low ilie avcratrc d 2castj9nt 4,}pnr/6. ■= ol o\virig prices: rf'quircd pnco per lb. and tutal amount ■ ni I7f -^ Oil = 19 lU 2^ oo 22)181^ 9-) 8i } avcranro price per Ih. - ca.-;os of ;3 («•■». i;./;,,, encli --- tf) . 1 ". c j,t id O.J lOOsiikyluiwl (of a! amounf, £7|. 17 . 4.!. ■s, purchased in the lollo\vin"ty 1 G iow: 300 tons at Is, =£|5 s 17 6 per ton. .£262 10 ^ns. 1^ prices: rf>quirc(l and tutal amount ffo price per Ih. • C nt \d. 8.! X'i. ■u to bring in . Winrr lots:, uuj a! i^'^3 \C) total. ivcrogc price. IS follow: foil ow: OF ARITHMETIC. j,^ A ship containinnr loOO tons of coal, as follow • Primo cost 8s. &d. ' Freight -8.1 Duty - 2 . G lOOO«onsatJ,.=.jE5o! 'o^ P""'""' «• J9 . 1 ]000ntld.=je4.3.4 total amount £yo4 .T77 ^" '"'"^ '"' ^.P""clieons of rum, as follow- No 1 containing 118 gallons- 2 119 4 v.. ".'.'.'.'. Jl? ^°° e^'^ons at I*. =^ ;e30 5 iiJ2 '^ . *'i^ ^o. 1 containing 11 J gallons 2 117 4 .*.*::;:::: \l\ 'ssgaiions^^ae. 5 5 1^4 ^-^ ^-- total £507 . 10 gallons 725 at Is. each. 1 rime cost per gallon 4» Freight - - . i Dufy - - -_9 wi . 1. . . ^^■'^"^s in 14s. per gallon .i,,. What will G p.pes of brandy come to as follow"' rio. \ containino- Il^» «= luuow . 2 114 s 3 116 « 4 noi O IOC) » 6 137,'^ . 72] I gallons at ]s.=je36 . 1 . e Prime cost per gallon 5s. Orf. ,q, i^i'eight - -1.6 i_* i5"ty - - - I2_^ ^694 . 8"T7^ 5 «tands in ,. 19 . 3 per -^,li-[r":^ p w, Wlmt will r: buns of Geneva come to a. fullow? .\c>.l comainingll,J,'„ gallon;* 2 111,^, 3 I I /i ' , ' ' " It) ;? H6^, •5 117 - '' no;;, ^ 120 ,{, « J25 '* 128,!, '^ 132,!, 12U2,^, gall. =.£00 o ^>«at ,,. |;iimc cost per gallon 3s. CJ '^ Ji"r;:;:;::;::::_^ ^:!!:Z:« stands in s. 15 per gallon. ^,„. Al'/c, Tenths are added up liko othpr rr.^r lo», i« : or ., d.illing 0^2; po°cf °"' "' " ''"8"'- ^ 4 INTEREST. Ir.Tr.Rf:sT ,« the profit allowed by the borrower to tho knder, for th. loan of any sum of money. ?or a deter imncd space of time. /• '"« u ueter- ..-ecn the bJr;ow'e and^he nd^r'toVe^''^'.^"' 'r use ofevery ^100. ofthe PHnd?:;\;;e?v?„tt^ '^^ ^ T-.cinttiCfet and Principal together, ' lores, the broken nths, niid wliicli ccd into the pre ■ as follow ? > '2 2", at If. 15 13 1. ^ns. [■ fractions, by obovc »he line, denominator; es 3 times nml at Is. per ^s\\~ M-rower to the y, for a deter- vhich Interest igreed on Le- e paid for the ^e months. e amount; by r. OF ARITIIMF,riC. «) Wo shall hero introduce two Rules for Interest nt £o per Cent, both of which have given the L'rcutcst satisfaction in all instances. at any First Rur.r:. Multiply the Principal by the Months, and the Pro- duct m Pounds Sterling taken as Pence, will be the Answer. Or thus, the Interest of each Poui.^ for one Monti. v^r'^ nr\i' °"f '\'""^; """'^ '" •" P'oporlion for yimtolu Pound, therefore, find tiio Interest for Zvtf I """n !^^"'/''''.^ '' ''y "'^ ^"'"^^^^ of Months, the 1 roduct will be th« Answer at o per cent. EXAMPLES What is the interest of £3G for three months? ^36 JJy first Rule. 3 ^108 taken as pence = 9s, Ans. Or thus, £'36 for one month = 3a. multiplied by 3 months its. Jns. »J?°.'^T'^-n'!'''^'"S*''^^''"^'''«t. and both eouali^ accurate, it will be found must advantageous to adopt it^ What is the interest of £48 for 1 months at .5 per cent ? £4S for I month = 4s. multiplied by 4 months. 16s. Jlns. DKMOVSTRATIOW, each £ .for one Month at £5. per cent, is one Pcnm, £. £. ''' mo. \2) - i; mo. 1200 £o ^40 No. of ponce in a £. I200J 1200(1 penny. j.«ll ■Mm 40 JVOVEL SYSTEM RuleTf xLrThaWr ^^•^"^•"'^d.-ith the double prove thnfftff'T* . ^'^ ^''^ operation necessary to per Cent sJ"Tt "^'^'^ ^ ^"^ °"° ""^''^^ a"; 5 propVie tv oftZ ';r"S««tablished that fact, the Such as trlnr^tl • ^PP"'^'" ^'°^'" »"d simple. o^LA for a month must be the .•, of n,,. 4d. which What is the mterest of £.96 for 7 months »t 5 per cent. ? mterest for 1 month 8». 7 L.2.16 AtiB. What is the interest of /..108 for 2 months? mterest for 1 month = 9». 3 18s. Am. Find the interest of £. 132 for 8 months. -L 132 for 1 month = 11,. 8 La.% Jins. Find the interest of L.33 for 7 months. ■!> 33 for 1 month = 2j. 9rf. 7 What is the interest of Z, »• 19 . 3 Ana .65 for 1 1 mon ■t.66 for 1 month = 5s. 5d. ths 11 L.2 . J9. 7 Ant. d with the double tion necessary to ■ one month at 5 ed that fact, the money by either ear and simple, aregoing demon- eingso, by this: at L.5 per Cent of the subject to > for I month is itly the Interest f «s 4d. which 3 atSper cent. ? haP OF ARITHMETIC. What is the interest of X.I 26 for 10 months ? 10s. 6fi. for 1 month. JO 41 L.5 . 5 . Ji ns. What is the interest of I, 148 for 7 months ? 12s. 4d. for 1 month. 7 Li . fi . 4 .1m. What is the interest of L.28 • 10 for three months > 2s. 4}^d. for 1 month. 3 s-7 • l-i- dns. Hero L 28 for 1 month is 28 pence, or 2s. id. and 10s, being half a pound is reckoned as i a penny .rives the interest for 1 month, which being multipliecUv 3 (the number of months) gives 7s. ll^d. the answer "re- quired. What is the interest of £.122 • 10 for 5 months > 10s. 2id. for 1 month. 1^.2 . II . OJ Jlns. Toll me the interest of £ 150 . 5 for 1 1 months. 12s. G|ti. for 1 month. ^* Here the interest of Js. for rr , , „ , . ^ '"«nth at 5 per cent, is \ £G- 17 .8.f Ans. of a penny. ' What is the interest of jClSo . 5 for 1 montlis > ^5s.5\d. for I month. ■£3.1. 9 Ans. What is the interest of I, 3G, £1 ' 10 . 5,f for 1 month. £12 . 3 . 10 Ans .f|* 5 • la for 8 montlis > IIcref)r 15s allow fff l)f;ing(ho 3 quarter,'? nj a £. ..■■■■■I it I 42 NOVEL SYSTEM What is the interest of Z.420. 15 forWmomh,. Ll . 15 <^'| for 1 month ? 10 Ln . 10 , 7A ,/in,. What is the interest of L 526 2 -L2 . 3 . lOJfor 1 G for "i"nth. In this ouosti ' niontlia r on 3s. 6r/ cnigthc ^Lofa7..tl„> I, 1 5.6. lOg ^„5. *of What is the interest of L 12 10s. 5f(/. for J month. ior it •^ • 7 . 6 for 2 As 7s. Gd. a penny is allovvui] montlis i.s f a y. f f>f !(/. are allowed ^ I . 10| ./Ins. What is tlie interest of L. 147 12s. 3§(i. for 1 month. 12s. Hd for it 12 • G for 9 montl 'IS; •eing i> of a pound, § of a pen -5. 10 .05 ,Jns. What is the interest of X. 1002 are allowed t ny or It. L4 .3 .GZ for 1 11 17. C month. ior 1 1 months 17s. Gd. beinn: l of a /,." ol I^^ are allowed for it'' I are mullipjicd like farll sayini 11 times 7 arc 77 (which is ;} ])cnce) and 1 Calculations in int near for biisin '.'"g3 or 0,1,,,, F,^,ctioii.y. .i^ocs 9 times fi penny. and 8 mio 77 eaves o which is g'of e.?s by talun" ti] I'o.st can be broii.i" J 1 months .' 'jcing J of a X.^ e allowed fur it 'km- rraction,s. '7 O0C3 9 times '9 § of a penny, gilt fiullicientjy •iliqiiot parts oV in the qiio.stiou ' '-""''i;.!; tlie so- '^1 Ij.V the first and the pence 01 lis. asj,vthe !■ 8 monllis .' 7 Ji /:«. OF ARITH.METIC. ^,j The £547 as ponce are equal to r.'^ ^ i a .. 3s 4d. beinn- tho ' n< .. ,. '^'I"'** to i,^ . o . 7 and the •Js. b^/;^.. lor 1 month. 8 A. • 5 .7 ^;jj_ VVhati,sthom,ere-stofi:93 . io • for 7 months ^ 7 '-^2. 17 . 3^ ./?,„. 6u;; . 13 The 689 t ,0— ." :> if - 1 ,1 EXAMPLE. What is the interest of £100 for 12 months .' •CJOO. for I month is 85. 4d. 12 £-5.0.0 This sum has been worked on the samo nrin^; i tl'o Preceding, winch clearly proves trenract " Having explained Interest at £5 ner cent f..,- -onths, we shall now introduce £0 per ce'nt for "oafs As the interest of each £l for a month i^ 1'/ ,u •..to:est of Xi fur a year will conseq' enUy be ,., ' ''' the Therefore multiplv tii profluct in pouiids, taken principal by (lie yoars, and answer, taking care t over .such part of u shill o allow Tjr ihesh as snillmgM, h-,|1 f^! tl 10 in' as tl iilings and pence Or, the interest of each pound for tent. IS Is, and so in proportion f K-y arc of a pound. year at £0 per any part of a pound. or ■4 "f Examples. WirAT is the interest of £30 for 3 years at £6 nor cent ■ £30 3 90 as shillings =^ £4 . 10 ^ns. Or, .£30 for ! year — jEl . lO nmlti|,|y by ;3 ^^^^.^ £4 . 10 Jns. Wnat is ti>e interest of £45 for G years at £.5 per cent : £- ' o for 1 year. £i3 . 10 v4rt». What is the interest of £12G for 3/, years ? £6 . G for 1 year. 'H JE22 . I ^ns. ^^ -S to bring in. ^£126 for I year being £G . 6 it is multiplit-d bv 3i the tunc lor which the interest is required. ^ " What is the interest of £90 for 4 years and three months ? £4 . 10 tor I year ^13 . 2 . 6 ^ns. What is the interest of X128 for .5 years and 9 months ^ L. 12 . 5 . 4^ for 1 year. ^h L.4.1 . 91 to bring in. L.114. 10 . 2 Jim. 79 6J being tho g of a L. the f of a shilling = Ud IS allowed, the interest for 1 year being L. U 5 41 the J of It IS added in for 4 mouths, which is the third ot a year. Jhiother very short and simple Rah for Interest at L 5 per cent, for years, or years and month, is this : Rule.— Consider the year.-? as shillings and she months as pence, and take such part of the principal as those shillings and pence are of a /. , which will be the Answer. Required the interest of L. 341 . 10.6 for 5 years. •Jyears as5j. isofa/.. ^)347 .10.6 L.86 . 17 . 7^ Ans. What is the interest of L. 827 , 10 . 8 for 2 yci-ra nnu 6 months ? ' 2 yis. 6 m. = 2s 6, 1 year and 3 ^Vhat is the interest of Z.909 T i r / i months ' • IJ . G for 1 year and 8 '3ii)128 . 16 . 8 ^ ^ • 1 . 01 Jlns. ^^"Iiat is the interest of L. 750 \5 71 r„ , 1 months ? * • ^"- ^°^ ' year »". Years and Mmths al £ 5 per cent of ^l^ifdet^iluo" Sl^' '' ;^ 'V'r' "'^^ -'culations »br uny len' of fim^ >;•« extended to any amount, and .!o,,lv ovii' ' 11 "."^ V^'"^' accuracy of the Rule is . - ^"> tv..„ ed by tne c.rcumstance of anv sum b " ' Simple Interest for 20 nr interest becomes as much as tl years, in which time the taking such part of th years, will give the Answ «ase and accuracy. le principal; therefore by prinoipal as the time is of 20 with the greatest degree of OP ARITlfMETlC, ' f'-' I year and 3 16 . 8 • 1 ■ 01 Jlns. h for I year and 15.71 • 1 . 0^ .^ns. for I year and 8 15 . 6 G . 3h Ans. for G years aud • 12 . 6 10 . 10 Am. 1" 7 years and G yrs. m. for .5 for 2 for 7 per cent. It calculations 7 amount, and f the Rule is my sum being 'hich time the ; therefore by time is of 20 test degree of . ^^. £6- PER CENT. In;;re7t irn-eTa"nd ' ScoT' h"''^''"! ^"^''> '^^'"^' "'« '^gal i-re introdu c S^KsTa^;"^ other cou"ntries, Tve t."at rate per cent th t E ever'Eren d''""^' ''f'' ^'^^ '« not only valuable as a RiHc for r ^"*=*'^^''-«'^. «"d cilitates tho mode of 0^1011^ tm^ v ''''' "''"'•' '^"' ^'^- R,.r. Tir . • . "'^"''*""i'' ^'^"""3 other rates. ninths aTd he &;'et ''"""'l' '^^ ^''^ """'l'- of alter c^ttin, ^frX^rit' gre"':;,:rel^^/f;';''''"»--. «.^ered as pence, and as many fifthrl:nlU^th: aL^^.';; . For 15s. For For 5s. add \d. fOs, add '^d. „ - add |f/. I^or I6s. 8(/. andaboTcaddlci. "E.MONSTUATION OF £6 PER CE.M. If 100 ^ r f 'l!f'»«-^='^*^'llmo. 1200 f- 6 GjE 240(/. in a £ 1200)\AA0{V d. J 200 210 _240> 1200 S with this demonstrnt on . ^'^'^""'f "°' acquainted adding ] th to tr nter ' ; n?" ''"''^ themselves by diflbrence) and it J ^J' "* ^ ''"■ "^"'- ^^''ich is the 'he same. But to reLfrn if'tlf '^'r' '^"^ '^^ «"'» -f 'or a month i., rd,";"'/j'?^ ',"tere.st of each pound months soeve.- will beVj m^'' '""^''P''^^ ^y "'»'^t 'hom to pounds shilli^, ^ ' , °P«'"'»on of reducing dividing Ihe pro'dt S,,; " ^f"?"'.'^ P«'^'^^'"«d bf 'Jo"c bt. cuttiL off- he u' .^ rnult.ple by 20,), ,,,,;,,, j^ t^». and then c?n'Le inHL ^r"'"' "'^'^J '^'^'^'^^ '' ^y (,5»' 48 NOVEL SYSTEM again by 20, and dividing by both of which is equal (o dividing by iL),} in t!ic first instance. The cause ol dividing by 200 is, that 200 lid. are equal to a pound; It will be seen by the Rule that a proportionate allow- ance is made for any shillings and pence that may be produced, by multiplying together the principal and months. The Authors are particularly anxious that those who possess their work, should make themselves well ac- quainted with 3 and 6 per cent., so as to perform the operations with facility, as by obtaining that advantage they can with little trouble, ascertain the interest of any sum for any length of time, and at any rate per cent ; all the other rates being founded on 5 and 6 percent.; knowing how very important they arc, more examples and explanations, S:c. have been given on each of the foregoing methods than on any of the following, and which tiiey trust will be allowed to be extremely sim- plified, and rendered perfectly easy of acquirement. EXAMPLES. What is the interest of £30 for 3 months at £6 per cent. 3 ! 9;0--9s. Od. Ans. Here the principal, JESO, is multiplied by 3, which produces £90 of which the unit figure is cut off, leav- ing 9s. which is the Answer, the unit figure to be reckoned as pence. What is the interest of ,£40 for 9 months at JEG per cent ? £40 y Ijl 36|0 = £I . l(j Am. What is the interest of JE50 for 7 months ? £60 35|0 ^£i . J, 5 //«jr, What is the interest of £70 for 8 months ? £70 8 oG|0^ £2 . k; ,/htt, which is equal to . The cause of squal to a pound; tportionate allow- nce that may be he principal and js that those who imselves well ac- IS to perform the ig that advantage he interest of any y rate per cent ; j and 6 per cent.; :, more examples n on each of the e following, and e extremely sim- r acquirement. IS at £'6 per cent. Ans, lied by 3, which 3 is cut off, leav- lit figure to be onths at iSG per IG Atis. J.^ /ins ' • 10 Jlnt. OF ARITHMETIC. >Vhat is tho interest of jfigj for 8 months' jC95 if What is the Ml tercstof^73 for? months.' £73 7 •5111: £^•11. i>. ^rt,. n hat .s the interest of £87 for 6 months r £87 V,. 52|2 = liat is the interest of £365 .8.10 fo £3G5 .8.10 51 r 13 montlis: 13 Ls a ny til 475|O.I4.|0 = .f23.15.0.i .4 hesitatii.ti in all in simplify the method the Rule directs Wl liat is the interest of f 825 . y 2 for 1 £825 .9.2 14 for 158, add M jrh t. 1 months? Here the 6 cut off is 71, and (he 8,. 4c/. ,s a half- penny, but as .t .s not ^d. put down a half-pennv Interest for years and months mavbedone'in tli.> Xw'-4""^^"^ ^^'^"^'"^ '^'^ into-months"%^ tt EX.SMPJ.ES Wii.T is the in^te^est of £70 for I year and 8 moiUh..^ 20 months = 1 yr. 8 m. 140j0=.je7. Jlns. >^ l^at is the inte^rest of £85 for 2 years and G .nonth. ■ 30=2yr.s. 6 m. -^5,0 = £12. 15. Jins. \^ l.at ,s the inh^^rest of £30 for 3 years and 1 months = 40 months. I20|0=^je6. Ms. ^V hat ,s the interest of f 147 for 4 years and 2 months? 50 months. What 7.'35 .•35j0===je36.15. A 15 the interest of £289 for 10 £289 \ns. years? 120 months. 3468j0=£,73.8. ^,„. :F' '^ NOVEL SYSIEM What i3 the interest of £l6o for o £165 65 o years and o months . 825 990 107215 li I t i! "£53.12.0. ^/,5 What is the interest of XI 87 for « £187 102 years and 6 months; Having j 1907|4-=£95 .7..i;. A>:s. n.« "/"^ F'^*^." ^"""'ous examples at 6 per cent which are not only simple and accurate in the extreme bu be.ng so easy of division, can be made apSle to a ±tuie for 4| per cent. " ter^fYnm^^.^'""'"'*' '"' ^ P*''" '^•''"^' '"^"^ J«^»ct a .,uar- ter Horn that amount. ' tim?'2f ''''^ *l!^ P""''P"' ^^'h^^« quarters of th.- arTeven '""''' *' '" '' P"" '"^"*- ^^''«" ^''« '"""^''^^ EXAMPLES. What is the interest of £ 30 for 3 months at 4A per cent £30 3 - -1) 9|0= 9«. Od. at 6 per cent. 2.3 S.6 . 9(1 at 41 per cent. .ins. Here we proceed as at 6 percent, and havincr found the amount take ofT x. leaving | of G, wh.ch isJ^l" What is the interest of £145 for 5 months = JE145 4) 72j5=:i;3.12 . Gat 6 18 . U deduct per cent. Je2'i4.4-'- A71S us and o months : Jlns. rsandG months: Av,s. per cent, which lie extreme, but le apphcable to e shall now give I deduct a ijuar- quartcrs of tiir hen the months sat4| per cent. t. it . Ans. d having found •hich is4|, the IS.' per cent. duct. rim. ov aritiimetk;. 7 I • 6 . -i deduct' ,i;i ••■nd the interest of ZV hat IS the interest of L4'>0.Jl 7 r« ,, -•«• 'or it. Z-.4'.>0.n.7 ^^-'J-11.7 for 11 months' II 4) 462;6. 7 . 5 = Xo3 o ,, . „ V ,rl\ f« per cent. ^- io.i^ deduct. What ,s^the.terc3tofX,00 for lomonths.^ 120|0 = z:6 /~I ■ Calculations of Interest at 4i ^^ * ^ ^''■''''^■ ;orially shortened, when hree1u^.rt'.r"'r T> ''^ '"■'- be taken, as the following ^ '^''"^'^ '" ''^^^''^e can .^ EXAMPLES >ViiAr IS the interest of £ inr. . ^ , per cent.' "' ^-i^^-^ for 4 months at 4^ L.180.5 ^ f = 'o I of 4 months. •55 15. 1^ Wh X.2 . 15. at is the interest of £, O;) ■^.225 .8.1 6 = to a of 8 •^ • 8 . 10^ for 8 nio;,r,h .s .- months. 13.3)2 . 13 . 3.^x C* C.l "^ • 3 ^3/jj ^*#«^l 54 NOVEL SYSTEM (•.^"sfsfi'vTr'fr? '"^ the allowance made for uie jjs. JU. give fully 3 pence. What is the interest of 7..228 . 17 . 81 for 1 yr l m„ £.228. 17. 8| ^ J2 = I of 16 months. 274|6. 12.3=i;.i3 . 14 . 7.f Jns. ^^nonihs^^" '"'"■"'' °^ ^-^^^ • 1 ■ 4 for 1 year and r. X,380 .1.4 I^ = I of 20 months. 570[1.0.0 = L.28. 10. IJ ^ns. What isMhe interest of L.lOO for 12 months > i.lOO 9 == I of 12 months. 9010 = LA . 10 Ans. and Proof. Rule for Interest at 4 per cent.— Calculate at 6 per cent, and deduct i from that amount. Or, by taking ^ from the number of months, and rnultiplymg the principal by the remaining months it then becomes 4 per cent, without the trouble of aoini? mto G per cent. ° ^ EXAMPLES. WH.iT is the interest of £55 . 3 for 5 months ? L55 . 3 3) 27 15. 15=L.1 . 7 . 6| at 6 percent. 9 . 2| deduct. S.18. 4A at 4 per cent. Ans What is the interest of L. 126 . 10 for 7 months ^ X.126 . 10 7 Sftl.j . 10 =^ £.4 . 8 . 6^ at 6 per cent, deduct ^ 1.9.6 X.2.19 . 0^ nearly, dns. owance made for i for 1 yr. -1 inu. hs. )r 1 year and !i Ins. nontlis ? 'oof. ilculate at 6 per ■ of months, and ining months, it rouble of going months f rcent. r cent. Am months ? per cent. OF AKITHMETIC ..7. •'•> "hat is the interest of Z, 158 ■^> ni r . , L.m.2.8^ ^I^S.^.a^ lor 11 mouths^ 11 173,9.9"7i^==Z:,8. 13 lU deduct I 2 . l~. ij| ■'^^ • 15. Hi ,^,ts '''.'.o; com /"'""' of i ^i!" ■ » ■ '^ for 3 ™„,„|,s „ ., ■£'.28G .9.2 2= § of 3 months. o7|2.l7:i = £.2.n.3i ^«,. What .s the^nterest of^L.320 . 17 . 6 for 6 months > "^^iofG months. 128|3.I^_2„G.8.4,^ Ans. What is the interest of Z 427 i« oi r n i^.427 18 .94 • l« • 9Kor 9 months ? ^ = i of 9 months. ^-6|7.12.7l=I,.,2.i6.9 ^ns What . s the in^rest of £.583. 0.8 for ,o months^ 10 = § of 15 months. 0>SSi0.c..,^I..!>S.3.0ior-. A,. ■''•580. I9.8f ^ == § of 18 months. >Vhat ,s the m^erest of L 100 for 12 months > ^ = § of 12 months. 80)0 = i,,i ^„,. 59 NOVEI. SYSTEM Rule for Interest at 3 J h per cent —Calculate per cent, and take half the amount wl at. (> •"? per cent, to which amount add ,';. () ing by half the number of months it len it hecomch of going intoG |»er cent. r, by multiply- saves the truubit What id the i £30 EXAMl merest of £30 'LES. for 4 months add - i of 4 is 2 months. \f>P at 8 per cent. 1 -0 »hat IS the interest of X4.3 for G months £4 -10 Wli 6) 13|5= I3s.(jd. at 3 per cent. 2.3 S.I5.9 at .3^ per cent, at IS the interest of £35 for 8 months £8 4 I of 8 is 4 months. 6)3410 at 3 per cent. 5.8 £1.19.8 at 3A What is the interest of £dO for 7 £90 per cent. Ans. months 1)63 |0 at 6 per cent. i)3l . 6 at 3 percent. £1'16 . 9 at 3-1 percent. Jlus. What is the interest of ,£l'i5 for 10 months r £125^ I of 10 months is 5 months. •'3 'n) 6215=. .€3. 2.6 at 3 per cent 10.5 JE3.12.1I A lis. —Calculate at G iVlieu it becomes Or, by iniiltiply- aves tliu trouble OI' ARITHMETIC. What is the interest of £14 £145.10 ^ij.io^for li months ? ■2 of 12 months is C moiUh? ;,) S7|3.0.= £4. 7.31 at 3 o.l.lO Jns. per cenc, v> Jiat IS the interest of JE36.5 fo £365 r U month ? 'i i- of 8 is 1 month ^1«!0 at 3 per cent. 24 . 4 Whit i. id^' \^ ' ^ ""' '^-^ P«'' cent. ^3«,. V\ hat IS the mterest £540 for 9 months > jC.j40 9 i)4H6\0 iO^-ia-O at 3 per cent. 40 .G AVhnf *. '^'" • 6 = -ei4.7.6 at 3i per cent. ^Vhat is the interest „f £650 for 1 1 months ^ ^£650 n *)715|0 ,1)357.6 at 3 per cent. 59.7 Wl.n. ■ .u .^'^-1 = -e'20.17.1 at 31 per cent " "at IS the interest of E 1225 for 8 month.^ r ' £ 1 225 4 ^ of 8 is 4 montlis. o)490|0 at 3 per cent. 81 . 8 L.IO ^ 1 being i of 2 months. s.4|a ^na ^y liat i. the interest of L.45. 10 for 4 months = Z,. 1,5. 10 2 the ^ of 4 months. i>0\nd. Jim. What is tiic in((Mo>t of L 55. 10 for 8 months = Loo . 10 4 the I of 8 months. 22!2t_/..l.o,2,. ,5,jj Whnt is the interest of L 91 . 10 for 10 months ' L.'.M ,10 5 the I of 10 months. 45|7.10-=L2..5,9. dns. ir and ft months ths. per cent. dm. onths at 3^ per I per cent being ccurate. riirec per cent, e at G per cent. ♦-iply the prinri- the trouble of hs .= ths. iiontli.s ': iths, lonth.s .' ths. ) montlia .' hs. 9. OF ARITHMETIC. What is the interest oi £125.10 for 12 months.' <^ the 1 of 12 month,s. \^ hat is the^HjJorest of £130 for 7 months.' 7 >>)91 ) 59 45.6^^2.5 .G. Am. VVhatisthe^«Uerestof£,55.6.8 1br9.„onth»? 9 ■2)139|8^ 69. lot =£3. 9.101. dns. U hat ,s the interest of £225 for 5 months = £22o 5 I i.:|5 =-1.5.12 . G at C per cent ,., . , . -C-^-lC^ at 3 per cent. U hacs the ...terest of /.. 395 for 1 1 months ? L.395 I I h) ■134|5^L21.14.G at 6 per cent. Wl., .1 £-.10.17.3 at 3 per cent. ^^ hat ,s the .n^erest of /..550 for 7 months.' -Lj.OOU 7 |)3«5(0 192. 6 =.£.9. 12. 6. . VV liat i.s the interest of i. 651-10 for Z/.65I . 10 dns. 1 jear 2 months.' 7 the I of 14 month tJS. i il 45G|0.10==/..22.1G 01 or id. ^«». l1t^« 60 NOVEL SYSTEM What .. the interest of f 650 . 5 for 1 y.,r 6 ..onths^ y is I of 18 months. 585 1 2 . 5 .=. £29 . 5 . 2h. Jins. ^Vhat is the iiinrest of f 7^" i c <■ i months? " ■ ^ ^ '^^ ^ ^'^^•" and 8 X728 . 1 . G 10 is A of v20 months. 728 10.15.0. --£36 ^ . ..,^ '^'"'^ '^^loo'"^^'"''*' ""^^^^^ ^°'" '- ^"°nfi's^ 'MS i oflS months. "TTw". .-^ a Proofofihc accuracv <.('0 = i.8. J„s. oia,eRi,le. " PC ^lu ^se^pT'/'i'^ Percent.-Calculatcat ;1 luurar^fi,^::.^^ ^or 3 percent.) to wh.ch add one- EXAMPLES. M-HAT u< the interest of £40 for 8 months at 3.2 per Of. Am, £m 4 the y of 8 months. addi)IG'i0at3percent. 4 £1 -0.0 at3| percent, .-i/js. ^^hat H the interest of £30 for 6 months = £30 3 the ^ of G months. add .1)24 Oat 3 per cent. ■ ■ fi V ■ fi K % '^^ = ^I- 'Oat 3.3 per cent. ylns. W liat IS the uiterest ol £0Q for 10 month« > .€98 5 the i of 10 months. '|<--i.i)49i0at3ner cent, 12.3 61. 3 ==£3. 1.3 at 3;/ POM. at. Ans OF ARITHMETIC. lis for ] yaar and 8 iJonth.s. )ndis.- friftlio accurucv 'she Rule. -Calculate at ^ which add one- ontlis at 3.f per 61 ins . IS.' it- Aru If?: iVhat is the interest of L 206 . 13 . 4 for 9 months ? Z-206 . la. 'I 9 i)18«|0 at G per cent. add ;})93 at 3 per cent. 23 . 3 116 . 3^-.L.5. 16.3 at 3| per cent. ^jn. What is the interest of L.345 . y . j^ for 1 1 months ' r .... ^ J. 11 I..345.9. li i-)380|0.0. 1| at 6 per cent, at 3 per cent. add 1)190 47 .6 237 .6=Z,.li.i7.6 at3| percent. Ms. What is the intere.st of L 405- 10 for 1 year 8 months > />.105.10 10 k)- 405\o-0=L2Q.5. 6 at 3 per cent, o.l. 4^ /v.25.6.10i at 3.f per cent. Ans. of L 560 for 1 yr 11 is I of 22 months. What is the interest of L 560 for 1 yr. and 10 months ' Z,.560 add ^)61610 at 3 per cent. 154 770=^-:L.38.10 Ans. What is the interest of L.lOO for 12 month;? ' L 100 ^' is I of 12 months. add i)60[0 at 3 percent. 16 ii'' c> nX. Ans 7j=L.3.1.5, Proof. m Mm 1 1 ikmii m ■«i( %>■ NOVEL SYSTEM ()r, multiply the interest for I month at 5 per cent !'v J of the months -.vhen found convenient ^ EXAMPLES WHAr.s the interest of /. 36 for ^2 months at 3j pe. L.^G for i month at o per cent. =3s. 2 deduct l)6s. at 5 per cent 2 "^ns. 4s. at 3^ percent. Wl.nt IS the interest of L.m for 5 months = ICs. 6d. 5 U.S. :i)4. 8 at .■} per cent. 1-9.4 1^'2-18'ii at 3| per cent, .^iis "iVhat I., the interest of L J50 for 9 months r I2s. fid. for I month at 5 per cent ^ the I of 9 months. i^.3.1o.o ^ns. What i.s iho interest of L.245 . 5 for LA .0 /i.,8 12 months ^ ■H for 1 month at 5 per cent _8 the§ of 12 months. • (' -ins. n %i he rate m gene- ate at 5 per cent, ymaindcr will be til at 5 per cent nient. tionths at 3^ per It 5 per cent »t 3^ per cent )nt!)s ■ nt .ins. tils > Ang hs r 5 per cent iths. months ? 5 percent, nths. OF AlilTHMF'.TIC. «) What is the iiUerest of 1,365 . 15 for 1 yr. 3 nioiitlis ' L.\ . \Q . 5| for I month at 5 per cent. 10 the 5 of 15 months. L.\o.\.'dh ^Ms. Wiiat IS the interest of L 100 for 12 months :' 8s. 4d. for 1 nnonth at 5 pei cent. 8 the I of 12 months. L .1 . f; . 8 Proof. Role fur Interest at 2| per cent. — Calculfttc at 5 per cent, and take half thlit amount. Or, multiply the interest for 1 month at 5 per cont by ^ the n>ontli.s, when found convenient. EXAMPLES Wiur is the interest of L.36 for 3 months .- 3«. 3_ take i)9.'?. at 5 per cent. 4s. ed. at 2| per cent. Ant. What i.s the interest of L.43 for 4 months ? 4s. for 1 month at 5 per cent. 2_ the ^ of 4 months. 8s. at 2^ per cent. Ans. What is the interest of L. 120 for 7 months ' 10». '5' or, 10s for 1 month. . , s , ^ "^i is i of 7 month.s. take I) L.3 . 10 at 5 per cent. L.1.15 Ans. L.\ . 15 at 2 1 per cent. What is the interest of Z, 145 . 10 for 8 months '■! 12s. l^d. f )r 1 month at 5 per cent. 4 the ^ of 8 months. L.=i .8.6 What is the into '^pe r cent. A ms. rr' , L.240 for I L. I for 1 5 months. month at 5 per cent. 7^ the I of 15 month J^T .10 Ana. Ml: , ■■,, 11 ■ i 'ffe', 'if' ** NOVEL .SVSTEM ■»--.". 10^ for 1 month ntO per cent. 3 the^ ofKJ months. ^•'*^'^-'0 "t 24 por cent. Ins. What 13 theinteresl n fji-^ > a r,.r 1 months > . - . 6 for 1 yoar and 10 ■^.I . 10 . 3J for 1 montli at > por cent ^16. 17.5f ^ns.' What is thc^ter..tof/:.9.8.,on.r2year«, month: Jjj tl'M of 25 months. What. theujtorc.tot^/, 000.10 f.,r2y,s.4mo„,hs> -^■4 . .i 4j for 1 month at 5 per con' J^'58 .7,3 Jnv. What IS the interest of L 100 for 12 months > 8s. 4d tori month at 5 per cent. ^ t'le^ of 12 months. i- 2.10.0 Proof. Rule for interest at ner rf^nf r^\ i • cent. ; :,J takn v ^u;„] ,' ,. k^V^""^'*''^"^^'^ at r, pe. Or ,„u- I ■'^"":' ^'" be thrnnswer. EXitPJPLES. WH..T is the interest of /...50 for 3 months at. per ecu ^ I the ^ ofa months. What is the interes f L... for 4 months } Lb J 4 takt.^)22!0 at 6 per cent. «-7 . 4 at 2 per cent. ^,54. OF ARITHMETIC. n. and 4 months:' nt y per cent, lonths, lit. ins. I" I your and 10 t •> per cent. ! years I month : itlis. _yis. 4 months.' 5 per cen'. anths ? 5 per cent. lulate at *; per sr. months, winch at 6 per cent. «A at ::^ per cot I : i. Wiiat is the intorc.=;t ot'L 70. 10 for 5 months => L.h) . JO 5 3) 3o\'2 . 10 = L.I . i',. 3 at 6 per rent. ,,,,.,. n 9 at 2 per cent. .4M^ \'h{it IS the interest of L80 . 1.5 fur 6 months ■ L.nu 15 '2 t:i> I of G months. .... 16 1 1 10=.. I6s. \^d or: ^rt5. >\hut IS the interest of L.I 6 J . 12. G lur 8 months - L I GO 12 6 8 i) 123 \o 0.0 = Z..6 . 8 . G at 6 per cent. „„ . ^ . ^ns L2 2. 10 at 2 per cent. \\i\at la the interest of L 217 . 10 for 9 month-^ = L217 . 10 3 the )j of 9 months 74 12. 1(1=./. 3. M.,3 VJ,is. Wjiat , the interest of L.345 1 . 6 fur 10 month* - L^ "> . 1 . 6 10 h) 345|0. 15.0^/.. 17.5.01 at 6 per cent. ^.5- 15. 0.1 Jlns. nhat IS the interest of L 35(j . 7 for I year 3 months - 7^.350 .7 5 the J of 15 months, 178j 1 15= La 18 . 2 ^ns. What is the interest of L i2o for 1 vear and 9 months = X,.425 7 the ^ of 2i momh? What 297 [O-z^L i 4. 17 .6 Jris is the interest of L 480 . 3 4 for 2 vears aud month= .' i.480 .3.4 9 the h; of 27 months. ■Ill -■4n a, ■■" iisil 432 il , 10.0 = £,21 . r,» ins. /[ «6 NOVEL SYSTEM I.- What is the interest of L.655 .12.6 for 2 years at t per cent .> L655 .12.6 ^ the i of 24 month.s. . ^ 524|5.0.0==Z.26,4,«. ^n,. Whut 19 the mterest of L.lOO for 12 months > £.100 4 the ^ of 12 months. 40|0 = Z:,,2 Pr«o/. Rule for interest at 1^ per cent.— Calculate at i, per cent., and take j^, which will be the answer. Or, multiply the principal by ^ of the montha I'wlu r found convenient) which gives the answer without y.j- ing into 6 per cent EXAMPLES. What is the interest of L.30 for 4 months ' L.30 I the i of 4 months. a.3|0 Am. What is the interest of L.50 for 5 months - L50 If i i i take 4)25 10 at 6 per cent. 8.6 . 3 ^ns. What h the interest of X..70 for 7 months - L,70 7 take 4)49 10 at 6 per cent. s.12,3 at 1^ per cent. *3jw. Wh;it is the interest of L.T5 . 10 for li inoutlis .' L.lo . 10 2 the 4 of 8 months. s.lo . 1 j Aus. W luit is the interest of £.125 .6.3 for !.) months ? X.125. G. 8 •i) 112|8.0 .0=^/v.5. 12 . 9 it 6 per cent. L.l .8.2" at 1^ per cent, d /j.^. for 2 years at t onths. Jim )nths » Calculalo at i, unswer- months (wlun •er without tru- is ■ s ' B r lOlltilS .' ) months r cent, cent, Ana OF AUITHMETIC. $r What is the interest of £165. I3'4 for 12 months ■ £165.13.4 3 the I of I'i: month. 19|7.0.0^ jei.9.8;. Jns. What i.-j the interest of £245. 10 for 1 yr. 8 months r £245.10 5 the \ of 20 months. 1221?. 10 = £6.2. 9 Ans. What is the interest of £,365 for 2 years r £365 6 the ^ of 21 months. 219|3 = £10.19. Jim. What is the interest of £475 for 2 years 4 months ' £475 7 the A of 28 months. 332 |5= £16.12.6. Ans What is the interest of £575 for 3 years ? £575 9 the \ of 36 months. 617 |5 = £25. 17.6. Ans. What is the interest of £840- 10 for 3 years 4 months ' £840.10 10 the 4 of 40 months. 84015 . 6 = £42.0.6. Ans. What is the interest of £951 for 3 years 8 months ' £951 II the ^ of 44 months. 1046 1 1 ==£52.6.1'. Ans. What is the interest of £100 for 12 n^.onths f £100 3 the 4 of 12 months. 30)0 :.= £ 1.10. Proof. Rule for Interest at 1 1 per cent.— Cnlculato at 5 per cent, and take ^, or multiply the interest for one month at 5 per cent, by .4 of the months 1. l.( ^m iMl K^ U»'/ 1^ «s movf;l svsiem WiiAi is the iiitnosf of £18 ior 4 montlis: ■15 i or ! moii!ii at .; per cent, 1 the ^ ot 1 Miunlus. ■Is. .ins. M'liut is tiie iatcrcst of if) ; i\.v .\ month:; .- o \)2 .0.0 a' -)':., er cent. i Oil .9 Its W'sal iM!).^ interest nf £;);!. 1/;; j;,;. 12 monfh^i^ Bs ;5.|iy. ftir I !3)(;ii!!i at '5 per ceiit- 3 t:i(! ; oi ; ^ ijjoiiUiri £1 .4.1 ii .'Inn. ^Vlli^t is the interest i,\ Cl !;•.!() ■-: ' ! montli.s- II " take ofT ])G. 1 i 51 ;u 5 per cent \Vhat isthc interest of £ty&- 15 for 1 year 1 inonilis- IGs 7.^./ for 1 m MMtli nt oper ocnf, •4 iiu; { of If; uioutlis. £3.6 7 ^}n^. What i.s the iniere--t of .£<'2-V) (or I year a inon'lt^.- .tl f'>r 1 month at .0 per cent. 5 the ;■ oi"ii» njonths, f5 .'In.? Wiiat is the interest nC t ;6o .2.6 for !2 y^'irs am months? £l-10 . a- i.jr i lO'jnth ,tl 5 per cent. 8 the A of 3 J months. £12 . 3-5 ,/7hs ^Vhat is the inteifi.iit of i^-l^O l.j for ,i yoars.' £2.0, ('^ for 1 i.iMfilh at 5 per oerit 9 is I o .'?»; roafhs. 18 . O.fiJ Jins »♦*;. IS.' int. :n)nfll:5' H-r cent. months If 1 llliin'iis: oev con*. 8 laon'ljs: '2 yi^'WH Jim :r cent cars.' cent OF ARITHMETIC. ti<) Whiif 15 the interest of £100 for 12 montlisr Hs. 4d. for 1 niontlJ "1 tlic .^ of 12 months. Mui.E for Ifitcroot, Discount, or Coinmi.^sioii at ^ per cent. — Cut oll'thc unit's figure of the £. consider those lot cut o*yasshilliii<;3, and tiie unit's figure cut off coti- .s.der a.s pence nnd as many (ii'th.-j, for 4 or o in tiie shiliin,!rs add \d for 8 or 10 add ?;ri. fur 1'.^ or 14 add jd and for I6s. iitl. and upwards add Id. which will ;vve tie aiiswer required. IJE.^lO.NSTR.rnoX Half i)cr cent, being tlie 200th jsart of the whole anioun: , the said amount is divided by :20;\ v/hich i.-! more fully explained in the Dcinonstration for Intcreot for G per cent, for Months. See Po.' c VI. EXAMPLES. \V:i.\T is the commission on £120 at i per cent..? £12 =-12 s. Ans . Here a? by the Rule the unit's figure is cut off, which is a cipher, and is to be considered as pence, and tlio 1 2 not. cut olfis directed to be considered as sui;li;ig<, witicli gives l'2s. What is the discount on i:32I at | per cent r £3211 -- XI..I2 . 1',. Jlns. Here the figure cut off is i;dl. the 32 not. cut olT are 32 shillings ^Vhat is the interest of £425 at J. per cent .' £12l->-= jt2. 2 . G. Ms. The .3 cut off is .5,;. equal to Ikl. This is of cour,.^ns 70 NOVEL SYSTEM iUc' fl i^ ■ 1 ' i '"m What is tho discount of £1552 at | per cent =■ £\-j5\'2=.:-£7.i5 _ 21 or 2^(1. Ann. Find the commission on iilGM at | por cent. .- X7(Mi7 .= £33 . 1 . sr;. or ^(/. ^i;i,s. The T^J. are -::^ to 3% as iivc-fifihs arc h/. sevca- pt'iice seven-lil'tlis are equal to 8 ;t/. What IS tii'j disoiwit oa £3769. It! . a at i per cent. : iiaTOjg. IG . [] -- ,C43. IG. I ! |. or Id. ..'Ins. \Vi»ut is t!i(; hiokera^^e on jl^IO-jGo . \ ut h pt:r i:eiit. • xlorycU] . I }2-l(i . 91. .'11.3. Coni:iiid.sion, Dis/.uunl, ijiokciage, at h, \, or ^ pi r cent, will be I'uund particularly useful to' hankers am! niercuants, as they are allou-ances made by liie one tu the other lor keeping ilie accounts, ^r,. If it be found necessary to find the Commission, &c. at ^ per cent, take the half of i per cent, and if J per .:ent. is wanted, take the j of half pee cent. Thus; Find the Commission on £4270- 10 at \ per cent. X-VJ7|0.|0-^)JJ21 . 7 . 0.'- at l percent. £10- jy . G^ at ^ per cent. Ann. Find the discount on ^^3485. 18 .2 at ^ per cent. £8-18|.3. 13 . 2 =^i^)U2 . 8 . 7 at i per cent. I - JEI0.12 . If at J per cent. Ans. Should interest be required ut 1 percent. Doi.bjj Jr per cent, or take the ^Ih of 6 per cent. As calrulalions of Interest fiv daijs are indhpfmiahh- ncceisanj to bankers, mcrchanls. Iruders, }fc. and the or- divary plan heretofore vilrodund being tedious and diffi- cult for making suck calculatiotis, we beg leave to intro- duce Ihefollou'ing short and easij method, ?t'/iic/i has givtn the greatest possible satisfaction to all persons who have tludicd it. %i r cent, f I. .Inn . r cent, r JlllH . are ! minus !(/. ylns. 5s. lid. What is the interest of £50 for 50 days ? £50 50 100 over, for which allow Id. 1 100)25 100 sy-4 minus \^d- Ans. Ss. 2id. What iri the ir,tf>rcst of £^0 f<>r «0 days ' £60 60 ■i 100)36 |00 a.\2 • n ininu.« 2d ins. I Is lOd ut C per cent r 3.V. Ihercfoio divi- allow 4d. tor 3 the follo'.virii.' y cancelling 2 jures at each Je, it reduces e operation to mply dividing I' ri. ^ nearly €>s d. ;h allow \d. i. OF AKITIIMKTIC. What is tlio interest of L.Q5 for 70 days ? .£,,65 70 73 oO over, for which allow 2d. 3|00)15|50 S.15. : miBus2|t/. Ans. \As. {\\d. What is the interest of Z, 8-5 for 80 days ? L.'Ho 80 3100)08100 s.22.8 minus 3;|(/. Jins. L\.'2.\\d. What is the interest of .£95 for 50 days ? J!..95 50 250 over at Ad. per 100 comes to 10 pence. 3100)47150 s. 15.10 minus 2|cZ. Am. 15s. 7|d. What is the interest of L.125 for 95 days > L.125 ^ 95 > '''■5 over, being J I of a 100, allow 7 pence. 625 1125 3100)118 175 S.39 . 7 minus G^d. Ans. .£1 . 1'j.O^ What is the interest of £155 for 1 10 days > L.155 ^ 110 3|00)170|.50 250 over, at 4d. a 100, comes to 10 pence. 56-10 minus 9^rf. .Ans. 2.16.0J What is the interest of £3405 for 5 days ' JC3405 5 225being2iof 100, allow 9(i. 1 100)1 70 |2; lOd 56 . 9 m inuH 9|rf, Jinn. 2.15.1] A. X ¥i t.-. • * in ^,' :i| Wliat is the interest £975 130 ^OVLL SVSTEM of je975 for 130 days 150 over, allow 6d. 3|00)1'267'50 4'2'>. 6 minus 5« lOd. .Jna. L.20.1C H'hat is the intertst of £1^245. 10 for 20 days ? £124/). 10 20 Ki over, allow Id for. 3;00)2ir)|10 83 Oiiniinusls Ifrf. ^ns. 1,4. 1 • 10? What is th terest £1680-10 30 of £lG*-).jO for 30 days 15 over, allow ^d. 3 100)5041 15 168. 0| minus 2s S^d. £ns. £8-5.9 What ia the interest of Z, 100for365daysat 6 per cent ■ 365 100 200 over, allow Bd. 3 100)365 100 121. 8 minus Is. 8d. Proof £6. It appears that for Is. 8d. nothing has been allowed, which could be only J. but tor all transp.ctions in busi- ness the above Rule has been considered sufficiently accurate. Any person desirous of bringing out the exact frac- tion (which no person in business would deem worth the trouble) by taking a ,", off, instead of,',, which js a nennv for RVRTV aix shiDinrra \vi\\ tirtA if „.,!_,,!_*... 1 to a mathematical nicety. To calculate Interest at 5 per cont, for days. Fititl the interest at 6 per cent, agreeably to the Rule for per cent, and deduct ,'.th of that amount. ays ■ How Gd. ins. £,.20. iG.! 3 days ? f kd for. ins. X4.!10,f ) days ? V id. £8.5.9 sat 6 per cent - ow 8d . 'roof £6 . been allowed, ctions in busi- ed sufficiently the exact frac- d deem wortli jf 7,, which is it calculated ir days. — Find the Rule for */ OF ARITHMETIC. 7S EXAMPLES: What is the interest of I. 45 for 40 days at .0 per cent. - LA5 40 3100)18|00 a. 6 minus Id. l)5s. lid. at 6 per cent. 1 1^ deduct. Jlns. s 4. Hi at 5 per ct 111- What is the interest of £30 for 30 days .' £30 30 3)00)9100 3 minus ^d. i)2s. lU^d. at G per cent. G nearlv. v^'Js. $'^2.5^ at 5 per cent. What is the interest of LSO for 60 days '" jteo 60 3 i00)36 100 a. 12 minus 2d. at 6 per cent 1 It. lOd. deduct^ si . llf s 9 . 104 vVhat is the interest of £90 for 95 days » 95 •' 90 .Am 3100)85150 iJS .6 minus 4|(<. at 6 per cent. £1.8.1^ deduct g at 5 per cent- £l ..3.5 Jin$. The foregoing few examples may be siifficif nt to shew how 5 percent may be done, by takins ah from <> per cent, and by taking ,Uh fror« the Interest, which have been calculated at 6 per cent, gives the respec- tive answers at 5 per cent. i i '■ m '^M 1(4 '^ NOVKL SYSTEM m noiv mh'oduce cakulaliom for fnh'f(f«t for days at 5 per cent, independent of finding at 6 per cent. RuLF..— Multiply the principal by ^ of the days, oi the days by l of the principal, cut ofTthc unit figure of the £ from that product, consider those not cut otY as ['once, deduct 1(Z. for each Gs. contained therein, the remainder will be the answer. DEMON STRATI ox. In the Demonstration of Interest for Months, at 'j percent, page 30, it was clo«rly proved thtt the inte- rest of each £ for a montii is one penny, and on that fact is founded this method for Days. jyole, If the principal and days arc multiplied to- gether, and the product divided by the number of davs m a month, the ((uotient will doubtless be pence: Inil as the avciage month (by dividing 3G5 by 12 months, will be found to contain .30 ,; days, (an awkward divi- sion) we procQcd as if there were but 30 days in the Hionth— consequently, only 3G0 in the year; and as dividing any sum by 3G0, instead of 365, would give a greater quotient, the difference mu,st be deducted; so tiiat the quotient will be the same as if it really had been divided by 365, which will be done ctlectuallv bv taking such part ofi'as the .5 remaining days are of a year, viz. a 73rd.; but Id. for each 6s., or a" 72nd., will be found near enough for use. Now by the following examples the above dividing IS materially abridged; for hy multiplijino- by \ of tlu doijs it is only necessary to divide by'i of 30, which is done by cutting off the unit figure of the jCs. of the product, which, as before laid down, is dividin^T by 10; and by that means a very tires(;me operation is entirely dispensed with, and th-" i-.terest of any sun:, ui any rate of interest, discoTcred by persons totally unacquainted with th(! rudiments of Arithmetic; and who perhaps, from their habitt- and constitution, &.c. are unqualified for ever acquiring that useful hnowledgc by the ordi- nary method. Wii.' Wh 16 5 iiTOrr: *t for days al cent. ' the days, oi unit fijjurc of not cut olY US d therein, tlie Months, at o thtt the intc- , and on thnt niuhiplicd (o- mhcr of days e pence : bu( Y 12 months I wiiward divi- > days in the ear: and ji.'; would give ;< deducted; so it really had tiectually by ays are of a a" 72nd., \yill ove diyidinf;- by i of the 30. which is e £s. of the 'idinghy 10; n is entirely ;, at any rate nacqnainted 'ho perhaps, unqualified by the ordi- Ol" ARITHMF/i;:. EXAMPLES. What i-: the interest of £iO for G days ? L.'HO 2 is .»} of 6. 77 4 10 == 4d. Jlns. Here the \ of G is 2, 20 multiplied by 2 produces 10, the unit figure cut off leaves 1, which is Ad., and as only [d. tor G,-;. is to be deducted, id. being so tri- fling a part of Os. we do not take any thing off. What is the interest of L.40 for 9 days ? LAO 3 is ^ of 9 days. d. 1210 .9/js. Is. Wliat is tiic interest of L.lofor IG days ? 16 Hero I of 15 being easier taken thau J^ of IG. it _5 is better to multiply IG by .0. a 10 '6d. Jlns. What is the interest of L 25 for 24 days i..2.5 ^ 8 = i of 24 days. rf.2OI0 =:= \s. M. minus {d. Jlns. Is. 7|, interest of L.GO for ;o G r=\ of 18 days .' What is the interest of L.GO for 18 days > /-■ GO (Z.3610 == 3s. minus |^ins. 1 of 10, allow ' 10 allow hd. s 1 . l','s 4d. ns. M.9, ii\d. !i, and tlic 8 (ia, the frac- :o is rejected. jEl-lO.lOf. one and the in business, '2.9, Jlns. oi' AHiTiiMrrnc. 79 ILniu^ givtn sulJicicHt examples, m skull intwdutt a iiucsdon to prove ihc aecurucij of tlii rule. What id (he interest of f2 10 for 73 days ? L 2 10 for 1 year at o per eent. is L. 12.0.0 73 days are !, uf a v«ar •0 Aui. As the interest of /.,'24Q (^^ , year is 2 i(5» nh isL 1'2 and 73 days heing the i of a year, the intcre.i lor 7.3 days must he die j of Z,. li which is L.'2. ii JE73 80 is I of .£2 10. 58410 -^.= 53k/, ==. X'2.8.8 minus O-O.a * > O /I Proof. Rule for interest for days at 4| per cent.— Calcu- late at fo per cent, and take ^ from the amow:.t. the same as the Rule given lor mouthg at U per ceut ^XAMPl.ES. What is the interest of £ 1,5 for 40 days £,.45 ^ 40 3|00)ltJ|00 6 minus Id. ^ ^)s.5. lid. at C per cent. 1 ■ o^ deduct. Jlas. «'l • 5.1 at 4i per cent. What is the interest of £.90 for 90 davs ? jE90 ^ ■■ 90 3|00)8!JOU 27 minus 4|(/. i) at 4i per cent. ». 19.1l| ^q,^s, Eitherofthe above calculations may be shorten by takuig 1 either from the amonnt or the days Ii the to QWinor- .' ' ed ke r«4 f^§ m m till t>. % IMAGE EVALUATION TEST TARGET (MT-3) A {./ A m 1.0 I.I 1.25 ■ 50 '""~=^ 2.5 2.0 1.8 U 111.6 V] <^ /] y/^ ••» §>. 7 Hiotographic Sciences Corporation 23 WEST MAIN STREET WEBSTER, N.Y. 14580 (716) 872-4503 S: '^ \ :\ \ Q ^Y (li- l per cent, luct. 1 per cent. :ent. i«(l, by either r ot'days, like OF ARnilMETIC. EXAM PL H. What is the interest of £ 90 for 90 days ! L.dO d«dnct Ir of90, leaves GO. 60 days. 3|0O).54:0O 81 If. ; ■ ».18 minus 3(/. dns. lis. Od. at 4 percent By taking the i^ from the answers of any of tlie cal- culations at 6 per cent, for days, you have the amount at 4 per cent. Hulk for interest at three per cent, for days — '-'a!- cuiatc at <; per cent, and take half. Or, Multiply the principal by half the days, or the day.s by half the principal, and proceed as in C percent. \^'jiAT is the Interest of L.80 for 80 davs? L.[]ci 40 days, the h of 80. Sj 00)32 100 ».10 . 8 minus l.^(/ .-Ins. lOs, i'<\!l. What is the interest of L S)5 for 90 daysr 45 == J 90 days. 3 100) 42 1 7. J S.14 . 3 minu32iri: Jlns. 14.?. 0|(i, What is the interest of £129 for 81 days, at 3 per cent.' L 129 124i over, at 4d. the 100, allow .3^/. 401 days. 3100).32124l 3.17,5 minusSt/, ^ns. 173. 2i/. TJni.F, fur intorost at 3i per cent, for dny.s — ?»Iii!- tiply the principal by the days, for each 100 they pm- ducc allow two-pence, \Thicli gives the interest at 3 per cent, to which add ,';tii, and you have the interest at 3^ per cent, observing to deduct Id, for each C?. as the other Rules, '*! .1 Si 82 w 11 AT i NOVEL SYSTEftI EXAMPLES. s the interest of L 30 for 20 days £30 _2C days. t>uOaticiperlOO=.i, Oci at 3 per cent, addi 2 .''4 EXAMPLES ' t 'ieo" '"'"'''' "^'^^'^ foreodays, at 3^ per cent r •^l o;oo)3bMjo f:. add ,;)G». at 3 per cent ■^ Is. i ^-. 7. nnnu. I^^. interest C. 10^ at3J percent. £90 '"^^'■'''' °*'^-^° ^'^'" «0 *^ays? 80 days. «|00)72]00 add,!) 12s. at 3 per cent. I ' 'f- •»'""« 2H. interest 1.3,. Old. at 3|p«- cent, i^^thynterest of £ Ii5 for 70 days.' 70 days. G00)87|.^ 350overat2c^perl00 = 7d. addi)]4.7 2 .'J .«««• J7s minus 3rf. interest 16,. 9d. at S^ percent " hat ..s the interest of £ SG,5 for 170 days' ^_ L?^^ '^•lys. 2.50 oyer = 5d ■ i«ld ,';) 1 03~ "5 J7 . 3 nearly. •'?«». s. 120 . 8 minus is, 8d. interest £5.19 at 3*. OF ARITHMETIC. t 3 per cent. ^^ per cent. Itiplication by at3| per cent - ■ H per .cent. ^t3| pe>r cent. = 7d. It SJ percent 5d. . 9 at 3*. What 13 tlie interest of L I 88 cent. 00 for 565 days, at 3J pei 365 d ays lOOZ,. 6 )00)365l00 addlTeO-lO •-■JOO at3(i. psr 1C0= iCrf. 10 1? S.70. 1 1| minus 1 l|f/. interest £3-10 at Sf Proof Rule lor interest for days, at 2^ per CF;it — ""•»! culaip at .5 pf-rcent. (see Rule) and take half, whjcli wilJ lie the answer. EXAMPLES. What is the int«»rest of /..60 for 60 days, ats;, -ler cent 20 is J of CO days. rf.l20jO= i)\Os. at 5 per cent, minus 2d. B.s. niinuj Id. /■•;;. ^j. ] j^/, Vv'lsat is the interest of,£;i.5 for .33 dayr, &{ i-J percent. ? ^^ I i ifl = i of 33 104|5=i)n.9. 8^d 4 . 4 J miou:^ a,/, ./^^s. 4^ ^^d. What is the interest of ^£183 ibr 150 daye^ £185 50 is ^ of 150. 925|() £3.17 ". I 1 . 1 minus ^ )3' 16 at 5 per cent . ;€1- 18 . Oat 2J per cent. It is immaterial whether the ptnny for every 6». ia taken off when at 5 per cent or at 2| per cent. What is the interest of .6360 fcrSiO days' ,£360 80 is 1^ of 240. (^J880|0^A) £12 .0 .0 6 , 0~ minus 1 . 8 £5.18.4. Ans. ■M 'B M fli NOVEF. SYSTEM I i i>- i What is the interest of £395 for ST chivH- I2i!, is^^ of 37 days. 1740 131§ davs? 'i-10. Proof. lys, the interest olloumg nit. — I\IuIti[)Iv iviclcd by 7300 ?65 gives shil- givos pence. ay<5 for whicli roduct divided will give the hat method is e an improve- By dividing 'O, it will pro- 365, will pro- (nearly) the ing if the 30 out leaving a bv which you of 30,^,, the SS nveragp days .,f a month: siiould it not go exactly, bu leave -y or G, they will compensate, and nothin El.J2.0i DF ARITHMETIC. What is the interest of X.395 for 240 davsi L 393 ^ 80 is i of 240, 3 100)3 1 Gi 00 W s.10.5 . 4 minus Ij. 5^(1. Jns, £5-3. lOj^. What is the interest of JElUO for 365 doys> 365 days. 100 3! 00)365100 121 . 8 L. 1 . 8 minus=- ^)6 . . at 6 per cent. Z..2 , . Proof. Should Interest at 1| percent, for days b« required', by taking the quarter of 6 percent, you havethc answer: or if the Interest for days, at 1 per cent, by taking the Ij of 6 per cent, you have the answer: or if It be found necessary to find the Interest for days at i per cent, by taking ,', of the amount of the Interest for days at G per cent, you have the answer. As it is necessary in Calculating Interest for days, to know the number of days the sum has been at Inter- est, the following table will he found useful j which shews the number of days, from any day in one month, to the corresponding day in another month, throusih the year, ^ To C3 a 3 3 F '334 3 a. !/2 > o 31 1 59 3G5; 28 MI306 337 36.- A !'275 306 334 M 245276304 90 li20| 151:181 1^212 243 59i 89 120 i50 18ll2!2 J J A S o N D 214 245 184,215 153: 184 122 153 92! 123 Clj 92 31 i 62 27.t3 243 31 61 365 30 335 365 o 2-3 304 242 273 92 122 153 184214245 61: 91 122:153 I832I4 31 j 611 92*123 153 184 , , - - 122153 274 304,335 365; 31 1 62 92 123 304 334i365| 30! 61 1 92 2 l'2j243 273;304 .334 3651 31 6! 18 1 [2 12 242:273 303 334 305 30 1 5 1 i 1 82 2 1 2 '243 273 304 335 365 I20i 1 5 r 1 3 1 12 1 2 242 273 304 334 92 61 31 365 u I B I 334, 303 275 244 214 183 153 122 91 61 30 90! 12 1 151 1| 82 2 12,243| 274'304!335'365 To find the number of days by the above table. Find ''111 fi ■I If «■■' '''•'^"' t''*-^ !"«' of April to ilic St oi March. ' ti.1-!? '■'« ""'"l^erof days from the .3th of January to the oth of July. See opposite January and under July the figures are 181 uhicharetheday.s from the .5th of January to tho oth o( July. •' i(;.^'"rTt"' """'bc'' of days from the 7th of May to the 15th of December. You find the figures in (he column opposile May and under December are 214, which give, the number ol days from tho 7th of May to the 7th of December but as it IS required to know till the lath of Decem- ber you add the diff-erence ii days, making it ■222 days the answer. "^ ' Find the number of days from the 5th of \ovcmber to the 3rd. of May. Here from the 5th of November to the 5th of JNFav IS found to be (by the table) lai days, but as it is only required to find to the 3rd. of May, 2 days mu.=t be deducted, leaving 179 days, tho answer. How many days from the 4th of June to the 1st oi' December .' By the table it appears to be 183 days from the fth of June to the 4th of December, but the t being only to the 1st of December, 1 Jlns. 180day,s line rcquiref caves 3 days less. OF ARnHMKTIC. if iiionllis, and at tlin top, and nth ill the lel't- II the column s from the day y of the inonili in a Leap-year lore to flic num- rl to the 1st of I you find 331, 1st of April to of January to lie figures are >f January to ofMay to the 91)positc JVfay Bs the iiuiuljcr of December, ilh of Dcccin- ; it 222 days, of November e 5th of May s, but as it is , 2 days must ;r. to the 1st of from the Jth ime required 5 3 days less. Find the numboi of days from the 1 Ith of April to tht nth of Deceinh ler. From the I Ith of April to the Mth ofDeccmbe , — „. „ v.»,^...,_,v-r is fbund to be 2 It days, which being G days less than the time required, you add the difFerence, which is G days making the tot;;! 2.30 days, the answer. ' What is the interest of .£G.j for 3 years, 4 months and 20 days, at G per cent. ? ' £^'>^ yrs. mo. 10 mo. = to 3 • 4 £65 20 days. 2G010 ^. £13.0 . 4 .34 3 100)13100 4 • 4 minus id. £13.4.3.^ Jns. M' hat is the interest of £85 for 4 years, 2 months, and 24 days, at 4 per cent..' 50 24 £ s. d, 42510 = 21.5.0 3|00)20|40 -^— — — — g Ql j deduct i)21.n. 8i ate per cent. * fd minus. ^for4pc. 7. 3.11 at 2 per ct. being i 0(6 per cent. £14. 7. 9i^ at 4 percent. What is the interest of £90.7-6 for 6 yoar-: and 24 days at 5 per cent. > yrs. mo. s. d. £ s. d. 6 . 8 as 6.8 is J) 90.7. G ^ months interest forGyrs. Bmc 30-2. 6 interest for 24 dfiys S- 1 1.1 90.7.6 8 s. X30.8. 5i 7213.0.0 = g'. 0^ minus Id. It will be .een that the three preceding sums at 6 4 'aid down ''*'"^' ^''*'" '^''"'' ^y the Rules alre^d^ ,Jj iT^ «'«/«««clnecm«rj, in the purchasing of pro omtyto kaoxc at what rate per cent. .Ley may bi lau ml, xt ean be easily discovered by thsfoUowLg sith laid '■'4i ■it ! 90 NOVEL SYSTEM I! t 1 h a l.< • 1 * ■ )i -"If it, /..S/^''^ 7~P'^ '*'° number of years' purchaao into *.100 and the result will be the per centago at which yourmoncy is laid out. EXAMPLES. If 13 years* purchase is given for an estate, tl le ren- tal of which is £100 per annum, what per cent, do i get for my money ? 13)jC100 £7«J3.10,* ^ns. which is nearly 7;| per cerif. If 15 years' purchase is given for £150 per annum at what rate per cent is the money laid out ? 15).€100 •/?na. £6§ per cent, and the purchase money is X2250. If 16 years' purchase money is given for £\<25 per annum, ut what rate per cent, was the purchase ? 16)jE100 ^ns. £G\ per cent, and the purchase money is £'2000. If 21 years' puichase money is given fer £ 190 per annum, what per cent . has the purchaser for his money r '^i)eioo ^/»5. £4. 15.2 « per cent, and the purchase money i» L 3990. Ff 28 years' purchase money is given for an estato of £100 per annum, what per cent, has the purchaser for his money > 28)t;i00 ^^ns. £3.11.5^ per cent, and the purchase money js £2800. To prove the accuracy of the above, intiltiply the par centagc by the number of years' purchase, which gives the annual rent. In order to find out how money should be laid out in « purchase, so aa to ascertain any given rale per cent. OF AKITIIMETIC. ' purchado into tago at which estate, the rcri- per cent, do I y 7;} per cenf. 50 per annum, lit ? oney is £2250. for £125 per urchnse ? 3ney is £2000. for £ 190 per for his inonev.- lase monejr is I for an estate the purchaser asc money i$ niultiply the chase, which laid out in a '■r cent. n Uui-R. — Divide th( annual rental Uy the per cent.ii,' the quotient will l,e the number of years' purchase which number of years' purchase multiplied bv 10 » aivea the whole purchase money. EXAMPLES. Ik tlio annual rental of an estate be L. 100 what mu.st I give for It, that I may lay out my money at 4 per cent ^ 4)£100 25 'I'o number of years' purcha-so 100 the annual rent. •C2500 the purchase money. If the annual rental of an estate bo £',() ,,cr annum what number of years' purcbasc must be given la or- der to lay out the money at 3 per cent ' 3) €50 Iti^ the number of years' purchase. £1000- 13-4 the purchase mono v. Suppose the annual rent to be £G0 what number ot years purchase must be given, so that the n.onev mav be laid out at 2 per cent. .' 2)60 e 30 ye.irs' purchase. 100 i'3000 to be paid for the estate. If I purchase an estate, the annual rent of which is XI oO how many years' purchase should be given that my money be laid out at sj per cent > 3^ I50je <2 o 7) 300 42^ years' purchase. 100 £4285 ^ to be paid for the est ate. 92 ■M y '» % m NOVEL SYS I F.M If the annual rent of an estate be i^500, how many years' purchase sliould be given far it, that 21 per «cnt. may be gained by the money laid (.iit' 2J oOOjE. 2 2 .'5)11)00 '200 years' purchase to be /'ivcn 100 ■ " ,£20,00 the purcliase monev. The above calculations prove themselves, bv findinfr what the interest of the purchase money is at the same rate as the above .sums a'-e stated. r7r!Z^n T'''' P"'*'r'^^«« '"""'^y of the last question is £20 000, being at interest at £2^ per cent, per annum produces £c>00, being the annual rent of th« estate. ' To compute in one operation the interest of several sums, advan- ced at different limes, for the account of another perton. Bankers and merchants frequently advance sums of moaey for their correspondents, the interest whereof they charge on settling accftunts with them. The method of computing and .stating an account of Interest, without the assistance of Interest tables. 1st. Find the sums due to you at each date of the account, beginning where you are at first in advance tor your correspondent, thus: The first dishurscraont, or payment, made by you out of your own cash, is the first .sumdnt;; the follow- ing sums due, at the several dates, are found by adding the payments made by you, or subtracting the receipt* to or liom the sum due at the last ioregoing date re- spectively. 2nd In a lino with each sum due, write the days from the d;!te thereof to the date which follows next in order of time, whether the article be a payment or a receipt. 3rd. Multiply each sum due by its respective days and write the product in the same line, a little farther to the right, l\'\ 'L'i). IMa OF aritiimktk; )0, how Biany t, that ^21 per ! out ^ en. vcs, by finding is at the same st question is it. pnr annum, th« estate. ^ralsums, adva.i- >ersun. vance sums of erost whereof 3m. an account of St tables. :h date of tha St in advance made by you e; the follow- und by adding' the receipt* oing date rc- rite the days follows next payment or a pcctivc days, little farther o:^ 4th. Add the several prndiict-, aiidwitii tlic t<»tal, JiS if it were a single product of principul and da pursue tlic oiroctionn for calcuIatinL^ IntLMci^t fordav.s, as laid down just before. A banker and merchant open an account current tlic vanciii'f the sum 1st of .lanuary, iy.il, ih<> bauUer ad of £100 and proceeding as fjllow.- 1034, Jan. 1, paid 100 i 100 X l'^ IG, paid .>0 j 1-30 y IG Feb lAI ar. paid rec( paic iO l.jOO '2 10!) 30 r-.--: '2100 'jO J 20 X 22 r^^ 2G m 21, reed. 00 April 4^ acct. 40 4( I 1 -- 440 3100}i)0|»0 30 . 3 5 deduct. :t"l . !). 10 at Cpcrccnt. If required to bn found at -j per cent, deduct ,',(li. fioni the anw)uut of G per ccr.i. nearer demonstration of (lie above calculation 1834. ;.,„,/ .Tan. 1, due .£100; from (lie 1st to the lOtli of.Iau. l.^days, multiplied by 10;) ;-=^ I.Vii) • •• • IG, paid £.7), witii (lie flOi) give t'l.;0: from IGth Jan. to 1st Feb. IG davs, multiplied by 1.50 ". .' ^_ j; )(> Feb. 1 , reed. £80, deducted from .£ l."/0 leave £70; from 1st Feb. to '2n(! i^lareh 30 day.-^, multiplied by 70 ---:.- 2100 IMar. 2, paid I'.JO, with £70 before, ;;ive £|J0; from the 'Jnd to the 24th of .\?ar. 22 days, mulliplied by 120 = 2G \0 2\, reed. fiV); ded meted from fl iO leave £10; friitii 24!h I\rarcli u. }|h of April, 11 days, multiplied by 10 ^- 1 111 iOIJO The products divi.lcd by .300 oive 30.?. M., lio ,lii<'h oil. being deducted, tl 30, leave the answer L 1 . 9.10 at G re uomg o tmics ni iu per cent. 'hi. ',? ;ll N > '-'I , 94 NOVEL SYSTEM in.r'V;,p''l%r"'7?'' "^'" '"/"'■"^' ^«^«""*- ^ommeuc. it°Gpercc,I; ""''^""^ ending .ith of May, 1834, Here wc shall give the explanation previous to the '<"-m, nh.ch |,ke the former, is divided into five eolumns. I he first contains the dates of the several fiiH.is paid or r(;coivcd: the second the sums paid or lece.vcd on the respective days: the third contains the Htimsdue at each date, which sun.s are found by add- ■Mg he paynuMU to the last sun, due and bv suhtract- 'jigthe receipts from the last Bum due respectively 'he fourth conlainslho numbers of the days from the date ol the respective articles, to the date ne.M follovv- "H^; and the hl.h contains the products of each sum iliio mulfipiicd by its respective davs. Jan. I,;. ^ D.IU3. Prod. adva 1 '2.1 from Jan. lotiJIst 1G.-.19(;3 >', reed. 15 . di'fi 48fioinJan ."^l to Feb. 10 10.- 430 ', paid 90 duo ISS from Feb. 10 to 22. l'->'-\(\ — , paid 47 >o due 185fromFeb.2i to Mar. ,1 10-^.1850 Mar. 3, reed. 100 due 85 from March 3 to 23 20------- 1 700 23, paid 5o duo 140 from Mar. 'i3 to Apr. 4 12--I(J80 April !, reed. 100 due 40 from Apr. 4 to INfay 4 30-^-- 1200 3|00)10a|34 May 4, reed. 40 35. 4 deduct 5| i>l,\y 4. Int'?rest due at 6 per cent. jCI. 14 . 7| At o per cent, deduct i 5 . 9JI At 5 per cent. jEl . 8.10^ Mar OK ARirilMKTJC. int, coininenc- i of May, 1834, •revioiis to tlie ided into fivn of the several sums paid or fd contains the found by add- id by subtract- respectively: days from the te next follow- < of eaeh sum D.rja. Prod. 1st Ifi^.lOGU . 10 10:--^ 43' I I2=:::IG.'>U r. 3 /0----^iaoO 23 20-------- 1 TOO r. 4 12— I (J 30 4 30-r-l20\ov. o, paid 450 ' 480 x G3 7, reed. 300 1 180X33 9, paid 1101290X30 -.= 8700 9, reed. 100; 190X40 .^: 7G0O 3000 -- 3250 -= 1620 ==30240 -- 5940 13, settled account 73.00)71850(9.16.10 dm. 365)6150 2500 U'l *i. ,,• • S|0)31|0 v> hen the addition of the products .s found the second Rule for interest of days at £5 per cent i« .es apphed; that i.. dividing by 7300 g ves p "tnd' or the quotient; the remainder by 365 4c shU "as 10. the quotient; and that remainder by 30 reieS anv fraction over, gives pence, which poYnds. si^Sgf «li(i pence .sthe answer required, not bein« ^ubjcctfo ■n' „i m NOVr.L SYSTKM V'h i! ii deduction of ci penny for each sliilling; consequently the correct answer is uCO.lG.lO. Il' prclerrecl, tlie interest may be found ut G per cent, as in the prececd- ing ex-iinplc.-, aiid,',tii deducted from that sum learcd the answer ai o per ceist. t.. . DISCOUNT. Ft being cu^tomfjry for manufacturers to take oil" ;i f(Mtuin discount it.xteudiug from 2i to 7.5 per cent, fruin the price of irticles purchased, the followitiir methods will, wo trust, bo found useful. Rui.K — If tiie Discount to he taken off is any ah- (juot part fif a !''0, take tiiat part of the gross sum which \v'A\ be the discount, which beinir subtractoil from tiie gros.s sum h-avcs the net money, or the moncv to bo paid afier taking of the discount. EXAMPLES where tlie discount is an even part of 100. Wiiat discount sliould he (alccn ofT £lld'3-l at 2' pri cent. ? 21 of 100 is,: J. e M.J. .3.4 3. ri.T disc, taken ofl'at "J.^ percent. cflil'lO-O net money to be paid. Take the discount oil" JC203.7. 10 at o per cent, oof 100 is.,!,) .£203.7.10 10.3. 4 ,; discount. £193.4. net money. As o per cent is Is, in tiic L. &.c. Sec. we sliall give Hs we ])roceed more simple Rules when applicable; hut such sums as the preceding, to be perfectly accu- rate, should bo done by tiie foregoing methods. What discount should be taken olT L, 372. 9 .'2 at H) per cent ' lOof 100 is,,) £372.9. 2 37.4.11 discount. What £33j-4- 3 net money, ; consequently preferred, tlie in the prececd- liat «iim learcd 's to take oil' ;i lo per cent. , the followinir 1 ofTis any iih- ' the grosri siiin !iiig subtract!.-. I , or the inoncN rtof 100. J. 3. 1 at2i pel at -.\ per ociil. be paid, per cent. t. ley. we shall give en applicable; perfectly accu- lethods, 572-9.^2 at 10 By, OF ARITilMETIC. 97 Ml Take the discount off £1G0.17.8 at 1'2,\ per cent. ifio-n-B 20. •2-2}, discount. V2h of 100 is 4) £lfi0.17.B £llO-lo-o}i net money Find tlic discount on JEG.530.0. 10 at 20 per cent. --'O of 100 is i)jE(;o80.0.10 13It).0. '.1 discount. f5i'G4.0. I) net inar.ey. What is the discount on £17- 5.2 at 2d ; cr cent.- 'J5 of 100 is \ ) £17.1!. 2 'I.7.(v discount- ii lo. 1 • I i net money. Y\ hat i:5 the discount on 7s iVhd. nt .OO per cent, ^ 00 of 100 is h '» 75. lOld. !^.3- ll\ discou.i.t or n-t money Find thn ci.' \co'i:u on fA'd-'J- \0 ni ITj nor cent. 75 'jf 100 is I) £18- 1.10 4. 12. .'"3 A !ic* njoney. £13-17. U tliscunt. li'tlic discount ■. bo fourd is not ui even part of 100, divid<; th') sum by '.]0, tlie q lotient. is t/ie discount at .0 per cent, wliirli berng lu'iltntlic d by a.-j many n:i tiicro iue J t\nios contained in the uisoount vou wisli «-> liuJ, give.-? the an.^wor. EXAIMPLFS. T\KK flic di.ic;nu!!t olT J:;\26.ii..'i at !.'i por cra(. 20')ni:^i.8.3 R!.;. ryi di.s^ou.Mt at r> per rvrt Diulliply by S cs thore are 3'tim'\« in 15. £48. US -2!.] cr ^d. disc, at ;i:r f.-c: l'>v tins lijothoc.' tlu wact iVactio'i i.s (discovered. wiiicn every person is at liberty t.> follow ha i V) Hiy v.u;!i. m .'1 m i i J ^^^ i\OVEL SYSTEM Whatia the discount ou 4s. lOd. at 35 per cent. 20)4s.]0d. 2,^ at 5 per cent. s.1.8,; at 35 per cent. Or thus: Multiply tlio sum on whicli the discount i lobe discovered by as many as there are 5's in the discount to be taken oil'.* Consider the pounds pro- duced as shillings, and allow for the shillings, if any, t!ie same part of a shilling as they are of a pound. EXAMPLES: .'i-'iND the discount on £7-8.4 at 15 percent. £7.8.4 The £22 as shillings are ^,£ I. j, .? and the 5 in the shillings being i of a £ allow 3d. the J of a shiTliu"- r.?2..-i.O .9ns. £1.2. 3. Find the discount on .1*27.3. 10 at 17i per cent. ,£27.3. 10 The L.95 as shillings ^L.4- i:. 3^- and as 3s. 4J. is just „ of a pound, allow the ,' of a shilling, ;^ '■:d. ni.il. G Jlns. Jt;4.|5.2. 13.11.11 L.dr>- 3. 5 f Jt J-'ind the discount on £150. M.2 at 3!i per cci.t. £.150.11.2 This 3\\ contains G\ times .J, nnd the L.94I produced as shil- linos, £.47.| and the proportion that the 18s. G|(/. bears to a L is the same, or a little better, than that 1 Id. bears to a shilling'. 'Jll.lti.tU. .ins. £.47.1.11 atSji percent. ^.l 904 . 5 • .J ( . 13 .Gi •* 'f.!..! IS, If the % OF ARITHMETIC. «» The following Table of discounts will be found useful. ■I)'' cent. I H 1. ■■1 1 In ihc e ] ^'icnt u ?^ 3 H 10 J2J- 15 s Os: s s i s s s d 1 1 1 1 2 2 2 2 ■3 o; i; 11 3 6 9 •i 6 9 3 6 9 ! 16i 20 21i 22 i 23 1 26\ 27i 2b J 30 314 32A 33 f 3.5 36.1 In tho £ s 38. 3d. s 3 6 3 4 4 4 4 s ,3 .S S s s 5 s o s 5 s 5 s 6 s s 3 s s 3 6 () 3 6 9 3 6 9 3 •V r.-nl 37 i 38f 40 ■il.i ■12i 43| 45 4G|- 41 h .50 .5.5 60 6.5 70 75 80 IS is is is is is irf is is is is is is is is is is 111 It.. £ Is. 6 7 {( <> ti 5! 8 9 9 U 9 10 11 12 13 14 15 IG 9 3 6 9 (I 3 G 9 U (I I.! {) liy the foregoing table the discount may be found bv finding first at 5 per cent, and multinlyiiig as the case may require. What is the discount on L. 125 at 30 percent..? L.6-5 at 5 per cent. 6 Z/.37.10 at 30 per cent, What is the discount onX.28.10 at 45 per cent. X.. 1.8«6 at 5 per cent. 9 L.12.16.6 at 45 per cent. What is the discount on £.128-2.6 at 70 per cent. I^.G-Q'l^ at 5 per cent. 14 I/.89.13.9 at 70 n(,, imiliiply l>) 3, ; By the above Rules and be made to anv extent. ■ cent. E.xamples, calculations may •i'i Mr *■, ■■3."' ^■1 JOO NOVEL SYSIT.M .'^BRITISH AND FRENCH CURRENCY. Wk arc int]cl)tpd to a jrontlciiian, wlio liaa rosidod n considerable time in France, for tlic following short method of bringing French currency into Hritisli, and British currency into French currency or francs. Rule to bring francs into British pound:^ sterling.— Cut oft" the last twii figures and multiply the rcniaituics by 4, the product will be the answer in pounds. JYote, 25 francs arc L.l British. EXAMPLES. In 2500 francs how many pounds storlin" ? -'5100 francs n .9ns. LAOO British. In 2600 francs iiow many pounds ? 26|00 francs. Ans. L.lOi British. In 2720 francs how many pounds ? 27 120 franca. 4 jL. 108 and 20 francs over --= L.\0^- 1G. .?»i« In 810 francs how many pounds ? 8 1 10 francs. 4 L.32 and 10 francs over =^ Z/ 32.8. ^Ins. In .3500 francs how many pounds } 35|00 francs. i 140 British. Anf. in 5624 francs how many pounds .' 56|24 francs. 4 L.22i and 24 francs =.L,224. 19.2^ Ans OF AIUTHMRTIC. Ill 180iJ francs how many pounds r 18)05 francs. 4 10) ■I L.\On. ]G. .Jns :.32.8. .3»s, L.72 aiul o francs ^-=L.'i2' \. Jin^. A franc licing 9^ Knglisli, .0 jnust be 4s. In 2026 francs liow many pounds ^ 20126 francs. 4 L.80 and 26 francs. 26 francs -- I . . 91 L.81 .0 . 91 English, Whs. In 20000 francs how many pounds ' 200|00 francs. 4 X.800 British. Jl.,s In 1000000 francs how many pounds ? 10000100 francs. 4 i/.40000 British. Ms. To bring British pounds to francs, lUi.r. Divide by 4 and add two ciphers. EXAMPLES. Iv L. 100 British how many francs ? 4)1,. 100 2.500 francs, .^m. In i, 104 how manv francs .' 4)L.104 2G00 francs. .Qns. In -L.32 . 8 how many francs ^ 4)L.;32.8 800 francs. is. over -=^ 10 francs. i I' 'I ■i'M In L,140 how many fr 810 franc.\\C4 60 108 ounces at Id. amount to 9s. per ounce multiply by 'J| £l'S.3 .Jm. What would 120 gallons co.st at lOjfZ. 120 gallons at Id amount to lOs. per gallon multiply bv 10: .Vole, Should M. oc( £5-'2'C, -fills. ■^a. occur in the price when calculat mentally, take 3 quarters ot^ what it which add as ni£r in the Ibllowino- EXAMPLE comes to at Id. PosF. 96 gallons at Q.^ ,i Its . 109 NOVEL SYSTEM \4ii ^i ■H' ■I Wliat will ^^ 1 gallons cost at T\d. per gallon. U 4 at III. MinouiU.s to Is. limit inly by 7.j What will 1;1J vuvsr £2.10-1) Ma. •n-t at lOJfi. ner ounce : i;? 2 at Iti!. aiiiouiit to 1 \s. niLiltiply by \0\ ;C5 . 1 5 . G Jins. S»ij)i>osc 1(H{ yards at \0'\d per yard - U'8 at 1^/. amount to I's. inulti|i!y by 10| £1.10.9 Jlns. lluvin;^ given many examples in IMenlal Calcula- tums, willi explanatory notes, wc think a tabic of that description may bo ncccptablc to Principals of Semi- riarios, as also tl.c Heads of Families to exercise tl o young Pupil in, they being calculated to strc ngtl 0:1 the memory, and much facilitate their pcwtr of jolvi:).-^ Questions in tlie mind. Table of Calculations to bo answcretl Mentally. pn yd. ,1 liisn CVJ 1 po //). Jinnu- •r.s. yds. s. d. £ s d. ; /5.S. ... d. f. .». I **•• 21 at S G 3U at ;1 1 7 21 at ■4 y 2G at G il) 1 10 (.' 2 ! at i% iO ) CG ut (-) 11 I 13 i \ 2 4 at (; 12 21 at u 7 11 ^rJ.i. pir --V/. -M at IG 37 at 1 3 I 24 at [) I a 37 at i'> a ') 2 J .it 10 1 {) 3 7 at ] 21 ut i 1 1 .37 id i) ! 12 •) Ihs. per !h. 37 at ■i 15 1"^ ;Jt^ at 3 'J 37 at G l!i r, 3Ci at I 12 37 at 7 1 1 r .'K; at 5 15 37 at !J 1 -1 !l .'jr. at C 18 37 at U ;» 1 7 '■ 3*i ut '4 1 1 c 37 at ' () 1 10 11) SC> at H 1 1 37 at U J I 1 13 11 '18 48 -18 ■18 40 '18 48 ; 48 ; •IK '18 1 48 i 48 i 48 ! 43 : 48 i 48 J 48 i 4i r 48 f no f (iO n GO GO GO GO GO GO GO (;o GO 60 GO GO GO GO GO GO •V,i OP AUrrilMETIC. 100 m 3ntal Calcula- fi tabic oCtluit ipals of Seini- o excM'c.ise fl »; to StfC n^ptl i;') \V(.r ol' J'jlvin^ larcutallv. In the. following lifiHpeniiy is iuti tlio prion. jnr Ih. Vjs. s. d. 48 at 1 48 at 3 '18 at 3^ ■18 at 4 48 at 4 J 48 at b" 48 at ,'>% 4B at (i" •li' It r| 48 nt 7 48 at 7i 48 at 8" 48 at 81 43 at 'j" 48 at '.)\ 48 at lO" 48 at \Qh 4'] at on" 48 at 14 stones, per stone. GO at 1 (50 nt 3 GO nt 31 f>0 at 4 fiO ot 4| CO at o" f;0 at Gh GO at g" GO at Gh GO at 71 GO at a" 60 at 8» GO at GO at !),v GO at JO" GO at Wh CO at 1 r GO at 1):^ g t iblo a per p.al. -■^ns] tey. reduced in \^a}s. a. d. £ s d. 72 at I G /i iisiccrs. 72 nt 3 18 O ,i s. d. 72 nt .'H 1 ! 4 72 at 4 1 4 12 72 at 'H 3 6 G 14 72 at r>h 1 13 IG 72 at H I 17 G 18 72 at n 2 5 72 at H 2 9 G <2 72 nt H 2 17 4 72 at 10 3 G 72 at 10^ 3 I (i 8 72 at 101 11 3 3 10 72 at 3 G ■> ^ 72 at Hi 3 7 G 14 72 at la- 3 <) IG stones. per slo}:c. 18 JM ;.t 1 7 8 1 at 3 1 1 2 2 84 at i) 3'. 1 ] {] 2 4 84 at r 1 8 o G 8.1 at '';■ 1 11 G 81 at 5 1 15 o 84 at 5| I 18 G 15 8! at 9 2 i '/ G 84 at 84 at Gi 2 5 G 1 2 G 84 at * 7 2 1 1 7 G 8 ! 84 at at '1 2 12 2 17 (5 1 10 8 I at 3 3 1 12 G 84 :•, ■U 3 (; r, 1 17 (■) 04 at 1 10 3 10 !-> (; iM at ]«)i 3 13 G o 2 G ■ u! (It iT 3 r/ () /i 8 1 lU Mi 4 ;; <» 7 G oz. /!<•;• ,:~\ o lO HG \i 1 8 <■) 12 G i}G 'It 3 ! 4 7 !>G at W at 1 I 8 '«i il! n no NOVEL SYSTEM r^ f P' roz. Ansivers . per Ih Anawtrs. z. s d. £ s d bs. s. d. £ $. d 11^ at n 1 10 120 at ^ 2 2 B 06 at ■!; 1 11 120 at b 2 10 9G at 'yy 2 6 120 at 5.i 2 12 B OB at B- •2 10 120 at c| 3 r, no at S 7 3 10 3 V2 3 1-3 3 17 7 o 2 ♦; (» <; 4 10 4 \o 5 7 t; 5 10 5 15 11 1 13 1 18 2 1 2 4 ■2 G 2 15 3 3 3 3 17 3 19 4 13 4 1 26 pCl' 02 at at at at at at at 10 at lOf at 4 at 9 at • G m at ;it ft a I 9f 8 3 y The foregoing- tables have been insert.Hl, to ,^;iva Tcach(M-s anJ Parents an opportunity of interrotra'ing: yoiit.'i of'ooth sexes, in 3'Ien;al Calculations, and iiom ihc cxnianriciis given, we flatter ourselves they <;;m bo dona with ease to all partie-? The Answers are not to be got by rote, but oliould be given from a knowledge of the method, for which reason answers have not been attached to the last column. Having laid down a variety of cilculations from 1 penny to llfri. we shall now introduce soirie calcula- tions to be solved Menlalhj, where the price is shiilingi-. Shillings and 3 pence. Shillings and G pence. Shillings and 9 pence. t/rfs. GO at 60 at 2 GO at 3 GO at 4 GJ at 5 per yd. 8. d. I •/Inswcrs, £. s. d. 3 6 9 12 15 s. yds GO at C GO at 7 GO at 8 GO at 9 per yd. d. 60 at 10 >B iiswe.ru. je. s. d. 18 a 21 24 27 sa hm ii ■,,;* 4 i 112 VOVEL SVSTE.Vf m} pel ,,d. Jinsivers J per I Id. Jli iswcrs 'Wi' ijds ■ s. (I. £. s. d. yh. s. d. £. s. d. m\ (JO at 1 1 S3 100 at ') 2,5 GO at VI 3(j 100 at .0 G 27 10 100 lit G 30 ^ CO at 1 i 100 at G 1 30 8 4 80 at 3 12 100 at G 3 31 5 U b *3C at 3 3 13 100 at 7 3.5 BO at 3 (5 14 100 at 8 3 41 5 'A Hi) at 1 IG 100 at 8 G 42 10 !,■•- ' 80 at 4 3 17 100 at 9 1 4.5 8 4 BO at 4 G 18 100 at 10 1,1 50 IG 8 '.'•i 130 at •1 ;) 19 100 at 10 G .52 10 ^^ 80 at 5 20 100 at 11 3 Ol] 5 () 80 at 5 3 21 100 at 12 GO 80 at 5 6 t)f-> 9 100 at 12 2 60 IG 8 J, 80 at 5 9 23 100 at 12 9 G3 15 80 at t] 24 yj 80 at 6 3 25 120 at 3 18 1 *1 80 at G 20 120 at 3 G 21 80 at G 9 27 120 at 4 3 25 10 00 at 7 28 120 at 4 9 28 10 " 80 at 7 3 29 120 at .5 30 80 ot 8 G 34 120 at 5 3 31 10 « BO at 9 3G 120 at 6 G 39 80 at 10 9 43 120 at 7 42 • 80 at 11 44 120 at 7 3 43 10 80 at 11 G 4G 120 at 8 9 52 10 80 at 12 48 0,li0 at 9 54 120 at 9 3 55 10 1 100 at 3 1.5 0|l20 at 10 9 G4 10 . 100 at 3 G 17 10 120 at 11 1 6G 10 100 a1 4 20 uo at 11 G G9 lOi ) at 4 1 20 8 4 120 at 12 72 [n the ! ibove the 100 at 120 at 12 G 75 Is. is £.j. at 4s. amount to Ji^2 0, 1 n addition to wliinli I, SO at I G 10 1 00 at Id ^- 8 s, 4d g' ve 130 at 3 19 10 £^ 0-3 .4. ilSO at 4 20 -*P Here 80 at I.T, :: -=£4. 1 imiltipl ied by 3| »y(is. 1.-30 130 130 130 130 1 30 130 1.30 140 1 40 140 140 140 140 140 140 140 140 140 140 140 140 1-40 140 140 MO 140 140 140 140 160 I GO IGO IGO IGO IGO IGO IGO IGO givos the Jl'is iil3. OF ArifilMETIC 113 ■ Jlnswers ;.er yd. Answers . per yd. viimvcrs [, £. ' a. d. »/'is. s. d. £. s d. yd". s. d. £ s. d 25 130 at 5 32 10 'k.O at V, 9 54 G ■21 10 130 at 6 39 1;, ) at 7 5'3 J 30 130 at 7 45 10 ! 160 at 7 1 56 13 4 1 30 8 4 130 at 8 52 160 at 7 3 58 ^ 31 5 130 at 9 58 10 160 at 7 (; 60 (• ) 35 130 at 10 65 160 at 9 ;) 78 3 41 5 130 at U 71 10 160 at 10 ■ ; 02 3 42 10 130 at 12 78 160 at 10 6 84 1 45 o 4 160 at 10 <) 86 > oO 16 !J 140 at 3 21 160 at 11 88 J o2 10 J 40 at 3 6 24 10 160 at 11 1 88 13 •'. } 5ii 5 (1 J 40 at 4 28 160 at 11 3 90 (' ) 60 MO at 4 3 29 15 160 at 11 6 92 ) GO 16 i; 140 at 4 6 31 10 160 at 11 9 9 1 ) 63 15 140 at 5 3 36 15 1 160 at 12 ;)6 140 at 6 6 45 10 IGO at 12 3 98 ri 1 18 140 at 7 3 50 15 0; J 2! 140 at 8 5G O' 180 at 3 27 i 25 10 140 at 8 1 5G U 8 180 at 3 6 31 10 ) 28 10 140 at 8 6 59 10 O' 180 at 3 9 '.)i 15 (» ) 30 140 at 63 180 at 4 36 3 31 10 140 at 9 1 i^:i 11 8 180 at 4 1 36 15 (1 J 39 : 140 at 9 3 C4 15 180 at 4 2 3V 10 (! J 42 / 140 at 9 6 66 10 180 at 4 3 38 5 (1 3 43 10 1 140 at 10 3 71 15 180 at 4 G 40 10 9 52 10 f 140 at 10 9 75 5 180 at 5 45 (1 54 I J 40 at 1 1 77 180 at 5 3 47 5 3 55 10 1 140 at il 1 77 11 8 180 at 5 6 49 10 o E) G4 10 ! 140 at 11 6 80 10 .0 180 at G 9 60 15 i) 1 66 10 \ 140 at 12 84 C ISO at 7 63 (1 G 69 140 at 12 C 87 10 180 a( 7 3 G5 5 (» 72 180 at 7 (! 67 10 G 75 160 at 3 24 180 at 7 !» 69 1.5 160 at 3 6 28 130 at 8 7 2 6 10 160 at 4 32 180 at 8 1 7 2 15 19 10 160 at 4 1 32 13 4| 180 at i{ 3 74 5 20 160 at { 31 O! 180 at (1 8 1 160 at 4 6 36 1 1 80 at n 1,1 85 10 1 160 at 4 9 38 130 at .3 92 5 (» 160 at 5 4') 180 at 1 99 (.1 160 at 5 3 42 180 at 1 6 1C3 iO I m\ \ it 11 lU NOVFJ. SYSIIiM ■■■.*'< f .' yd:< per ijd. A HHivcrs. d ' yds })ey yd. IHO at ) > 108 2ij0 at 1 I {] 1] 200 at 3 200 ut .3 200 nt 1 200 at 200 nt 200 at 200 at 200 at 200 at 200 at VOO at 200 at 200 at 200 at 200 at 200 at 4 <~/ 5 G t; G 7 7 y 9 i> 20.) nt 10 200 at II !J 1 G .3 G 9 G 3 G I 3.5 37 10 42 10 200 at I G 4. "5 47 50 5 J uo GO G2 G5 70 77 85 92 du 97 !00 110 10 IG 10 10 10 10 IG I (> o o; Gl at 100 12G 140 150 1G3 180 180 200 24 G2 68 104 2-10 242 17 at at at at at at at at at at at at at at at () 7 9 9 10 II 11 11 11 3 7 9 II 3 9 3 G5 at 4 80 at 4 3 80 at I 9 (i (; 1 G 9 G Jin sirtiti. 200 nt 12 120 200 at 3 30 0,200 at 12 G hjr, 2u0 at 3 3 32 10 o {) J U {) Ilaviiig given extcMisiv(! lists of Mental Calculations, with tile ansvvcra annexed, tliat persons wishing it can improve tliomsolvcs: andaioo, tiuit Principals ofSemi- iiari^s, or 'Jeads of Fan.ilies, can adopt the method, employed by the authors, in exercising their Pupils in calculations oi'the same description: a fcv have heen added, where the |)rice is hoth shillings and pence;, without t'.ic answers, which can he solved wilh tin; name case as tiiose to which the an.iwors ure attached. Vs'g sliall now add some questions to exercisie all the foregoing Rules; oj.dy a lew of which shall he worktd in full. EXAMPLES. WfiAT v.Iii '2C yards cost at ol. per yard? .Ins. 10.'. lOii, IVnut v.'iil •J .J i'''.-.', cost ut 7(i. per ib ? /i.ie. £1.0.1/; H-if! OI' AKITilMKTK; lie d. £. .,. ,/ (J lid (» () 1-20 () c f-j.j u (, :3 I 'J (; (J 1 t; y (t (J u Calctilatioris, wisliiiifj; it cati ;ipals of Serni- il tlio motluid, lieir Puj)ild in t",v liave been ;s and police;, Ivc.d witli th(! 1 uro uttiiclied. xorcist; all the lall be worktd Ins. 10.^ lOd. its. « 1.0.1/; \\ Imt will .0.3.^ yalJons cost at ad. per jTiilJon: W'hul will I'2G; stono cost at 9d. per st fins. £1. IG. 10. ono; What will 1 U] t ounces cost at \0d. Jlis. JCt-l.j.O,^-. per ounce: Wiiat will OG yards cost at '\d. per yard? Ins. j(;(j.3.0| \Miat will lOy M,5. cost at n\d. per lb. Am. £-2. Itj.O. dm. £3. IG.G. \V hat will 240 gallons cost at ?^d. per s. cost at U.jc/. per /6. ? .iis. £5.4. lOi. >\ hat will IGO,;- gallons cost at 10f(/. per gallon? Jlna. JLT.S.G-;:, , or ,',(/. JSltc, The price of all tlic above is to be fonnd at hi. and multiplied by tiic price. EXAMPLES. TiiK price of each oi'the following i-, to be found at Is. iiud multiplied by the price. What will 41 gallons ■ost at lis. per gallon? Am. i: '24. 4.0. What will ;»G yards cost at Os. per yard? ^^ns. £13.4. \\ hat will 97 yards cost at 7s. per yard? Alls. £33.19.0. Whut wil! 3:-,| gallons cost at Cs. per gallon? Alls. £3.5.14.0. What will 91^ ounces cost at 9s. per ounce? Am. £41.3.f.. What will 0.\' yards cost at 7s. per yard? Alls. i:32. 10. 3. What will i.)l I- ounces cost at JOs. per ounce? ,„ Am. £32.1.3. >\ hat will 1 1 yards cost at 4.9. Id. per yard? Am. £!}.19.i5. What w;'i GG yards cost at 'is. '2d. per yard' 'Am. £17.1.0, What will DM, aall J a all IS cost at 8s. ]d. per "a!! on: Am. £3G.I9.7i-, w ' f f ' ' ' II 1 i 116 NOVEL SYSTEM What will 1 10| ounces cost at 0». 2c/. •C5.10 . 3 at Is pcrounce? 10s. 'l^fi. to bring in. All the above alioiilii bo d above method. on in one line, by tlit Vi'hat HO'jld LlO vards cost at 3s. 3d. ncr yard: £i 3i ^l■^ JLs. Wiiai would 8 i gallons co^-t at Ud. 'Jd. Wl)!)t would 90 yards coat at Gs. 9d. per <.;.'illoii .1 ■Jns. :L ■C " -T . -> Wiat will ]'2l Tall per yard.' Ans. £30 -H) )ns cost at 10s. 3d por "alloM.' What will 145i oiinceg codt at lis. fid. « What will U).'3^ yards cost at liJs. Gd £n . 3 ■ per ounce ? ■ poryard.' i:.'^ £4. 1 . lOh. to bring in. £102 . 6.10* A ns. What will 18U- yards cost at lis. 3d. pcryard.* dnn. i 102. MO.',. What will ,204J stones cost at Is. 9d. per stone' The following calculations being similar to the fore- going, may be done by the Rule laid down: viz liv taking the pence, of the price of one article, a^ shij- Imgs by which you have the price of a dozen articles which being multiplied by the number of dozens in thr »iuantity, you have the au.swcr. EXAMPLES Wii.vT will 24 articles cost at 7s. 3,/, each' xi ■ 7 <> Km jes.M Jns. r ounce? •inVliat will 1.-3.2 aiticluri codt at o.j. \)}^d each, It 117 ! lino, by tlip yard? ^'rilioni' .-'.'iS. £13. 2. yard r ns. .t.':50.7.f;. !■ guilou? r ounce? • yard? to bring in. yard ? tone? i. -t^TO.G.Ol. ir to tho forc- >\vn: viz. JJv iclc, aii shil- >zcn articles, dozens in the What will \J} ;a-ti.;lc.-3 co.it at 1.3). 7.j(Z each' What will 7.2 articles cost at .Is. luj/. each? Jlij. £1.3.1 'J. What will n J .irticle.i cost at .3,. Cj^d. each? Jns. i:i;3.1G. 10^. What will 102 .irticles co.st at I2.i. nVl each' £7.12 . U ihe price of 1 doi'.eii. i'j dozen, beiiii^ ^- 10.J. .'-■iM.li; . :l A,u. What will M7 articles costal lis. 10].]2. i)erciW. ^/;js. £G7 2 '.tcwl. 2 (jtM. at .C"). 10. G per cwt. Jlns. Cvi 1 acrps 2 roocl^ 8 i)erchcs at X3. 10 per acre. ^Jiis. ii2l.'> 8 G. IC, acres .^ roods 24 perches at X 1-6.8 per aero. Ahx. £'A:i3 -1 8. o7G acres o r(jou.s SB perches at £7. 1 per acre. Jins. X!07G l 7.^ Tv or. 8 ciic/s. 4v;rs. at 3j. 1(2 per or. Jyis. £2 11 -li MG or. ]G dwts. 18 grs. at -CS- 10 per or. Jlns. .€.317 8 IL GO or. 7 (/i(75. at Hs. G'i. per or. Ans. £2.5 12 lU. Interest of £20 lor 5 months at 5 per cent. Jins. Gs. -id. Interesi of X22 for 7 months at o per cent. Jus. I2s. \0d. jl merest of 1*27 for 8 montlis at .0 per cent. Jlns. 183. Iiitercgt of £.33 for 1 1 months at 5 per cent. Jlns. £l 10 6. Interest of £.3G.10tf. for C months at 5 per cent. .Ins. 13s. 3d. Interest of £39. \5s. for-l months at 5 percent- Jlns. 13s, 3d Jiilorest of £17. .5s. for G months at 5 per cent. .his. ^l 3 7i. Inlerotft of £.5.5. IOa. fur 10 niontlis at o per cent. Ans. £2 6 3. Interest of £90. L5s. for 8 months at 5 per cent. Interest of £12G 'Zs.Od. for 8 months at 5 percent. Ms. £441. Interest of £1.33 I5s. for 1 1 months at 5 per cent. Jlns. £6 2 1\. Interest of £9^9 i 5s. for 8 months at o per cent. ^rts. £33 6 6, OF ARII'MMKTIC. U9 \s.£24 G li lis. £v:> 15 rj,9. £(n 2 /IS, t.')'-I 'J Kll'JO 17 'J^. acre. IIS. ii2ir, 8 G. cr aero. i/.t jl:;!J3 1 n. r acre. XIOTt; 4 7f. s. £2 11 1^ . .C,317 8 7A. £25 i:j ill. It. Jins. Cs. •It/. It. Ins. 12s. 10(i. ;it. Jlns. ]Q3. }nt. IS. £1 10 i). er cent . .'2?!.?. 13s. 3d. ,;r cent- Jins. 13s. 3d. cent. his. i:i 3 7i. ler cent, ylns. £2 6 r>. r cent. Ms. .13 6 6. > per cent. Jns. £441. per cent. ins. £6 2 71. er cent. Ins. £33 e 6, interest of i;2l for G monlli.s at G per cent. J/i,». i:j. 7'//. Intercut of £.3 1 fur 7 months at G per cent. Ju.f. £1 I CJ. Intercut of £ IG lOs. for G inonlhH at G per cent. v'i«.t. £1 7 10 ;. Interest oi' £GC> 1,5.9. for 4 month.s at G per cent. Jhv:. £1 C 8^. Interest of £7-3 15*. for 8 months at G per cent. Ms. £3 7;. Interest ofi;9.3 10.9. for 10 months ntfi percent. Jins. £4 l.'j G. Interest of £125 for 11 montlis at G percent. dns. jEi; 17 G. Interest of £17,5 iCs, for 10 montli.s nt 6 percent. J/is. £ti 1.5 6. Interest of £2 10 10s. for 1 1 months at G per cent. -fhis. £13 4 6J. Interest of £45 for 6 months nt 4 per cent. Ans. 1 3s. 0(7. Interest of £60 for 3 months at 4 per cent. dun. £[ 12 0. Interest of £70 10s. Gd. for 9 months at 4 per cent. Jlns. £2 2 3^. Interest of ^Sj 1,5s. for 4 months at 4 per cent. Ms. £l 2 I0^ Interest of £40 for 6 months at 4^ per cent. Ms. 18s, Od. Interest of £50 for 7 months at 4h per cent. dds. £ 1 (j 3. Interest of £G0 for 1 1 months at 4 A per cent. Ms. £2 9 6. Interest of £75 lOs. for 8 montlis at 4^ per cent. Jlns. £^ 5 3 ' Interest of £85 lOs. for 12 months at 4| per cent. -liis. L3 16 llf Interest of ,€95 Gs. Qd. for 1 year and 4 months at 4i P«''^«"t- Ms. L.rj 14 4f. Interest of £135 for 1 year and 8 months at 4l per ^'^"'- Ms. L.lffde. Interest of t'7T5 10s. for 1 year and 10 months at 44 •'"•^ent- Mh. L.63 19 ea. 120 NOVKI, SYSTEM ■ y .'I m i ' ■tv'ii IiUorost of LiV}'} r„r 1 month at .-3 pur cent .'Ins. ICs, 3:1. Interest of L.il lOs. lor 5 niontliy at G pvi- cent. dns. 1 la. \Chl. IiUcrcat of L 123 03. for G montliM at 3 per crnt. .'?/is. I, 1 \Q r>i. Interest of L.207 for 7 months at .'5 per cent. .his. L.rj 12 5]. Intcreat of L 17 lOs. for JO months at 3 per cent. ^'his. 85. 'Jd. Interest of L.MOG for 12 moiithi; at 3 per cent. .'Ins. L 42 3 7]. Interest of L.l Qs. Qd. for 14 months ut 3 per cent. Jins 5s. \\l. Interest of L.i23 17s. Qd. for 9 months at 3 per cent. Jins. L.<2. 15 9. Interest of L 145 10,-. for 1 1 months at 3 per cent. Ans. L.4 O^d. Interest of L 165 os. for 3 months at 3 per cent. c/2«s. L.3 G I Id. Interest of />,175 Gs. 8d for 12 months at 3 per cent. A71S. LB 5 2«(i. Interest of LAd for 4 months at 2^ per cent. Jlna. 8s. 2c/. Interest of L.6G J5s for 3 months at 2^ percent. Jim. «s. 4^d. Interest of Z..09 15. for 8 months at 2^- per cent. Jins. L.l 13 3. Interest of L.240 for 1 1 months ut 2^ p<^r cent. Jins. L'^ 10. Interest of L 3G0 for months at 2^ per cent. c/?'is. L.G 0. Interest of 1,365 for 1 year 8 months at 2^ percent. . •■?«?. L.l', I 2. Interest of X,65 for i! ;I;r, ^ a' ;f percent. vir;,?. 3.9. 'Jd. Interest of L 480 10s lor 3G Ucr, .-, at 5 pw cuint, Jins. L.2 7 -1^, Interest of L.iiO foi Lid iluyo -i ;: percent. Jtiis L.l ;) 7, Interest of Lio for jn Joys :u G p';r cent .//hs. 5.?. 1 h/. Interest of £. J2" for S^O Ui.y.'-. U '": '.n-i cent. .'2;is. IGa Ud. OF ARlTHMETlt 121 Amount of 17 yards of calico at lid. per yard Amount of 19^ yards at lOd. per yard. Amount of 22f lbs. of sugar at Qd per lb Amount of 27^ /6s, of lump sugar at !I; OF ARITHMETIC. 12S per lb. <■ Lai 11 io| d. per gallon. ^Jns. L.i)0 11 8 }d. per ton. ns. L.143 15 0. per ton. IS. L.150 15 0. »er cwt. 3ns. i,.16 10 Jns. I..10S 5 6. per civt. >ij, £,.138 18 9, . L.eO 16 lOJ. i. each dns. £154 7 I. ;nt. persons arc :raders, and the le Arithmetician r cent, while the makes it a gain ery person is at iders correct, we 'er the rate pei her method. on the costprict. of the jirsl cost, Juet is your gair- ig on the selling is of the selling pncr, and divide .£100 by the same, the product is your gain per cent. EXAMPLES. Calculating mi first cost price. Bought silk handkerchiefs at 5s. and sold them for 6$. lOd. each, what is the gain per cent ? lOd. oi'os. is i) 100 £l6. 13.4 gain per cent. That is, if you had laid out L 100 in the purchase of articles at os each, and sold them at 5s. I04 rach, you would on the expenditure of L 100 huve gained £,.1G-13'4 or W^ pei cent. Bought tea at 5s. 4d. per /6. and sold it at 6s. what js the gain per cent .' The difference hctween 5s. 4d. cost, and 63. selling price, is 8d. Sd. of 5s 4d. is i. 8 divided into L 100 gives V2l per cent. Bought cheese at Qd. per lb. and sold at lOd. what is the gain per cent.? 2d. gain, is of cost price J)100 L.25 gain per cent. Bought mustard at lOd. per lb and sold it at lljrf. what is the gain per cent. ? Id. of 10c! is ,'o)l00 |d. of Id. i.s ^ 10 L.\d gain per cent. Bought at 2s 6d. and sold at 3«. 0^^/, what is the gain per cent. ? ed. of 2s 6d. is 1)100 Jd. of 6 is ,'» 20 1.13.4 jL 21.13.4 gain per cent. Bought at Is. and sold at Is. U^d. what is the gain per cent ? ijd of Is is,',) 1 00 L.4 .3.4 gain per cent. m m 134 NOVEL SYSTEM ^M EXAf^PLES. Calculating on the sellino price. BouoHTgunpowderntSs. 6(i. per/6, android it at 3*. what IS the gam per cent. ? 38. gain Gd. which is ^ part 6)109 T, ,, , J^' '6 • 13 • 4 gain per cent. Kought maiiogany at lOd the foot, and Bold i; at -^o. what IS the gain per cent..' 20d. gained, id. ,',)10J _ L 5 gain percent. Bought at Sd and sold at 9jt/ what is the gain per cent, r o r !*J 7 7 7 3 8 9 4 6 9 2 ^ 7 8 . 5 10 s 6 n 1 •J IVeek. £ s. d. 9j n 10.] Hi o,i 2 n 3 4 5 Si 6i 7i 9 i)h It Of li Day. £ s. d. u u II, 2 o 2 2.f 2i 2i 2i 2.] 3 3 3.1 ai 7 7 7 H 8 S 8 H 9 9 9 n rf OF ARirUMETIC. 127 I 1 |K Year. Monlh. IVeelr Day. i £ $. d. £ 8. d. .€ ». (/. £. »'. d J r. 16 6 9 7i 2 2J 3^ 1 1 '', and those « 10 , 2 SiJ 4 j 1 a (i 10 6 ' 2 5 4 i ti 10 10 10 2 6 U 44 II 4^ II 6 16 6 Oil 4.^ ' 2 7.i 7 118 ■ 2 St 4^ |{ 4!1 1 )n8idere(l «» 7 5 12 1 2 94 7 7 12 3 2 10 41 f if 200 cost 7 10 7 17 « 12 6 ' 13 U 2 lOi 3 04 005 « 54 i !< i;j 4 1 8 1 54 i I equal to H ;> 13 9 3 2 5i f, ^d. are ul- S H 14 3 2| 6i • 1:1 S 15 ti 14 7 1 3 4i 54 \l tit. aro paid • i) U 11 lOi i 15 ! 3 54 3 54 5J |l 6 Jj i) 5 15 5 i 3 ej 6 i ed on page !) t» 15 9 ! 8 7i 64 It, at J- per iJ le 3 3 9 ci 10 16 8 3 10 64 ing by any 10 5 10 10 17 1 17 6 3 114 4 Oi 61 7 j swers pro- 10 15 17 a 4 1$ 7 jj U 18 4 4 3 7{ 1 ilating the 11 It 19 3 4 54 " 74 1 necessary 12 1 4 7i 8 jl oducc any e, that can 12 10 1 10 4 9i 8} ' 12 12 13 1 1 1 1 8 4 10 5 84 1 8i 1 n. 13 10 1 2 6 5 24 84 1 13 13 1 2 U 5 3 1 14 I S 4 5 4i y4 er annum, 14 14 1 4 6 5 8 94 15 1 5 1 5 9 10 15 10 1 5 10 5 111 104 Day. £ s. d. J4 14 1.', 15 15 1 6 3 6 OA io4 16 I 6 8 10 6 2 lOi 16 10 1 7 G , 6 4 11 16 10 1 8 i 6 5i 11 114 1? 17 1 8 -. 1 6 04 IJ 17 10 1 9 2 8J Hi 14 17 17 1 9 9 ' 6 lOi 114 2 13 1 10 6 U . Hi 2 2 24 2i 2i 18 10 1 10 10 7 14 I 04 '1 18 13 19 1 11 1 11 8 7 3 i 7 3i . 04 1 « 1 1 • 1 10 10 1 12 (i ' 7 5.^ I K.i 2i 19 19 1 13 3 ' 7 8 1 1 24 20 I 13 4 ! 7 8 1 14 a 21 1 15 s 0:1 1 1^ 3 22 1 16 8 1 8 5:i i I 2J 34 23 1 18 4 8 10 13 Si Si 24 25 2 2 1 8 9 2; 9 7i I 34 I 4i >, ■Sk r it % 121 NoViU, yysTio.^r i'ta •. £■ f. d. 25 1 2(5 26 10 27 28 29 SO 4:- .'( d '< 2 a 4 ^ •i 2 2 5 2 () 8 2 8 4 2 10 H'ct k. Day. £ t d. £ n'. d 3 84 1 -Ji !0 1 ft 10 2.! 1 hk 10 4i I 6i 10 9 1 (Ji 11 U 1 7 11 Gl 1 V^l J^o'c, As the exact sum per day or wceU cannot be arrivod at wit'i jiit introducing a use!oj3 iVaction n-o have given the price per d-iy the advantage o'' the fraction in some i:istanccs, Day. £ d. •«i ft •)4 u 5i (y\ 7 u r^i i cnnn 3l bo Vact ioti , "'" Ujre o!" tljo FROM RICIISON'S MENTAL AIUTHMETIC AND EXPEDITIOUS CALCULATIONS. EXERCISE I. How many twelves in 8i? How many twelves in 24? How many twelves in fiO? How many twelves in^lOB? How many twelves in 144? How many twelves in 3t5? How many twelves in 48? How many twelves in Tit Hovy many twelves in 120? How many twelves in 96? EXERCISE H. Rule. As many pence as one thing is worth- so many shillings are twelve worth. 12 papers rf nails al Qd. each. One paper being worth 3 i'Ence, r2 papers are worth 8 shilling* 12 pounds of wax candles al 2s. Id. per pound. One pound being worth 28. 7d., that is • .31 pence, 12 pounds are worth 31 sHU.ti.Nos. ; f hi \i 1 's' '^ NOVEL SYSTC.M 12 yardg of cotton print at Cd per varil> . 12 yardg of riband at Il(/. per yard' 12 yardsoffloIlandatlOcZ. per yard > 12 yards of calico at 4d. per yard? 12 yardgofbaiz-at 14,i, per yard' 12yard.ofloni..e|otI.atl,.'M per yard' '2 lbs. of butter at Ukl. perpou-.d? 12 pairs of jrlovcs at 1.,, 4d. per p^iir = 12 bushels of pollard at 20d per busb.lf 12 logs of wood at Is. 8J. per lo.r? I "2 lowls at 30d. eacli? " 12 IjooIcs at 2s. 67. eac-h? 12 pairs of shoes at os, per pair' '; P"''"' "f children's socks at Is. 3d. per pair.' 12 caps at Ss. Gd. each.' 12 lbs. of cheese at lOi. p.-r pound? '2 pecks of peas at U. 5d. per pock.' '^ lbs. ofsal.-n„nat Is. Ud. per pound.' - ^'^'■'^^ •'^ ""cd ba-ze at 2s. 2d. per yard' '^ trus.ses of, hay at Is 4d. per truss.' ' ; '"'^''"'^ "f stra^v at Ss. 8d. per trus.s.' ' - S«ll"»s of ginger wine at 8s. per gallon - 1 2 nrkins of table ale at 9s. 6d. per firkin.' I have bought 12 pigeons at Is. .3i. each; (he l"!l delivered is 16,5. 1,/; is that correct.' I wi.h to know how much money I need put into my purso to purchase a dozen buckles at 4s. Od. each? -s- J'l , what should I pay for l.»? So:,t half a sovereijjn to purchase a leg of mutton -"g'nng 12 pounds, at 3,1 per pound, how much «iiange shoul.i r hav3? The baker-. biU thi. woek includes 12 peck loaves. nt ^ nd. each. Me hns made the amount ^1 l], cd M tbaf corrcci' n OF ARITHMETIC. 131 Employed a man in my garden 12 days at 3j. Gd. per day, how much must I puy him? Saw 12 turkeys hanging in a poulterer's shop, how much would Lc their worth supposing they average 9s. G(i. each? EXERCISE III. Rule. As many shillings as twelve articles are worth — so many pence is one wortli . Bought 12 newspapers fur Is.^ how much was that each.' 12 papers being worth 7 shillings, 1 paper will be worth 7 FENCE. If I pay 85. for 12 pigeons, how much will one cost? Suppose 12 maps cost I63., what was the charge for one ? For how much may I purchase a mackarel, when a dozen are worth 7s.? If 12 pairs of shoes cost 48s., what was that per pair? What must 1 pay for a bible, when 12 are sold for 50s.? Bought 12 gallons of cider for a pound, how much is that per gallon? Received 3s. for a dozen glass bottlea, how much was that for each? ! ''I •1 II \i 132 NOVEL SYSTEM uv [1 Paul £l lOs. for -i dozfn guitar strings, what wan that for each? Gave £0 uu. for 12 pine opplea. how much wu. the cost of one? A ilozon barrcia of oyatcrs cost £3, how much was that for one? 12 geese cost £3 \23 , what was the price of one? 12 ducks were bought for £ 1 Gs., what was the charge for one? Paid £6 for a dozen hats, how much is that each? If I pay lOj. for 12 yards of Holland, what is that p by the 6 J L 18». Take the Qs. as pence, you have the answer. 8rf. If a gross of papers of pins be bought for 4 guineas, wliat was the charj:o per paper? A gross equals 12 times 12, Therefore the 4 guineas rt &4s. niui=t be ) divided by 12 ^ 12)84^. Consider the 7s. to be 7 rr:.\cE, you have ) the answer ^ jd. Paid c£) 4,9. for 48 pairs of scissors, how much was that per paii .' A ilphmoMg-r paid £3 ^s. lor 72 lobsters, wh:it did that cost him t-acli ' If 84 bodkin-cases arc worth £[ 15s , what is tlio value of one.' If a news-vender demands 3Gs. for thd use of a daily paper si.v months, how much does he characncr ueck"? 13 ' If 134 NOVEL SYSTEM % Paid 12s. for a box of mould candles; there were 13 pounds, and four candles to the pound; what was th > value of one? For 48 chair covers I paid£l 16a., I desire to know the cost of each? Bought half a gross of vvinc-bottles for 18s. what was that each? Paid £7 10s. for 60 brass finger-plates, I wish to know the charge for one? For 120 flower-pots I paid j£2, what did one cost? Bought 36 work-bo.xes for JE13 10s., what is the cost of each? Sold 132 old books for £i 19s., what did they ave- rage each? Bought a dinner service of 108 pieces, for which I paid £2 5s., how much was that per piece? A violent shower of hail destroyed 96 glass frames, the estimated damage was £43 Us., how much was that per frame? At Christmas last a stage-coach brought into I.on- don 84 packages, valued at £23 2.s., I desire to know the average' A stand of 72 flowers in Covent-garden market was estimated at JE16 10s., I wish to know the average? If I pay one of my servants after the rate of j£lO per annum, and she quit my establishment at the end of one month, hov/ much nmy she demand? Suppose an undcr-gardener is paid after the rate of tl4 per annum; if he leave his situation at the end of two months, what wages are due to him? What may a tbotman demand as a month's wages wlien his salary is £20 per annum? If a butler's wages be i234a-ycar, how much will be due to him at the end of a month? cie were 18 liat was tho iire to know Is. what was , I wisli to one cost? t is the cost lid they ave- for which I ;lass frames, uch was that t into I.on- siro to know market was average ? of jEIO per ; the end of 3r the rate of at the end of onth's wages iw much will OF ARITHMETIC. EXERCISK V. 13S The value of any number of articles, nut an exact multiple of 12, being given; to find tho value ofr;,i.:. R tJLE. 1 Reckon the 7iuinbcr of articles pence. 2. If these pence amount to shillings and pence, ihvidi the sliillings of the given value by tho uhiilin as: an; th 3 pence also by the pence. 3. If both the pence and shillings give th duct, tlial number is the val pence. THUS, o same pro- ue of one article in If 85 lamp-glasses be bought for £'i Qs. Id., what m the cost of one? Take the glasses as pe\ce, then- •• •Qdd. are 7s. Id ^ ) £2 9s. Id. arc 49s, Id. <, Divide the 49s. by the 7s. Divide the Id. by the Id. as follows: — 7)49 1)7 7 1 Hero observe tiio product of both divisiong ;s '. therefore the value of o.ve lamp-glas;:- is Id. Purchased 107 pieces of painted glass for £4 ()*, n..'., what was the cost of one? The pieces as ponce lOld. arc Qs. I Id. } £i Os. ."3^. are 80s. 3;/. < 8s. lkZ,)aOs. 3d. 9 J. 9d. Therefore Dd is the value of one, * Inspection of ihc above, where tho anioui.ls are plac.^l (jv,.r oru' ;..■.„- ili.-r, roMdcrs the c-Uenlatioii mn^cc^i^xiy, as it c.w l.o aecii at omr ih.u 7 "^ tlio product of holh. ?! m 186 NOVEL SYSTEM ^ m. 1 J Remark here that the eights in 80 are exactly 10; but then the 11 could not bo divided into 3. Iain therefore obliged to make the puoouct of the first division one less, in order to carry thi. surplus shil- lings to the pence and produce a number, into which 11 may divide. Bought at a sale a lot of tumblers, for which I paid £l 18s. 6d. On counting them I discovered there were 42 glasses, what did each cost? 42rf. are 3s. 6d. > £1 188. 6d. are 38s. 6d. \ 3s. 6d.).'38s. Gd. 11 II Therefore lid. each I am here also obliged to reduce the product of the first division — otherwise Dividing by 3 into 38 would produce 12s. and two over. The division of 6 into 2s. Gd. or 30d. would produce 5d. But as both shillings and pence must produce the tame number to bo correct, this can be effected only by the reduction just stated. Observe, By a little attention, the value of one article may be nearly ascertained on inspection. THUS, If 42 tumblers be bought for £ 1 18s. 6d., what is the price of one. ^ 42d. or 3s Gd. \ 38s. Gd. 11 388. Gd. OF ARITilMEl'If, ni exactly 10; o 3. I am of the first urplus shil- into which hich I paid reved there By inspection I see the 3s. is contained i'2 tiincs iu 38. But making allowance for tlio division of tlie si\ pence, I take 11 as the supposed quotient. Multiplyin Paid 13s. Gd. for 27 yards of box, what was that per yard? A bill for 53 quarts of milk is 19?. 4d., what is that per quart? How much am I charged per ton for cartage if iho carriage of 107 tons of stone cost £3. 2s. 5d. ? Snppo.^-,"; a man contract to lay 91 feet of railway for £3. Os. 8d., how much is that per foot? What do I pay for a gooseberry-bush if 115 cost me jE4 15s. lOt/. ? If 83 pickled tongues cost £3 2s. 3c/., how mucli is that eauh? m m 'I I ''M 183 NOVEL SYSTEM EXERCISE Vr. To find the value oC one article, when the price is known of any number, not a multiple of 12. Rule. J . TaKO tlio number cf articles as pence, and brinrr them into shillings for a divisor. 2. If the divisor, thus produced, be contained any number of times less than 12, in the shillings of the given value, proceed as directed in the Obsertmtion under Exercise V., and you have the answer in pence. Remark, If the multiplier do not produce the exact amount, Consider, for a moment, whether it is deficient about a quarter, a half, or Uiree quarters of the line mul- tiplied, and make an addition accordingly for the farthings, THUS, If 17s. 2|d. will purchase 59 pounds of brass, how much is that per pound? 59rf.=4s. lid.) lis. 2irf. 3 ( the multiplier to be counted I pence in the answer. }, of 4s. lid. 14 9 •2 5^ 17 2i Atis. 3hd. In this exurnnlc, I first write the nuinbor of articles, taken as pence, by the side of tlic given value. On inspection, I perceive 43. will divide 4 times into 17,<;,; but allowing for the division by lid., I take 3 InHtoad and multiply thcicby. OF ARITHMETIC. 189 tie price is of 12. and bring tained any ings of the Obsei'vntion answer in t amount, ;ient about a line mul- igiy for tlic )rass, how be counted iswer . of articles, JC. times into I take 3 After this multiplication, I see there is a difierenco of nearly 3s. between I4s. 9d. and 17s. Q^d. I may suppose tlie difference is about lifil/Ai I Id. I accordingly tako the half, and on adding the pro- duct to !4s. 9a I find the e.vact amount Therefore, the price of 1 pound is 3;]-rf, If I can purchase 107 pounds of rice for £2 llg. 5^d. how much is that per pound.' 107fZ.=8s. lid.) bis. S\d. or £2 Us. 3J-d. 5 ( the inuh.ipli(;r to he reckoned I dd. in the answer. 2 4 7 ~ -5 ) 4 £'l 1 ] 3\ Jlns. old. Here again I see, on inspocticn, that ?, would divide G times into .Ols.; but allowing for the division by 11, I tako only 5 for the multiplier. The product is £2 4s. Id., and I perceive I want nearly 7s. to make £2 lis 3\d. I may therefore (airly calculate that the price will be I more than 5 pence, and proceed accordingly. I take half of the top line for a halfpenny — and the half ot^ that product for a fn-thing. Adding those three products together, I find the amounts coincide, — and consequently conclude that the price of 1 pound is 5;M. Both these examples might be worked by subtract- ing the product of the pence from the given value, and then exun-.ining the proportion existing between the remainder and the divhor. THUS, is. lid. 3 14 9 ) 17s. 2l(«. 14 & The product of the pence. 2 5^ The remainder is A of 4s, llr/. Ms. 3 Id. MO NOVKL SYSTEM Tlic aJvaiUa'Te oftiiis method "2s. 5}^d. with 'Is. lid., I is ^ of the latter. 13, thiit by cumpaiiiig SCO immediately the tbrnier Th when rcf certainty operation may therefore bo performeu .nentullv, [uisite— or if by written li^^'ure.^, with grer.t'ci' 8,?. l\d. ) 5l3.3\d. '11 7 Here I car G y| ec that (;«. 8;[(f must be about ;" of 84. lid. — as it 1:3 evidei,tl_y iu:.;(! than ^ To satisfy myself I take tiic half of 8s. lid., which is And again the half ol' t'lal ainoiint, viz. . . • 2 "2^ U. o{d. Producing together the required sum • •• . G li\ Oh 'jserce. If the n^imbev of arliclcs be less than t!ie number of shillings in the given value. III First, divide into the shillings by the ivhole number of articles — the quotient is the .s/u/Ziho-s of the answer. Then proceed with the remainder, as directed under the last rule, and you have the remaining answer in pence and fnikings. THUS, If 7G packing-case-s cost £0 8s. 5d., how much was paid for one.'' 76)188s. 5d. or £9 8s. 5d.(2».5Sd. 152 7Ga3pence=6s. !.-atisfaction,as I can immudiate- 1 1^ ) jy perceive Is, Ihd. is ;\ of4.s.6i/. Dividing by 54, the number of article.",, I find the shillings are .3. Tliu remainder 10s, l^d., divided by 54, an pence, produce thepe7ice and f^^^'thinga . If 47 pounds of sugar be wortli £1 Is. 6^d,, what is the value of a pound? Suppose I am charged £1 2s. 'ihl. for 82 ounces of ginger, how much is tliat per ounce? If I3s, Q\d. will buy 25 pounds of figs, hor,- much must be paid for 1 pound? If a grocer import G2 pounds of Portugal grapes, and the net invoice amount to £2 14s. 2d , what iis the cost of a pound? If 12s. d\d will purchase 41 pen-holders, how much wou'J one cost at the same rate? 112 -N'OVEI. SYSTEM 'I I 4-i! l! If I orders? pninids of currants and find rn; bill anioiintato £ 1 Gs. 2V/., how much am I char-od per pound? ° ' If a hosier desire to sell 71 pairs of gloves for i"- 173. G^d., how much must be ciiarged peV pair' What is the worth of a pound of loaf su'^ar, if i.) pounds cost £2 Os. Wd. Paid *ll Is. nhl. for 31 drawin'r-penciia, how much was tiiat cach.^ ^ {fl may purchase G.T pounds ofclieese for £2 lis. od., how much would that be per pound? Bought a quantity ofhaaia weighincr 73 pounds, I am charged for the whole £2 Is. lU., 1 desire to know the cost per pound? Bought 30 pounds of fresh butter for £1 los. lU., how much is tiiat per pound? How much is the worth of a pound of Xormandv pippins, ifj;l 63. 8(/. be paid for 10 pounds? Paid £l 4.S. Oj|rZ. for 21 pounds of cocoa, what is the cost of a pound? At what rate per pound do I purchase coflec, when T'J pounds cost X8 4s. O'^d. If £l 1 17s Gd. will purchase ,>7 siik handkerchiefs, what is the price of one? \\ha* must I pay for a hono snoposiHf 55 are worth £i lis. 4.ffL? If4G pounds of lard cost .-^ I ICj. gJ., hov/ much would that 1)0 per pound? Suppose XiJ I7». ill. y.\]\ purchase GG pockot- handkcrcMofs, hov.- muc!i rr.u.^t I pay for one? At what r;il' pc-r pound do I purchase glue, if fur o2 pounds I ] ;i / I0.>. If ahont nf nnluion, ccnLaining lOi fish, bo valued at £G 'zs. Ohl , what is that each? If a r^rocer vvijli to obtain £6 Gs. 2\d. for 83 pounds o( candied loinon-nool, how much must he charge per pound.-' OF AHITHMETIC. 148 id rn} bill largcd per gloves for !!• pail? Jgur, if li) liow miicli .)!• £2 12s. pounds, I desire lo 155. 7l(i., S'ormandv 1 . I, what is fee, when kerchiefs, are worth lO'.v much 3 pocI;ct- 10, if fur jc valued 13 pounds large per Vi hut am I charged for a pane ofyhiss, if the cost of 41 panes be £G i2s. l;|ci ? For how much per pound should a pork-butcher sell sausugcs to realize £2 3s. 0\d. by 59 pounds? If, at an auction, I bid £6 73. iOV/. for 93 padlocks, what would be the individual cost? What is stone-blue per pound, if 126 pounds are bought for £15 17s. Ihl. I[o\vmnch is a hammer worth, if for £3 16s. 4j(i. 1 can buy 73 ? Taking the value of a silk stock at 4s , I wish to know how much I have saved individually by purchas- ing 63 stocks for -CO I5s. (i^d. ? Tf a poulterer purchase 80 pigeons for £2 10s., how niucii does he gain individually by selling them at V>d. each ? VVliat does a work-box cost if £ 1* 4s. 8,^-cZ. be paid for 8 1 ? Hoiifrht 29 dozen of ivory counters for IGs. 3^d , how much was that per dozen? If a chost of hyson tea, co .ining 107 pounds, be sold for jE37 17s. J Id . how much is that per pound? Suppose a cabinet-maker charge £11 Is. 4d. for 6 4 foot-stools, how much is that each? If a pedlar buy 118 shaving-boxes for £5 10s. l^d. and sell them at Is. per bo.\, what is the gain on oach? How much does a bird-trap cost if £3 19s, 6hd. bo paid for 46 ? For hov/ much may I buy a half-pint mug, if 54 are worth 15s 'Jd. ? Paid JEIO IGs, lid. for 76 cigar-cases, how much was that each? What is the cost of a peck of oats, if ■£ 4 lis. O^d. be paid for 95 pecks? What arc slippers per pair, when Bo pairs cost £S 12s.? When the value of 44 trusses of hay is £8 17s, lOt/ , how much is the worth of a truss? l44 NOVEL SYSTEM If 39 sheets of engraved " lines" cost 13s. 9|d , what is that per sheet? If an iron-monger purchase 74 rakes for £6 15s. 8'^ and sell them again for 2s. each, how much is the in- dividual srain? What is a publican't. profit on a «]uart of vinegar, supposing he sells that quantity for Is., when 110 quarts cost him ii4 9s, 4^^. ? If JE13 6s. 6d. be paid for 62 pounds of mixed tea, how much is that per pound.' What are almonds per pound, if £3 Is. 2Jd. are paid for 26 pounds.' If I pay £3 Ss. 3^d. for 98 pounds of soap, how much is that per pound.'' If a milliner pay jE7 5s. lOd. for 70 yards of silk, how much is she charged per yard? What is beef per pound, if 1 13 pounds are worth £3 ]g. 2J(i. J, THE END. CHARI.OTTKTOWS: PniNTED BY JAMKS D. H.VSZAHn,