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Lorsque le document est trop grand pour dtre reproduit en un seul clich6, il est filmd d partir de Tangle supdrieur gauche, de gauche d droite, et de haut on bas, on prenant le nombre d'images n^cessaire. Les diagrammes suivants illustrent la m§thode. 1 2 3 1 2 3 4 5 6 J ).\ fl Oni 11 ).} ft HUOBLEMS IN COMMERCUL ililTtlMSTIC I'UEI'ARKIJ FOU USE IN BUSINESS COLLEGES uv t M. S. CARL, One op the Propiuetoiis op t ie St. Thomas Bi'sinbss CoLLECJB, Sr. Thomas, Ont. PUHLISHED BY PHILLIPS & GAEL, St. Thomas, Ont. 180L on prepared. i> n- to I'll 1(1 n- CONTENTS. Common Fractions Decimal Fractions j.2 Denominate Numbers ,- Percentage . - Profit and Loss n- Trade Discount ' 94 Commission „,. Simple Interest 29 Compound Interest u!> Present Worth and True Discount ....".. at Bank Discount | ' L Partial Payments \q Stocks and Bonds ^q Fire Insurance. .,, '^'^^«- •••■•^••'^^i^^^^!^^!!!!!';;;!' 49 Duties and Customs ro Exchange I. Simple and Compound Proportion 5f; Storage * Bui'iation of Payments J.q Averaging Accounts ^3 Cash Balance ,,,. Bankruptcy .^ Partnership . _,^ -_, . ^ 03 lbs., the second 19G8}| lbs., the third 187(5ijJ lbs. How many lbs. less than three tons were there? 10. A can do a piece of work in 3 days, B in 4 days, and C in o days. In what time can they do the work together ? 11. 2 of ^\ of a cargo was destroyed by fire, and h of S of the remainder was damaged by water. What jmrt^of the v/hole cargo remained uninjured ? 12. A gentleman divided '^ of a lb. of candv between his two boys, and ^ of the remainder among his three girls How- much more candy did each boy receive than each 13 A barrel has three faucets. If the largest is oi)ened, the barrel will be emptied in 8 minutes; if the smallesv, only IS opened, it will be emptied in 14 minutes, and if the (.ther only IS opened, it will be emptied in 10 minutes. In what time will the barrel oe emptied, if the three faucets are ( peneJ together? 14. If 18 men will consume | of a barrel of flour in G ^ays, in how many days will 16 men consume A of a barrel? la 15. I can buy 16:| lbs. of butter for S2.«0:|, or 17J lbs. for §2.75. Which is the cheajier butter? How much would I save by purchasing llOJ lbs. at the cheaper price? IB. Find a fraction equivalent to i«, , and having its numerator 3B greater than its denominator. 17. A house and lot cost $1760; the house cost IJ times what the lot cost What was the cost of each ? 18. If A can do a piece of work in 3;^ days, and A and B together can do it in 2.^ days, in what time can B do it working aione ? COMMON t\'tA(;rio\s. ^ la Theprofitsof agarilenfortwo yoars woreSUO. Thn profits the fir.^t year were ^ of those of tJie second What w(>re the profits of each year ? 20. Find the L. C. M. of 1(5:^, 18^, uiid m. 21. Find the vahie of 12i cwt. +!(!:* It is. +12,'. m. of -old at §20^ an oz. ~ o 22. I had mi and divided it equally among a number of boys, givmg each boy U^ How many boys wore there ? 2:J. If A has ji as much money as B, wliat fraction of the total nount has each ? 21. A, B and C own a farm. If A owns ^ of the farm, and B owns i as much as A, what part of the farm does C own ? 2.-). A and B being 117^ miles apart, started towards each other, A travelling at the rate of H] miles an hour, and B at the rate of 2^ miles an hour. How far aparl will they be at the end of lOJ hours ? 2). A man invested ■} of his money iu bank stock, ij of what remained in real estate, and deposited % of what still remained in the bank. Whit part of his money had he 27. If 3 of a dozen of eggs cost [I of a dollar, what will 2 of a dozen cost ? 28. If colTee loses one-sixth in roasting, how much green colTee must I use to obtain 2t tt,s. of roasted colToe? 29. A man travelled in one direction for 18] hours, at the rate of 2^ miles an hour. How long will it take him to return to the place of starting, if he travels at the rate of '^l miles an hour V HO. A and B have fH cents. If A has a as much as B, how much has each ? 10 ('OMMON FRACTIONS. -vorking tcgethor y """ °™ "'"y <="' a cord; •J2. A .starts from S<- Th hours later B ,Urt» fro,. Wo2 , 1' s" tT "'"' """ « rate of 2J „i,e, ^ h„,,. Who ro „■ U ft '""' "' ""' his arrival at Wollan.1 ,".,'"" ""=y ">oot V If, «„ -urn ,our.e, at t, ™LV« : t'l" w"'^ f" "^ "" ^'^ lio overtake B y '""os an hour, where would '^'^. A farmer had 427 acres '2 r«, j o. x. '"■;: "' ""* - «-" «■•■•'■ Ho„. n.uo',iSr:-te^ ton ' ''■'"'* " "'" ™"'" '" ' 'on. ^28 owt of hay at SIJ a »'- it :'::■ I :i,;» „t™'-- ■-k^.s * ,™„„. -rousing it tho other wav. F M?^: ! ' ™™'"'i™« h. flow. - *'"''*honnmbornf aorosintho '^>. If A lost orie-fiffcli of k;, t."o-fl,ths as muoh „sB ItthTT ^' """"^ *™ havo n- a.... D has ,m how nu.eh^Jr; h": aT'' ' " ""* "» H7. DivHo !lo cents among A B an,] c -ve half as n™„h again af B. .Jt^Z ^^ sixLtLttr;, a,T^f''h r" "* ™'* «"«- worth sevon^^ighths as much as B Ro """'''■,''° ™"''* "» each? "inn as B. Ho,v much money has •*• J '""'Sht 240 gallons of wine at «•> -.n pai.i S2r, for freight etc It <■ Lt " gallon, and ago, at what Price Ir "alloVr 1 1 "' " '*' "^' "^ '"ak- net a „ro«t j^^jz^Tz:::^ x^S!:^ ^" - - COMMON FUA(!TIONS. 11 K». I ,riark(Ml an arfcic,l(. at an a.lvanc,,. of two-fifths of the (-.nst an.l then sc.ld it for thm-fifths of the n.ark.vl urU-r. \\ hat fractional part of the cost did I lose ? ■H. A merchant fails owino^ §2K)(), an.l pays his crclitors M.. (ionts on the dollar. How mucli will be h,st l,v a cred- itor to whom threo-eighths of the debt was owing? " 4-2. A sold an article to B and gained ,^. B sold it to C and gamed ]. C spent .$50 in repairs and sold it to D for .>108 and gamed one-fifth. How nuich more did A pay for the article than D? "^ m By selling cloth at S2.5() a yard. I gain one-half as mucli as I would lose by selling it at 82.2;} a yard How much would I lose by selling 210 yards at .^2.87^ a yard? 41. A train leavas St. Thomas at the rat., of ;-}7.V miles an iH.ur. Forty minutes later a sec-,ond train leav'es in the same direction at the rate of oO miles an hour. If the sc.-ond train is delayed eight minutes at the first station, at what •iHtance from St. Thomas will it overtake the first train? 45. A person dies and leaves ^ of his property to his wife 4 to each of his two s.2;U lbs., 21.17<;2 lbs., .o;H lbs and 110.12128 lbs. ? 2. What is the rlifferGnro between 10.012 anrl l.OOiKjy 3. Multiply 8. 0(U by .012. 4. Divide. 031)251 by .1X325. 5. Reduce the following fractions to decimals: a 7 i anfi 13|. *■ "' ""' 0. Reduce the following decimals to fractions in their lowest terms: .0025, .201, 30.125, .0005, and .01228. 7. What is the cost of .Of)25 tons of hay, at SO. 25 a ton ? H. Divide .75 into two parts, so that one will be .0025 more than the other. J). A, B and C own a farm. If A owns .25 of it, and B .2.) of the remainder, what part of the farm does own ? 10. The diflference between two numbers is .0025 If the larger numl>er is 14.051, what is the sum of the numbers? 11. A man had $1.00, and spent. 35 of it. How much monay had he left ? 12. If .25 of a job of work can be done in 4.0305 days in vhat time can , 35 of it be done ? 13. Multiply the difference between .001 and 1.00 bv their sum. 14. A man withdrew from the bank. 25 of his deposit and then .25 of what remained. If his total withdrawals an.ounted to $287. how much had he still remaining on dej)osit y ° DKCIMAL FRACTION'S. IB lo. A gentleman bequeathe 1 . 35 of his projierty to his wife, .25 to his son, .15 to eaoh of his two daugliters, and the remainder, amounting to .SH7W, to an orphan asylum. How much did each of the daughtei-s receive ? Ki. The sum of six addends is 277.271. If four of the addends are ^18.01)25, 22. OIB, 08.0125. and (iO.OOl. aii.l th.. dilTerenco between the other two is 21.015, what are the fifth and sixth addends V 17. I bought 7 bags of wheat, weighing respectively 110.035. 1(50.025, 118.2, 150.21.5. 1«20. U(}. l:}0.4, and i:i2 014 lbs. . at i^L 12 a bushel. Alh.wing 7. B(J5 lbs. for the wei-ht of the bags, what did I pay for the wheat ? 18. A added 24.025 acres to his farm, and B 12.025 acres to his farm. It was then found that A had .()(i25 acivs more than B. If they together have B(;0.005 acres, how nmch had each at first ? 10. AandB are 2(](;.25 mile, aparfc, and walk towarIO<;iMAI. I'UACnoNs. .orphan asyluui. H.- fh,.,. ... J i f "'"'"'^ ^'^ "" 01 his thrcH' sons. VVImf * >■ i ■ v> riat piuf ol luH riH.noy Imd lie left ? ,).>-, TT ^'•"'•"»y.OJ„, I shotiM have aM. H .any w.^ ^^.^t ^^ 32. A man .,an walk }8,25 nM-|(« in .02;-. of 121. Kl ,lays of 10 hours oa,.,h. How far can 1... walk in H hours ? Ha The pro.luct of two numhern in .mmi2r>. One of the immbei-s is .025. What i< tU,. - .i , ^'"^^ ^"« oonviio-. * ''''"'^' "'"nhery Reduce •3d and £7 4s. o(L "* ' ' 2 A man bought 13 reams of paper, at 81.80 a ream, and sole It at the rate of sheets for 5 cents. How mucli did he make ? 3. What is the cost IHO feet of wowl at S2.40 a cord ? 4. A man worked from 12 o'clock, Monday noon, to 12 mmutes past 3, Tuesday aftemo,m, and received in payment one-thn-ns for 80 ronts. an.l sold them at the rate of 8 pens for 2 cents. How mucdi did I make ? IH. A man bought It gals, of milk at 14 cents a gal., and added a pint of water to each gal. If he sold the milk at ;).V cents a quart, how much did he make V 1J>. A man (^an walk 1 mile 8 rods G ft. in 1 ho,ir 10 min How far can he walk in 2 hours 20 minutes ? 20. Reduce §9(5 to £ s. d.. and €7 8.. ri of wine y I o • 22. A ring 18 carats fine weighs 18 pwt. Makino- i,f) allowance for alloy, what is it worth, if pure gold is worth 820 an nx '? 28. What is the time in days from Dec. 12, 1880, to .Tan. 1.1883; also the time in minutes from 20 minutes' past 12* Monday noon, to 8 minut-s to seven, Wednevlav morn- ing ? 24. A note drawn Tan. 1.5, 1892, at 90 days, was paid Mar. 1. Making no allowance for days of grace, find how long before due the note was paid. 25. The capacity of a certain mill is 48 bbls. of flour a day. If each bbl. holds 190 lbs. of flour, and each bushel of wheat makes 42 lbs. of flour, how many bushels of wheat will the mill use in H days ? . 26. Find the number of acres in a farm five-eigliths of a mile long by J a mile wide. PERfEXTAOE. 17 PERCENTAGE. 1. A man »i)ent §3(54.00 for a lot, and 25 per cent, more than that sum for a house. How much did he pay for both '? "^ -^ 2. A meroliant bought 8(J0 lbs. of tea at 37ie. a lb. , and paid 10 per (^ent. of the purchase money down.^ How much did he still owe ? 3. A farm crmtains 1G80 acres. 12 per cent, of it is planted with corn, 10 7^ of the remainder with beans, and 33^ per cent of what still remained with potatoes. How many acres of potatoes were there ? 4. A testator died leaving 12i per cent, of his proiierty to his eldest son, l(i;^ 7^ to each of his three daughters, and the remamder to be divided equally between the other two sons. If the youngest son received .S275i more than the eldest, how much did each of the daughters receive ? o. A farmer owned 680 acres of land, and sold 42 acres. What per cent, of his original farm had he left ? ug.^y. p.vin-^ 10 /„ less f.>r the horse than for the buggv. How nu ^ 1 ho pay for each ? ^' ^"^ " '''' 14. The sales of a firm inereasel 20 ^/^, the first year 25 /the secon.l, and 82 7. the third year. What wen thc'r ^ta^^es for the thn. yea., if their third year's sales ^Z thaiiO. What-/, of A's money is O's? 18. If coiroo tae, V2 7. in roasting, how n,uoh gmm mir™ mmt, I „«, to obtain I KW lbs. „f roaster! oolTee ? ,.lenr;it!T ' "*'""''■'' --y '"^ ">e h„r*, and in.- made 81, ,„„re than A, what did A „ay for the ar I'KRCKNrAOK. lit IXT 21. A iiuiu pai.l mi a month for l)oarn (.nahl.xl to savo AU a month. What por cent, of his wag.s r cent, oji sidling pnca What i)or cent of the cost did I make ? 2a The sali^ of a firm increased 20 ]x^r cent, tlie first year, ir,;^ jK>r cent, the seccmd year, and decreased 10 jjcr <'ent the third year. The total" sah^s of the thre.> years amounted to SlU'.OO. What were their sale, for 'each year V 21. If MO i)er cent of A's monev equals 20 percent of B's, an.l A has mr, less than B, how nmch monev has each ? 2.'.. A father and son together hired a man to do a j)iece of work. th(! agre(unent lieing that the fatlier was to pay 20 l)er cent, more than the soti. On the comi)letion of the jr.b It was found that the father liad j^aid *11 and the son m. How much should the father pay the son ? 2(5. A young man's salary increased HO per cent, every year; his exix)nses each year were HO per cent, of his salary; and at the end of 8 years he had saved )5!720.9(). Find his salary for the thii-d y(>ar. 27. A has 20 ^/^ more money than R If B earns §-"), how much must A earn so that he mav still have 20 ®/o more than B? 28. In a certain school there were 20 ©'^ more pupils in the junior than the senior class. Five pupils were pro- mote!, and there were then 20 per cent, less pupils in the .iunior class than in the senior. How many pupils were there in each class at first ? 29. A man lost 40 o/^ of his money, and then lost .$10 more than 40 per cent, of what he had left. If his total 20 VEUrKSTMiE. ?! l'".l .'UH, „t H„t , '" '' •" ° '"""■ "'"" "■ "■.«• ..",,.1, y«- >' t,„. i,,:;^: ;.„::,;:;;:;:' *•;'■";» '"»'• year. „.,„., was tl. ,« ,„,„„ a, ' « .'I rT ' ""' yoar. 'Hfeuirnii- ,,( the first haseacli? '"*'" '^^"fi" A. iiow nmdi •i:-^. A man wltblnnv 2*) ' ,,f i,;. i . , ir the .ui^e :l: r if::;;;; 'ry'r''^ ' '''''''''■ bank ? "'"•'^ ^^^'^ hf. ivmainin- in -hould I have pai.l ? ^ *"' '"'"'''• "'•^^- "'"^x »'^- If anunilxM' I)e increased 8 «/o nn.l +», l>rodnoofl be increa-^^erl 8 «/ H ' ^"^ '''"'' ^^^^^ the n.nnher. ' '^"^ "'^''"'^ ^^'''^ ^^ 17J9j>. Find ii<). A spt>culatf)r rained '>()<>/„ o.. fi ">ve.st,„„„t, a„,| lostlo p. ,;„t : ™ ""■-*'"■"«■ "f I.- wt profit. „,,,, SI,),)) wi , , , , ■'<""'"""«■• »•"! W'' 1-1 1.. 1... 10 „;;;;:,, .:::,!;:'", -7 ^^■■'^ '■-« -uit a-. gai„„,l 257, on th. ,.,.,alu,i..;r ' '"" "'™'""'="'- •^7. In a certain election A nnri n «l.n intenderl to vote I/a ■ , ''" '"™' '■"»"■'■'■■ "'all'*,., otherwise TwouU t '"'"'™''^"".V "Poilo'l their tl.an n. If 31 o' „, ""'^, """^ ■•«*'™'l 22 »/. more vote, -■•™.ve,i:::rtrrthti:-i-:;r'-- If PHOFfT AND I.OHS tl PROFIT AND LOSS. 1. Ibouijlit an artiHo for §11.20, and sold it at 10 jx-r ront. })n)lit. How iimcli did I obtain for it? 2. I sold an article which cost $21 ff.r «H2.(;o. Wli it was my jx^r cent of i)rofit V •J. A man sold a house and lot lor S'ilOo, jjainin" 20 */o on sellin- price. What per ceur,. i .-ofit did lie make on tlio • cost ? I A speculator sold 300 bushels of wheat for $2r>{, thei-o- by makin- a profit of 10°/o on co.> . What was the cost ix>r bushed ? o. By soiling a horse for 8300 I lost s2t. What jier vont. of cost did I lone? 0. A merchant sold an article for ijsi. tlion-bv making 10«/ooucost. For what shouM he h;. ve sold it to make 20 o/o on cost ? 7. I bought 2 houses for fKJOO each. )n the f>ne I made a i)rofit of 20 "»/o on cost, and on the oi iier lost ID *»/o of cost. Find my net gain. a A gentleman sold an article at 21 «»/o refit, and there- by gained S7. 20. What did he obtain for t e article ? 9. A stationer bought 7 reams of paper a S3. 00 a ream, and sold it at the rate of (i sheets for 5 cents. What was his per cent, of profit ? 10. A man sold 40 bushels of oats for $13, and by so doing lost ()0 cents. What was the cost per I ashel ? 11. A merchant lost 20 per cent, of a cargo .f goods, and sold the remainder at a profit of 30"/o. Did he gain or lose ? .'w 22 PROFIT AND LOSS. f 12. 1 of my sales are on credit. If 10 jw cent, of the accounts prove worthless, at what i^er cent, advance on cost must I mark goods in order to net a profit of 25 7^ ? IB. A man sold two horses for $210 each. He gained 25 7„ on the one, and lost 20 7„ on the other. Did he gain or lose, and if so, how much ? 14. I i-eceived from Toronto a bill of goods amounting to 8180, freight, etc., mA7 additional. What must I sell them for to net a profit of 107^ on selling price ? 15. A speculator bought two horses for the same price each. He soM one at a profit of .S5 °/^ . and the other at a loss of 287^. If his net gain was .f2l.70, what did he obtain for each horse ? 10. A sold an article to B at a gain of 10 "/^ , B sold it to C at a gain of 15 "/^ , and C sold it at a loss of 12 7„ . If C obtained S278.80 more for the article than A paid for it, how much did it cost B ? ^^ 17. What must he the asking price of cloth which cost SB a yard, in order that I can throw off 10 7, of marked price and still gain 25 7„ on the cost ? 18. I sold ^ of a consignment for J of cost of whole. What was my per cent, of profit '? 19. A grocer bought sugar at ?8 a cwt. Supposing i 7, to be lost in handling, how many lbs. must he give for $1 in order to make a profit of 12^ "/o on cost ? 20. If a house increase in value 10*»/o the first year, 15 «»/o the second, and 25 °/^ the third year, and is "^then worth $BG43.20, what was the value at the beginning of the first year ? the sells 21. A man bought sugar at 3J cts. a lb., and sold it at • i of 18 lbs. for a dollar. By using a false weight he oz. for a lb. What was his per cent, of profit ? PROFIT AND LOSa 23 22. I sold an article for ^1().20, an.l by so floing lost $2.80. What i)er cent of the cost did I lose V 23. At what ixir cent, above cost must a man mark goods so that he can throw olT 25 <>/^ of the marked price and still gain 25 °/^ on cost ? 24. ^What per cent, is lost by marking goods at a profit of 20 "/^ , and then giving a dis^count of 20 °; '> 25. A man sold ^ of a quantity f.f goods for '^ of the cost of the whole. Find his gain or loss ijer cent. 2(). A man sold two houses for 610(J0 each. On the one he ^gained 20 7„ of the cost, and on the other he lost 20 °/^ of coat. Find his net gain or loss. 27. A man bought a bbl. of coal oil containing 3(; gals, for S7.20. If 4 gals, be lost by leakage, for how much a gal. must he sell the remainder to net a profit of 25°/^ on the cost of the whole ? ^^28. By selling an article for 89.77^ a merchant makes o 7„ more than he would by selling it for $9.:-55. Find the cost. 29. A merchant bought whiskey at $1.20 a gal. If he adds one quart of water to each gal. of whiskey, for how much a pint must he sell the mixture to make a profit of 100 o/„ ? 30. A man marks his gootls at 25 -/^ profit, and then gives a discount of 10 «»/^ on the marked price. What per cent, profit d(x^s he make? How much would he make on an article marked at (JO cts. V 31. A merchant has two kinds of tea which cost him 35 cts. and 20 cts. resix^ctively. If he mixes the tea in the pi-oportion of 3 lbs. of the dearer tea to '2 lbs. of the che,q|>or tea,^ and sells the mixture at 35 cts. a lb., what jier cent, profit does he make ? -il 24 TRADE DISCOUNT. TRADE DISCOUNT. Find the not selling price : Invoice Price. Discount Off. 1. $040 2. 175 a 150 10, 10, 5 20, 10, 10 ^ 2, 1 Invoice Price. Discount Oil' 4. .SlOO.oO 5. 140.25 0. 180.75 10. o, 5 5, 5 . 20, 10, 5 7. What single discount on the gross co?t is equivalent to discounts thereon of 20 % and 10 °/^ ? 8. What single discount on the gross cost is equivalent to discounts thereon of 25 *>/o , 20 "/o , and 10 «»/o ? 9. At what price must goods be marked to net $8.55 after allowing a discount of 10 «>/o and 5 *»/o ? 10. An article cost $2.40. At what price must it be marked to net a profit of 25 ^/o , after allowing discounts of 25 ®/o and 20 '*/o ? 11. A bookseller allows a discount of 10 7^ for cash, and allows teachers an extra discount of 10 »/„ . What is the ordinary cash price of an article for which the teacher pavs $1.20? ^ 12. What is the difference between 20 "/„ off, and 10 °/„ and 10 % off ? What would be the difference in the cost of an article marked at $2.00 ? 13. A merchant marks goods at a profit of m^ o/^ , and then allows a discount of 5 »/„ . What "/o profit does he make ? 14. A dealer mixes 1 (luart of water with every gallon of whiskey. If the whiskey costs him .*1.2U a gallon, at what Wico. iwr pint must he mark it to allow discounts of TRADE DISCOUNT. 25 25 «/„ and 20 ^/^ , and still make a profit of 25 *»/ on the cost ? ** 15. A merchant sold an article for $1.90, after allowing a discount of 20 «/„ and 5 «/„ . What was the marked price y 16. A tradesman marked an article at 10 7 above cost and then allowed a discount of 10 7, on the marked price.' If by so domg he lost 55 cts. , what did the article cost ? 17. A merchant allowed a discount of 10 7 and 10 7 Had he allowed a discount of 10 7, and 5 7„ , he would have received $1. 90. How much did he receive ? 18. I sold a lot of goods for $180. I sold | of the goods at a discount of 25 7„ and 20 7„ , ^ of them at a discount of ^o /. and 10 / , and the balance at a discount of 12i 7 What was the total discf)unt ? 19. A merchant bought 22 yds. of cloth at $1.20 a yd He marked it at an advance of 20 »/„ on cost, and allowed a discount of 25 "L . If he used a yard measure 'A incV^os too short, find his net gain or Joss. 20. A man bought a barrel of coal oil, containing 85 gala, at20cts. a gal. He marked it at an advance of .•30°/oon cost, and then allowed a discount of 10»/o. If 5 gals, be lost by leakage, find his net gain or loss. _^21. A merchant marked an article at an advance of 20 /o on cost, and then allowed a discount of 10 «»/o and o °/o . What was his net gain or loss per cent ? What would be his net gain or loss on an article which cost 22 At what per cent, advance on cost must a merchant mark goods, so that he can throw off 25 «/o of the marked price and still make a profit of 20 «/o on cost ? If an article cost $1. 50, at what price should it be marked ? '}'■■ I Jli I 111 > 26 COMMISSION. COMMISSION. i!: i 1. A commission merchant sold a consignment of goods for $640.50, and charged IJ "/^ commission. What was the commission ? 2. An agent charged $7 for selling 80 bbls. of applo« If the apples were sold at §2.50 a bbi., v/hat was the rate' i)er cent, of commission ? a A commission merchant sold 80 baskets of peaches, at 7G cts. a basket. If his rate of commission was 2J '*/^ , find the net proceeds of the sale. 4. A fruit buyer received an order to buy 250 bbls. of apples. If he paid U. 10 a bbl. for the apples, and his rat« of commission was 5 «/o , find the gross cost of the apples. 5. I remitted to my agent at St. Thomas $257.50, with instructions to deduct his commission of 3 per cent., and invest the balance in grapes at 40 cts. a basket How manv baskets did he buy ? H. I received $544.95 to invest in wool, after deducting all expenses. If my rate of commission for buying is 24*»/o, and the sum of my other charges is $2.45, what was my Commission ? 7. How much money must I send to an agent, so that he may purchase a house and lot for me at $(J400, and have his commission of 1 J **/o ? 8. A commission merchant sold a consignment of pork for $6400, and invested the balance, after deducting his commission, in wheat. If he charged 3 «/o for selling, and 5 "/o for buying, how much did he invest in wheat ? COMMISSIOX. 27 a An agent transmitted to his employer S15()2, as the net proceeds of a sale. If his conxmission amounted to 838, what was the rate i^er cent, of commission charged ? 10. An agent sold a quantity of grapes at 3J «/o commis- sion. If he sold the grapes at 50 cts. a basket, and his total commission was .^1.12, how many baskets did ho sell? 11. An agent received a certain sum of money, with i-i- structions to deduct his commission of 2J«»/o, and invest the balance in wheat. If his commission amounted to 5)^1.00, how much money did he receive? 12. A commission merchant received 87.50, with instruc- tions to invest it in flour, after deducting his commission of 2J /o of the amount paid for the flour. What was his com- mission ? 13 An agent soM a crmsignmont of 600 bbls. of apples at .%2. .)0 a bbl. , on a commission of 2 °/o . After deducting both commissions, he invested the balance in wheat, at 90 cts. a bushel If he chargecl 2p/o for buying, how many ' bushels of wheat did he buy ? . 14. I sold a consignment of gorxis for $1120. I deducted S40 for freight, etc., and remitted my employer $1043.00. What rate of commission did I charge ? 15. An agent charged 2 °/„ commission on sales, and d U on purchases. If he sold grapes, and after taking out his proper commissions, amounting to 8175, invested the proceeds m wheat, how much did he receive for the grapes and pay for the wheat ? 16. A commission merchant remitted his employer $835, after deducting UQ for commission, and 825 for other ex- penses. What was the rate of commission ? 17. What is the cost of 150 bushels of wheat at 80 cts. a bushel, commission 2^ °/„ additional. 28 fOMMIHHION. agent at St IhomaR. Th. uKc.t, hcH tho gra,x.s at 2i cts. a lb and after .loyer by bank draft, for which he paid 25c,ts. c^xchango I- md the face of the draft ^^miu^t. 19. What is tlio eoHt of loO JMinhdH of whoat at 80 cts a- hmhol commission 2J «/^ additional '/ 2(). An agent sold a <'(,nHignmeni „f go,Kls for $175 if pI^nT ^'^° 'r';-T"'""' '^"'' ^ "/» ^- guarant.4 payment, how mueb enHes. If he paid ^l^xi a bbL for the flour, how many bbls. did he buy ? 27. An agent sold a consignment of t(K) hams each weighmg 20 lbs., at . cts. a ,b. He charged H o/^ .'.mmt sion, d^ /, for guaranteeing payment, and reserved S2<) for sf.>rage, ami $12 for freight advanced. He ren.itted the he paid 7o cts. What was the face of the order ? What price per lb. did the hams net the employer ? SIMPLE INTEREST. (Year. .300 days.) What is the interest at G o/^ per annum on : '2'Z-^'':!f'T f i- ^125.25 for 10 day. 2. a 4. 5. (5. 7. 8. 480.00 128.60 820. 16 660.25 160.60 940.00 260.00 81 " 66 " 128 " B12 " 77 " 117 " 44 1( 10. 11. 12. IH. 14. 15. 16. 410.20 620.18 860.75 620.20 76.40 812.25 680.48 22 18 56 26 76 24 96 u What is the interest on 6 7„ per annum on : 17. .$620.40 from Sept 1, 1884, to Nov. 15 18. 460.60 >• Jan. 1.5, 1889, to April l' 19. 460.25 '. April 1. 1889. to Sept. 27* f. ^!12.40 ^^ Jan. 10, 1888, to July 1 21. 480.20 u Sept. 1, 188 ,, .. .Tarf 16,' 1885 y i8tK) y 1889 y 1888 y 1890 y ;■, 30 SIMPLE INTEREST. 22. 23. 21 2;"). 2(). 27. 28. 2ft. no. ()20.00 480.00 ()20.40 520.17 2().2ri l(i0.28 7()0.4() 120.20 ()70.40 It Juno 1. 188!», to May 1, 1890? Sept. 14, 1890. to Jan. 1, 1891? Apr. 1. 18i)l, to Dec. 12, 1891? July 1.5, 1891, to Aug. 1, 1891? Sept. 9, 18S)0. to July 4, 189i ? Mar. 1. 1887, to Feb. 12, 1888? Feb. 1, 1888. to July 12. 1888? Mar. 4, 1889. to Sept. 1. 1890? Sept. 12, 1888, to Aug. 11, 188i» ? HI. At what rate i)er annum will $*)20 yield $3.72 in 27 daj^s ? 32. In what time will JJ840 prrKluoe $20.37 interest, if loaned at 9 7- ^ler annum ? 33. What principal will yield §19.01 in 180 days, at 5 7„ ? 34. What principal will amount to $481.40 in (>() days, at 5 7„ ? 35. I borrowed $960.20 on Mar. 1st, 1889, on my note bearing interest at 8 7^ per annum. How much should I pay Feb. 12. 1890? (Use exact days.) 36. I borrowed $760 on my note at 90 days, bearing in- terest at the rate of 8 °/^ per annum, and immediately loaned $460 for 90 days at 7 7o interest, and the remainder for the same time at 10 7^ • How much did I gain or lose by the transaction ? (Use days of grace. ) 37. On May 5 I borrow^^i $ /o per annum. Find the total amount paid. (Use days of grace.) -^ 44. What fraction is the principal of the interest on a note drawn for 3 years at 7^ «/„ per annum ? 45. A note bearing interest at the rate of 7i °/ per an- num amounts to $325 in 4 years. Find the face of the note. 4(5. A person borrowed a sum of money for 3 years. For the iirst year he was to pay 4 "/o , for the second year 5 o/o and for the third year H o/, . The total amount of interest and pnncipal was $828. What was the amount borrowed' ? 47 I bought 3G0 bushels of wheat at 90 J cts. a bushel payable in 90 days. I immediately sold the wheat at 90 cts^ a bushel, and loaned the money for 90 days at the rate of 8 /o per annum. How much did I gain by the trans- Q-Ctioii r 82 SIMPLE INTERKST. 48. I loaned 85 W to a morchant, at the rate of % per annum, the agreement btnng that the interest was to be added to the principal at the end of each year. How much did I owe at the end of the third year ? 49. On April Ist I gave my note for MHO, bearing inter- est at the rate of 8 % per annum, and payable in 90 days. When the note became due I paid ^100 and gave a new note for the balance and interest at ihe same rate per cent , and payable in (JO days. How nrch did I owe wlien the second note became due ? (Use dayf of grace. ) COMPOUND INTEREST. Find the Compound Interest : Rate Principal, per Annimi, Time, 1. $7500 2. $4750. 3. SSOOO. 4. $4500. 5. Sl()50. 6. 8 620. 7. $ 254. 8. $ 145. 9. $ 600. 10. $ 260. , 11. $ 225.. 12. .1! .B60.. .«%.... 2 yrs. .«%.... IJ " .7%. ...3 " .6%....! " 10%.... 2 " . 4%....2 " . •^%....3 " .«%....! . 8%. ...2 10%. ...4 . '>% . fi% u u o '■ 10 Interest Payable Annually. Semi- Annually. Annually. 3 mos. Quarterly. *' ' * Semi-Annually. 9 " .Quarterly. Annually. 2 mos. lOdys., Quarterly. lf> " Quarterly. 8 " .... Quarterly. " Quarterly. " Semi- Annually'. .7 9 8 10 13. What is the amount due April 1st, 1891, on a note fr,r $560, drawn Sept 12, 1890, ;ind bearing interest at the rate of 6 % per annum, interest payable quarterly ? :i l COMPOirXlJ I.VTEKEST. 83 U Find the interest en a note for «(i20, ciato of int^-ivst. He then h)ane.l th(> pro^-nnls of the sec«.nfl noU. for another i\ months at the same mU* of iuUu-est, and finally he h.aned the pr(K:(M...is of the third note for H nionths as In^fore. How nmcli .lid he rin-eive at the end (.f the yeai', and what jx-r cent, ix-r annum tlid lie realize on his orii^'ina! investment ? —*>♦♦••'-«- PRESENT WORTH AND TRUE DISCOUNT. .«% 0/ 10=/ \ Find present worth and true diseoant : 1 .^'""r"|; ''''>»«• Rate per Annum. 2. $ 281.17 5(J - ['.'.'.['.'/.[ " B. 9 585. 75 225 * ' 4. f 28i.9() ! '5 mo. 12 •' 5. * IfJfi.oO H •■ 20 " *^- '?l'^l-7H I yr. 2 mo. lOdavs ({a 7. .f 230.H5 1-3 •' 15 -' 8. S 141.H1{....!''"'''"2 '■ (i •' 2U •• *''""!.....({% 9.^ I can buy ai)ples at $2.10 a bb].. payable in 3 nios.. or at .S2.20 a bbl., payable in 8 mos. Which is the l)ett«r bargain, if money is worth 8 % por annum ? 10. I owe A $250, payable in 1 month. i250. payable in 2 months, and $250. payable in 3 months. Find the present worth of the whole bill, money l)eing worth 10% per annum. 11. I bought a farm for $12000, payable in four quarterly instalments of $30(K) each. I immediately sold the farm foV $1200. })ayable in months. Find my present ?ain. mimov btMug worth 10 % jier annum. I'RKSRXT WORTH AN[, TRl'i: I,is(„rXT. 3ft nt tho mto of ., ^ ,„.r annum, is $22. What in thn su.n ? VX A ..ity Wrows «(100(X). payable in 1 ,MmaI annual paymonts of pnnoipa, and in..,., ,,,, ,,, ^L. . ;I 'mmt, money Unn- worth 5% per annum, |1. O.i Mar. 1st, 1891, l borrowe,! **iOO, an.l gave niv "oto at .0 days, >..anng interest at the rat^^ /h 7 " r annun. F.nd the present worth of the note on Apr i fa money then being worth 10 % p,., annum. ' ' lo. On April lo. 1891, I borrowed .^800, an.l gave mv "ote at 2 numths. Wring interest at the ra^ of 1.)^^.^ -• annun. Find the present worth of the debt 45 dav^ Mj rnntunty. nmr.ey then being wo.th 8% per an- I'i. On Sept 12, 18,-K), I borrowed ^JOO, and gave my "oteat mo., bearing inU^rest at the rate of 10 % ,x3r an- num Th^rt^n days afterwanis I paid the present w.^Zf the note. If the note was discounted at the rate of 8 7 per annum, how much did I j.ay ? '^ ^ 17. (h. .Tan. l.st, 1891. I ]x>ught a horse for «120 on mv the note, If money ,s worth 7 % jw annum. Pi,'lti?tr''''r*^''""""' ''" •^''^•*^ for one year is .$14.40. J'lnd the true discount on the same sum for 8 months. T nee months a towards I paid the present worth of the bill. How much drl I pay, if money is worth (>% j^r annum ? 20. On Sept 5. 189L I gave my note, Wring interest at the rate of 10 % ^r annum, at 8 mc.. . for m,^ I paM the present worth of the note on Sept 12. How much les, th „,! the luce of the not^ did I pay. if money was then worth 12 % ix?r annum V ■I III 36 BANK DISCOUNT. BANK DISCOUNT. (Use exact days. Year, 3G0 clays.) In the following problems find : (a). When each note becomes due. (b). The unexpirerl time in days when the note is dis- counted. (c). The present worth by bank discount, (d). The pi-esent worth by time discount. 1. $275. fK). i St. Thomas, Sept. lat, 1891. Sixty days after date, I promise to pay .Tohn N. Carl or order, Four Hundred and Fifty Dollars, value received. Discounted Sept. 14. 1891, at 8 %. ^'''- ^"'^^«E«S- 2. $275.00. St. Catharines, Jan. 21st, 1889. Three months after date, I promise to pay George Brown or order, at the Bank of Commerce, here. Two Hundred and Seventy-five Dollars, value received. Discounted Mar. 1st, 1889. at (5 °/. ^- *^^00.00. London. Sept. 12, 1890. Four months after date, I promise to pay W. A. Phillips or order, at my office, here. Five Hundi^d Dollars, value '^^!^'^- , M. S. CARL. Discounted. Nov. 12, 1890, at 10 %. 4. m-o.m. St. Thomas, Nov. 12, 1890. Ten days after date, I promise to pay John Smith, or order, One Hundred and Seventy-five i^<\i Dollars, value ^^^^^^^- James Ferguson. Discounted. Nov. 15. 1890, at 9 %. Franklin Moore. BANK DISCOUNT. 37 dis- . or m. .nd 1)8, ue or Lie o. *37o0 00. T^^„,^^ ordt' T t' 'r ''^' ^ ^'°"^^ *° P^^ «-r^« Brown, or sIm% t^ ':?^r ' ^"' "' ^""^^^' h-^' Three Thou- sand Seven Hundred and Fifty Dollars, value received. Discounted, Nov. 22, 1891, at 7J %. Wm. Johnson. a.S2570.00. Hamilton, Dec. 3, 1887. Nmety days after date, I promise to pay Herbert Swindel or oi^er, at my office, here, Two Thousand Five Hundred and Seventy Dollars, value received. Discounted, Mar. 1, 1888, at 5 %. George Brown. 7. $iK)00.00. rk*+ rpK- . ^ , Ottawa, Jan. 1, 1891. Thirty days after date, I promise to pay Smith & Fer^u- sandrif'"''''.'.'''"^"'''^"'^^^^' ^-^' Three Thou- cTved '"^'"'^ ""' ^°^ P^' ^""^"^' ^^1"« re- TV. X J X Chas. Sanpord. Discounted, .Tan. 4, 1891, at 10%. t ®^*^'^-^^: Kingston, June 4, 1890. Two months after date, I promise to pay Geo. Campbell or order, at my office, here. One Hundred and Sixty-fiv; Dollars, with mterest at 10 % per annum, value received. Discounted, July 1, 1890, at 8 %. g. martin. a $1255.75. St Thomas, June 5, 1891. One month after date, I promise to pay Lundy Bennett, or oi^er at my office, here. One Thousand Two Hundred . and Fifty-five y^. Dollars, with interest at 10% per annum, value received. Nathan Woodward. Discounted, .Tune 5, 1891, at 10 %. f ^^^•^«?«- Toronto, May 16, 1890. Four months after date, I promise to pay Mark Wallis or order, One Thousand Four Hundred and Fifty Dollars' With mtert-st at the rate of 7 % j^r annum, value received. ' Discounted, Aug. 22. 1890, at 8%. ^"'^'^'''^ ^'^^•'^^- i f U^ 38 BANK DISCOUNT. 11. A note for $1750, drawn April 1st, 1890. at 2 months is discounted May 12, 1890, at 10 %. What is the difference between the true and bank discount ? 12. A note for 827(55, drawn June 12th, 1889, at 30 days, is discounted 10 days before maturity at 8 %. What is the difference between the true and bank discount ? 13. A note for .^50, drawn Sept. fith, 1890. at 2 months and bearing interest at the rate of 4% per annum, is dis- counted immediately at 7h%. Find both true and bank discount. 14. A note for S365, drawn .Tan. 12th, 1890, at 3 months and bearing interest at the rate of 12% per annum, is dis- counted 10 days before maturity at 10%. Find both the tiiie and bank discount. 15. A note for mio, drawn Sept. 1st, 1891, at 90 days and bearing interest at the rate of G % per annum, is dis- counted Nov. 12th, 1891, at 10 % per annum. Find botli the true and bank discount. 10. A note is discounted 30 daj^a before due at 8 % If the proceeds amotmt to 8953.60, what is the face o°f the note ? 17. The discount on $960 for 90 days is $15.60. What is the rate per cent. ? If the rate is 12 %, what is the time '^ If the rate is 12 %, the time 30 days, and the discount $4.50, what is the amount ? 18. A note for $750, dated April 1st, 1890, at 60 days and bearing interest at the rate of 10 % per annum, is dis^ counted nnmediately at a bank at 10%. Find the dis- count. 19. For what sum must I draw a 30 day note that, when discounts at a bank at 8% per annum, the proceeds will be "rto8. 24 , 2 months, difference ; 30 days, at is the ! months, m, is dis- md bank months, n, is dis- both the 90 days, n, is dis- ind botli 8%. If e of the What is ) time y it $4. 50, days, , is dis- he dis- 1. when will be BANK DISCOLTW. ^ 20. For how much must I draw a 90 day note that, when discounted at a bank at the rate of 6 y per annum X ceeds will be 8708.84 ? ^ «^ ^ /o P^r annum, the pro- 21. For how much must I draw a 30 day note that when discounted at a bank at the rate of 8%Vannum' the proceeds will be $238.24 ? ' Jt ^;-t' ^^'^^^" °^'"^ ^* *^« ^^"^^ '^^ following notes, which were discounted Sept. 1st, 1891, at 8 % • Note dated July 15, 1891, at 30 days, for ° . ..$750 " 25, " '^ 2 months, " '.*.'." .'.$600 Aug. 15, - w 3 . ,. ^^^ The last note was bearing interest at the rate of 6 % per an- num. What were the total proceeds of the three notes ? 23. I owed 83500, and only had 8750 on hand. I dis- counted a note for 81200, due in 12 days at a bank, at the rate of 8/ per annum, and drew an accommodation note at W days for such an amount that, when discounted at a bank at the rate of 10 % per annum, I was able to pay my note and have 8100 remaining. What was the face «f t^ accommodation note? 24. I wish to raise 82750. I have three notes for 8500 each, maturing in 15, 30 and 45 days respectively, which I discount at a bank at the rate of 10 % per annum. For how much must I draw an accommodation note that, when dis- counted at a bank at the rate of 8% per annum, I will oDtam the money required ? 25. Smith & Ferguson offered at the bank the foHowing notes, which were discounted Mar. 15, 1891, at 10% : Note dated Feb. 12, 1891, at 1 month, for ' " ' $250 Mar. 1, - "60 days, - .''."■■■ '8250 '• 12, - " 10 - - ^^ The first two notes were bearing interest at the rate of 6 "/ per annum. What were the total proceeds of the three notes ? 40 PARTIAL PAYMENTS. PARTIAL PAYMENTS. (Month, 30 days.) ^- ^^^^- Toronto, Sept. 12, 1889. On demand, I promise to pay John Smith, or order, Two Thousand Five Hundred Dollars, with interest at 87 per annum, value received. js^ac Moyer. On the note were the following indorsements • Dec-23,1889 ' Feb. 7,1891.. .■.■.■.■.■.■.■.■.■.■.■.■.■.■:;;'S What remained due July 29, 1891 ? ^- ^^^'^^' London, Sept 13, 1888. Two years after date, I promise to pay A. D. McGregor or order. One Thousand Seven Hundred and Fifty Dollars' with interest at the rate of six per cenU. per annum, value- "^^^^' JAME^ Brock. ' On the note are the following indorsements : Jan. 8, 1889 ^.^^ Dec. 13, " !^?^ What remamed due Sept, 6, 1891 ? ^' f^^- St. Thomas, Jan. 12, 1891. On demand, I promise to pay A. D. Patterson, or order Four Hundred and Fifty Dollars, with interest at the rate or nine per eent per annum, value received. Following are the indorsements : ^^'''''''' ^'''^^«- April 12, 1891, July 17, " • *^"" Aug. 17, '« ...........".".'.'..'."."."■ ; f^ What remained due Joi 15. 1892 ? "" PARTIAL PAYMENTS. 41 4. $1800. T?«! I. J^mngham, Ausr. 10. 1889 One year after date, I promtao to pay Jam^s Pmnei, „r order One Thousand Eight Hundml hollar., value^^eS w.th .nter^st at the rate o, ten P.r cent pe; annu"! John N. Cari* Indorsements : Dec. 1, 1889 Mar. 4, 1890 * ^^ Feb. 1, 1891 *^^ Mar. 4, " '. * ^^ --,, $500 What remained due June 9, 1891 ? J: f'^'T '"'" ^^^^' ^^"^ ^^"' 1' 1«90, and bearing in- terest at the rate of 8 % per annum, has indorsed on it the following payments: July 5, 1890, $810 ; Sept.. 11 1890 Sl2o; Jan. 13, 1891, MOO; June 18, 1891, /lOO 'w^; remained due Sept. 30, 1891 ? > ^ w. what 6. A note for $1560, dated April 12, 1888, and bearing ZZl '• ''' "^^' in per annum, has' indor^eTr' the following payments : July 15, 1888, $15; Oct. 15, 1888 $15; Jan. 15, 1889, $30; June 12, 1890, $600. mat^' mamed due Dec. 31, 1890 ? 7. A mortgage for $2400. dated Jan. 1. 1887, and bearing interes at the rate of 10 % per annum, has indo.^:""! 1-^.0, $17o. What remained due Dec. 11, 1891 ? . J' .^^T ^°' ^^^^' ^'''^ ^P"^ ^' 18^0' and bearing in- terest at the rate of 5 % per annum, has indorsed on if the following payments: Dec 1, 1890, $25- June 8 1891 sqT Nov. 18, 1891, ,25. What rLmainU dJe J^^ 1,' Zf' w ;' .T ^°' ^^'^^' ^^*^ •^^"- 1' 1^' a^d bearing in- ter^st at the rate of 7% per annum, has indoi^ on it^he following payments: July 6, 1889, $200; Sept 2, 1888, $50- 42 PARTIAL PAVMFOXTS. 10. A note for .f 3(J0, dafcwl July H jftHtJ nr,ri k.. • • tprptjf nf +k« X ,/>„. • "'".y '^, ifw.i, and beanngr in- terest at the rate of 9 7 ixu' iitimi,T. u • j ■, * 11 • ^° ' ' "■""urn, has indorsed on if, tVio foUowmg payment. : Aug. H, IHW, MOO, Dec 15 ,Vc^ so' Zl: '*'• *:",' '""^ '■ '«"• •'»» Ifec. HI C' «10. What remainwl iliio Cob. ft, 18!)2 •/ sjoo. .Tan. 12, .«.,«., ,,.,, ,;,«;,'; J*',X«: 1S2 ! 5' Z 't4 wt f*'' *'•'' ''^'' ^' ^«^^' *'^^^' «^pt. 1891 ? ^""''""^ "^^"^'"«^^ due Nov. 20, 13. A mortgage for $1600, .lattd June 12, 1890, and bear- ing interest at the rate of 5 y .^.r annum hna • i a +u^ *„ii . /« ''^'^ ivnnum, has indorsed on it the following payments: June ,o, mm, «500; Sept 8 1890 «2o0; April 0, 1891, *100; Ju,, 15, mi, 8100. ' What rel mamed due Jan. 1, 1892 ? vvnacre- wh v. T '^^''^ ^' '^'' ' ^""^ ^''^^ "^^*^' '- »'^00, at 10 y. on 3 ito ^toTr';!'"""'^ '''' ^""'-'"^ payments: June 3, 1890, $10; July 3, 1890, $10; Atiff, 8 1890 $10- ^^1? 1890, $10; Oct 3 1890 »Jo \%n f . ' ' ^P** ^' 1891 ? ■ ^*'"* remained due Mar. 8, 15. A note for $125.50, dated April 12, 1888, and bearing merest at the rate of 4% ^r annum, ha« endol^ed on " hf fono..ng payments: July 10, 1889, $25; Mar. 10, 1891. $50; ?eb 1 S' '"■'"' ''■'*''*'"• ^h-*r«-aineddue .STCKJKS AND BONDS. 48 STOCKS AND BONDS. J: 7l!^V%*l^« ?vidend on $4200 par of stocks, if the rate of dividend is 4S 7 ^ sell at di% discount, brokerage § % ? 3. What is the cost of $3600 par of stocks bought at 01 7 premium, brokerage i % additional ? ^ -t /» pJi ^'''^*! ^'^2000 par of stocks at (J8|, and with the pro- it P;^;^h«^«ed other stocks at 1211. How many shares did LX1 '""' "'^ ^ ^ ^''^ '"^^"^ -^ *h- -- for 5 At what price must 7 % stocks be bought to realize 8 7 on the investment ? ^^"/o 0. I can buy 8% stocks at 120, or 9% stocks at 130. Which mvestment will produce me the greater per cent of income on the investment ? t^ ^ ui 7. What per cent, stocks can be bought at 792 to yield 8 % on investment, the brokerage being a % '? 8. A speculator bought 40 shares of 5 % stocks 59i, re- ceivei an annual dividend, and then sold out at 54g. What was his ^ain or loss if the brokerage in each case was i % ? 9. A gentlernan bought stocks at 63| and sold out at 64*. He found that he had gained $44 after paying i% for buy- mg and the same for selling. How many shfil did he 10. A capitalist purchased sufficient 6% stocks at 42| to produce him an annual income of $426. How much did he mvest, if the brokerage was | % ? «■; 44 STOCKS AND BONDa stockB at 9oi. How much was my income increased, if the brokerage in each case was J % ? mnl^'f'^.^^""^"'^" '"''^'^ "^^2560 as follows: «?G420 i„ aVm n/ 1:'.'*.^''^' ^"'^ '^^ ^"^^"^^ ^" ^-"k stock If tie btl r^ ^ '";^'"'" "^'"^ "^« *^^ ^»-^-l income ir the brokerage m each case was ^ % ? 13. I paid 82790 for U. 8. 4 J bonds, and' i^alized o y per annum on my mvestment What was the par value o? t'l^e mut J^'^'^^^^'^y^^^^^y "hares (100 each) at 4 % discount sJk atTso/^l^f ' '"'^^ the prc^e^ invested" in bank stock, at 12^ below par, and paying a dividend of 6 7 , may yield an income of 81260 ? '^ ' 15. I invested 821315 in Bank of Commerce stock at 122i brokerage i% additional, the half yearly dividends being -n/o' ;Find my annual income from the investment 16. I sold 85000 par of 5% stocks at 112, and with the proceeds purchased Bank of Commerce stocik, paying 67 Uividends. If my yearly income is increased 8 70, at whaf quotation did I purchase the Bank of Commerce st;K.kV atY7(U TT" ^"f^' ^^^^^^^ Bank of Montreal stocks t ^^,7' ^"^'^^^^S^e * % additional. What rate % of dividend should the stocks pay in order that he may make 5% rn his money ? /o "»* *"» 18. A broker received 842100 to invest jn U.S. 5-20 bonds after reserving as brokerage i% on the par value of the amount purchased. What was the commission, the bonds being at a premium of 5 % ? ^^Sk^ T ''''''"^ **^ ^" ^^"^^ '^^^ at 120, and 85535 m railway «t^oo.ks at 135. If the former stock^ pay 4 ^ dividends and the latter ^ %, what is the total income ? STOCKS AND BONDS. 46 inv^n. 8?! ' ^^^'"o ^'^.^OOOof Dominion Bank stock ?iT Flf.. r"""""' '"^^ "^^^^ ^^ ^^ 125, and pays «4 /o . Find the alteration in his income. the alterution'r^' :i^f i St"!\ "^"^^ "'«»*• »'-'' ^ o, income, it the brokerage each way was 22. A man bought 40 shares of 5% stocks' at 632 and after receiving a half yearly dividend sold out at 62^ 'pi^d his net gam or loss, if the brokerage each way was f % 28. I bought 5 ^r cent, stocks at 54|, and after reclivih^ aqua^ly divMend sold out at 54. \y net^^J^^aS srsVdib.:;;"'^ "^'^^^' ^^^ '''■ «- -^-^ 24 A broker, on his own account, bought 30 shares of o % stocks at GO, and 20 shares of 6 % stocf s at 70. F^nd hi average per cent, of interest on his outlay. 25 A gentleman bought, through a broker, 100 shares of 9^ andto t '''^'' «^-s of manufacturing st^^lM w^.'b ^ f , ''' ""^ ^°"" "•^^P'^^y '"^^^ at 102. What ase?^^Whir"!r'' " '^ P^^^ *^ brokerage in^h case^ What was the total brokerage ? auctmg J^ brokerage for selling and iy for bnvini. bought 12% stocks at 1993. How mnnh • - ^ ^' creased ? * '""''^ '^ "^^ ^^«o™e in- 27. The net profits of a company, whose cfinifni of «i, • ^25000, is $1000. If $125 be rese^^ to Z. , '" losses nnH ti,« • i , "^^ervea, to meet unforseen ios^s, and the remainder be divided among the share- holders, what rat;e rx\r r^nf -f r -j ■, = »iia.re- declare? Tf tT„ .1 T '^'^^"*^ ""'^^ ^^^ company, what ,1. '^"'"^ °^ *^« ^*«''^' P'l^^hased at 75 what rate, per cent will I make on my investment ? ;*^ i 48 FIRE INSURANCE. FIRE INSURANCE. I:| 1. A man insured his house, valued at $1750, at i its value. What was the premium paid, if the rate of ins r- anco was J % ? ^. A gentleman insured a building at f % premium. The premium paid -/as 87.68. What was the value of the build- mg, if It was insured at ^ its value ? a. A store and contents was insured for 827000 as fol- lows: J in one company at § % premium; J of the remainder in a second cdmpan, at J % premium; and what rev.aained in a third company at i % premium. What was the total premium paid? What was the average rate per cent, of premium paid on hhe whole ? 4. A stock of goods valued at 820000 is insured in one company for 8'^T,>0 in another for 84.500, and in a thini for !fL^VVi 1 ^ u' r' P^"*^^"^ ^^"^^^ *« '^^ extent or )^5o00, how much should each wjmpany pay ? 5. A fire insurance company charged 848. J 5 for insuring a house for 86420. What was the rate % of insurance ? 0. A fire insurance company took a risk of $24000 on a stock of goods. If a partial damage of 87600 should take place, what % of the risk should the company pay ? 7. For what sum should a house be insured, valued at 82140, to realize the value of the house and the insurance if the rate of premium is 2J % ? a An insurance company took a risk of 81800 at 1 7 iwmium, and reinsured J of the risk in one company at g 7 premium, and i nf f ho »-orvw,;«fie- i- .-^u ,, -J. — .vi.iUi.xuei III jtHuwier company at i % premium. What did the company gain or lose by re- FIRK INSlfUANCE. 47 insuranoa What p«r cent of promium -IM tho .on^pany not on tho romainrier of the risk ? f>. A merchant has a stock of goods valuo.1 at .S17ir, 01 Ho wishes to have them insured at such a sum as will covo^ the vahxe of the goods and the premiun. in case of loss. For mium"r;^"^''^'^^"«^'^^^--r^. if the rate of pr^ 10. A merchant insured a stock of goods for S5'200.2o covermg both the value of the goods and the premium i^ ease of loss. What was the value of the goods if theTa e of premium was 4 r 'J <= , uic rate insured 1 of the risk at r ^ premium, and i of the remain.ler 12. A gontleman insurorl n. hou* (or J of its value nt »y prom,™. If the pr„,„i„„ ,an,„„nt<.l to 80.40, Xt™ tho value of the house ? ."natwas 18. I insured a house for such a sum a, to cover both the value of the house and the ^rominm in case of loss. If the house was msure,, for 8700, and the rate of .^miun.was -li ^ , What was the value of the house ? 14. A cargo was insured for .$7500 at ? 7 premium in nno company^ and for .25(X) at ^^ Premiui l^ZZr "com! pany. The cargo was insured at ^ of its value. Find the net loss to the owner, if the cargo is destroyed. for1io^tl1"r"'^ ''•''''" ^"^^"^' ^" ^'^^ --P-^' iorj51000(. at 5/ premium, in a second company for .?8000 at g% premium, and in a third company for $7000 at \°/ premium. What was the nverop-P ,^-r .-> <- r ■ i.n,-riy Tt^i. u Mj- H.^erage per cunt, of preimum w I f '^^'""^ '''^' damaged to the extent of $14000 what should each company pay ? ' ■I.s FIUK l\MrKAN(!E. 10. A morchant insuro-l 8i)()() bushels of potatoes at U 7 prommm. If the ,no„.iu,n was m, at what price per- bu^hiel wei-e the potatws insured ? 17. For what sum must a vessel worth .S20f)()0 bt. insured to cf,ver the value of the vessel, $l.aOfor policy and sun'ey, and the premium, if the rat<> of premium is 2A % ? la A block of buildinsrs worth .^000 was insure! in one rompany for mm) at ;/ % premium, and in another com- pany for mm at J % premmm. If the buildin.^ should ho damaged by fire to the extent of mm, how much should each company ])ay ? 19. A building worth S7500 was insured at % of its value If the premium paid was m. 75, what was the rate rnyv cent' «» premmm 'r* 20. A merchant insured a cargo of goods worth i?ir,00 in one company for $8000 at 4% premiun., and in another company for $7000 at ^ % premiun.. What was the average rate ^^.r cent, of ,.remium paid v What was the total p,v- miumpaid? "■! i"«. 21. A merchant insured a lot of goods valued at mm pany for SBOOO at A >. premium, and in a thinl companyTt 1 per cent, premium for such an amount as to cover the cost of he gocx^s and the total amount of premiums paid in ^se of loss. For how much were the goorls ins.ired in the third company ? 22. A fire insurance company took a risk of $25000 at t/o premmm on a building worth $40000. The building- was msured for $10000 in another company at l 7 pre! oTZt Of .75^'f' ^^^ 't"^^^^* ^ ^lamaged';yfirtt'the extent ol $7o00, how much should the fii^t company pay '> What was the average per cent, of premium paid on tW whole amount insured ? TAXIOS. 49 TAXES. the do lar. What .s the amount of my taxo., if my pro- Avt^^-n'^^'r*^ i'Xi)endituro in a oerl^ain city is S80000. AMmtwxll be the rat., of taxation, if the taxable prorx^rty is assessfxl at $2,880,000 ? ^ ^ ^ H. Find the tax on property assessed at .§1750. when the rate of taxation is 18 mills on tlie dollar. 4 A township assessed at $1,250,000 wishes to build a bridge for $8000. What will be the rate of taxati ex' 1-sed as mdls on the dollar. What will bo the amount or .1 n ins taxes who is assessed at $60ou y 5. A man's income is $1250 a year, of which $400 is ex- empt from taxation. What tax does he pay. if thecal of taxation if 1 J cents on the dollar ? «. The property of a town is assessed at $800 000 Tho council w^hes to raise $'^50 and the collector's charge of 4/o on the amount collected. What will h, the rate of taxation r 7. A ratepayers taxes amount to $2.94. What is the rate of taxation, if his property is assessed at $4200'. What Mil be the total amount of taxes raised, if tho assessed valuation of the property is $2,150,000 ? 851,000,000. The amount of mone, re^iuired for the veuriv expenses is .S19000 and the collector's charge of 5 °/ . What will be the rate of taxation ? 4 ^ TAXE& 9. I bought a house and lot for $800. The property is insured at | of its value, and the rate of taxation is 15 mills on the dollar. The house is insured for $400 at ? °/ pre- mium. If money is worth 6 % per annum, what monthly rent am I really paying for the house ? 10. My property is assessed at | of its value, and my taxes are $10.80 If the rate of taxation is 1 J cents on the dollar, what is the value of my property? 11. The taxable property in a certain city was $1,128,756 ine taxes were assessed as follows: For school puri^oses g. 5 mills on the dollar. general " 3,4 What was the amount of money required for each purpose ? 12, I own property on a certain street assessed at $1200. The taxes are assessed as follows: For general purposes g ^i^, „„ ^^^ ^^^^^^ •' frontage 4 u ,, " school purposes 14 u ,, " sewerage 3 u ^^ What amount of taxes do I pay for each purpose ? What IS the total amount of my taxes ? s/500^000 '".r' "'T'"" "' *'^ p^^p^^'^ ''' - ^'^-^ - %l,oOO,000. Ihe council wishes to raise $7700 and the col- lectors commission of 8 % . What will be the rate of tax- ation ? 14 What is the total tax on real estate assessed at $7500 and personal property assessed at $2400, if I am allowed a discount of 3 % for prompt payment, the rate of taxation teing 14 mills on the dollar ? 15. The taxes on a certain property amount to $17.10 If the property is worth $2700, and is assessed at H of its value, what is the rate of taxation ? TAXES. 51 lar. 16. In a certain town the following is the ESTIMATED EXPENDITUKE. Market buildings ^ 3^^^ Police department ^.. r ire " ,, , . 3000.00 TT"V\ 12000.00 Pubhc schools lo-Q^^ Insurance ^^^^^ Interest on debentures 7240 17 Lighting streets ■.■.'.■.*.'.'.■;;;;;;;;;;: booJ^oo l^^^^^S.^^., 400.00 -fcilection expenses . . qha r.r. o J. obi. 00 ^"^^™^ 0274.00 Following is the ESTIMATED REVENUE. Balance from last year ^2400 71 f'""''' .'.■;::: 1704:13 I^i<^e««es J250 00 Police court funds " " onnVkr. ^""*"^ 160.00 ?. r)l ^r"f ^^^"^*^«" °* *h« property of the town is $3,674,000, what will be the rate of taxation, expressed as the lowest number of even mills on the dollar ? What will be the estimated surplus ? «Q7-n "^^i """^ ''^ *^''^^^''" ^^" ^ necessary to raise 5*y7oi) and the collector's commission of 2A y on pronertv assessed at $500,000 ? What will be the taxL on proLrtv assessed at $1750? On proi^erty assessed at $2100 ? 4- 52 DUTIES AND CUSTOMS. DUTIES AND CUSTOMS. at «q7^?J' '^' ^"^^ ''" ^" importation of books invoiced at $37, If the rate of duty is 35 % ad valorem ? 2. What is the duty on 15 bbls. of molasses earh rnn taming 40 gallons, at 15% ad valorem? ' "" nf !' t* ^o"^^ f '^''* "" ""^^^ ^*^*' ^^h^*^ ^« the duty on a stick of timber 2d ft. long, 2i ft wide, and 2 ft. thick ? J; ^f/\*!^«^^ty on an importation of 1200 yds of cotton, 27 inches wide, invoiced at 4^ cts. a yard the rate of^duty thereon being 2 cts. a s^ua^Vani an'd S%'ad ^ 31 J gallons, at 10 cts. a gallon, allowing 2 % for leakage" Jl' I^""^ ''u^' ^"*^ ^" ^^^^ ^^•''- '^f "^il plate, the rate of duty thereon being .S13 per ton ? " rare ot w^ii^^T.K *^' '^'"^^ °" ^" importation of 9fi0yds. of wc^llen cloth, we^hing 1200 lbs., and in voiced at *l 25 a r: v:i::^LT '' '"^ ^'^-"" '-^^^^^ ^^ -• ^ ^^- -<^ ^0% a A grocer marks goods at an advance of 25°/ on the gross cost. How much is an imported article, invo^^d S2.40, increased n. price by the imposition of a duty of 9. A dealer imported a consignment of 50 lbs. of tobacco and paid thereon ,15 duty. What was the invoiced p^^ ^':lor'm ? ""^ " '"^^ "^'^ '' ^'^- ^ ^'^^ -^ '^ ad DUTIES AND CUSTOMS. 53 J\ lh™T.f ^ ^'"'"'^'^ "^ '^^^^ ^^"^^ i'^^^'-'^d at 8 ct . a lb. If the rate of duty is 1| cts. a lb. and 25 y ad valorem, and the total cost was 88.55, how many lbs. did I 11. A merchant imported a consignment of watches in- lltT' 10. 6d. What is the duty thereon at 25 % Z 12. What is the duty on an importation of 100 baskets of t:^^;z^ '' ''' - ^-^-' - ^ % ^-^' ^"ow- 13. A merchant marks goods at an advance of 30 »/ on 01 .w^. The freight, etc., amounted to $2 40 If the article was marked at $18.36, what was the invoice price ? of W 'T'^Jn^ ^r'''' '''" ""^''^ '^^'^ ''^' ^ «I^ifi« duty to ^.4 60 If ?)? '' "'°""- ^'^ '"^^^*' ^*«-' ^— ted cost me ? "''^''''' ^^'"^ ''''' ^^'^' ^^"^^^ '^^^ the piano 15. A merchant imported goods invoiced as follows: 280 yds. broadcloth at ,0 112 " carpeting •'.".'."■.'■■.■.■.■.■.;; g"* "" J"** 75 casks maderia " ^'^^' rvu A . , $30 a cask. The duty on broadcloth is 35% ad valorem; on carj^ting 1 i f 7f °'''''' ^"^ '''^'^""^^ ^^ % ^^ valorem. What was the total duty paid ? v/''/ !";r''^ ^^^ ^^'- "^ ^^""^^ 27 inches wide, and in- voiced at 40 cts. a yd. What is the total duty, if the rate of duty IS 4 cts. a yd. and 20 % ad valorem ? ^^^o''.V'*^^'^"*^ °^ ^ consignment of watches in- voiced at mw lOs. 6d. , at 25 % ad valorem ? J; 54 EXCHANGE. EXCHANGE. 1. Whp.t is the cost of a si^ht draft on Toronto for S1200 ^^ H % premium ? 2. What is the cost of a draft on Chicago for S8G0 at -4°/ discount? */° 3. Find the cost of a bill of exchange on London for £800, the course of exchange being £1 for $4.60. 4. I wish toa-emit $480 to Liverpool. What will be the face of the bill, the course of exchange being £1 for .^4.85. ^ n. Find the c^st of a bill of exchange on L ('OMI'r)lfN'D PROPORTION, SIMPLE AND COMPOUND PROPORTION. (This subject might profitably bo Intmlucod immediately after Dejilrrial I*'ra days ? 8. A pays $4.32 taxes on ft farm assessed at $2160. How much should B pay on a fann aHMossed at $5000 ? 9. Two railroads together charge $27. 50 freight for carry- ing certain goods 275 nules. If the first railroad carries the goods 160 miles, how should tho money be divideil ? 10. A man can walk from A to B in 12 days by travel- ing 9 hours a day. In how many days can he make T^e journey if he walks 10 hours a day ? n. If a pile of wood 16 ft, long, 4 tt wide, and 7 ft. hi-h IS w.>rth $27, what Is the vahio of a pile of wood 23 ft Ion- 5 ft. high, and 4 ft. wide ? ' "" SIMPLE AND COMPOUND PROPORTION. 57 12. If U7o will accrue $3.80 interest in 48 clays, how much will .^500 accrue in 28 days ? 13. How many bbls. of flour will 27 laborers consume in 4^^ days, if 16 laborers consume 28 bbls. in .54 days ? 14. By laboring 10 hours a day, 250 men can perform a piece of work in 25 days. How many hours a day must 350 men work to jiei-form the pb in 30 days ? 15. A pile of stone 30 ft. long, 25 ft. wide, and 10 ft high IS worth ,$2.50. How high must another pile be. 40 ft. long and 36 ft wide, to be worth $3.50 ? 16. If 8 men, working 10 hours a day, can plow a field 130 rods long and 20 rods wide in 7J days, in what time will 1 man plow 2^ acres, if he wf)rks 9 hours a day V 17. If a cord of wood is worth $3.f50, what is the value of a pile of woofl 40 ft. long, 9 ft. high, and 4 ft. wiue ? 18. A piece of work can be done by 12 men in 8 days, by working 10 hours a day. After working 6 days, 4 men are discharged. How many liours a day must the remainder of the men work to have the work completed in the 8 days ? 19. A certain map is draw n on a scale of 8 miles to an inch. How many acres are there in a township which measures 1^ inches by I of an inch ? 20. Eight men and 3 women can d.) a piece of work in 12 days by working 12 hours a day. If one man can do as much work in a day as two women, in what time can 3 men and 8 women do the work by working 14 hours a day ? 21. If $525 accrue S3. .50 in 30 days at 0% interest, how much money will be required to accrue $4.50 in 45 days at 8 % interest ? 22. Forty men have provisions for 27 days, when each man is allowed 25 oz. a day. If 10 men are withdrawn, how i •■11 58 SIMPLE AXD COMPOUXI) PROPORTIOX. many o. may eaoh man be allowe.l, in order that the pro- vision, wai last the remainder of the men 30 days ? •^*a. If 12 men ean out 40 cords of wckkI in 2h days liow many men will be re.,ulre.l to o,nt 28 c-onls in 7 day.^/ 24. If a pile of wooci 80 ft. long, 10 ft hidi, and 4 ft w.e.s worth *57, what is the value of a pile 20 ft. Ion. « ft. hig'h, and 4 ft. wide? ^ 25. A man e.an walk around a field mO yds. Ion- by 150 a tllf f " l'-^.;'-mtes. 1 n what time can he walk around a noui ^ ot a mile s<|uare? STORAGE. 1. At I i cents a bushel per mrmth of average storage Tan 19 tl f '"f /^"^ ''^'y '^ «» ^he following receipts .Ian. 12. ..12 bvt; Feb. 8. 221 bu. ; Mar. 10. 75 bu. : Mar. 81, IbObu.; Apr. 12, 18(> bu. ? ' * f. ^l 2 ^^^'- ^ bbl- per month of average stomge, what .s the storage due Nov 1 on the following receipts: Lr. Ki, 362 bbl. ; .Tune 1, 260 bbl. ; June 15. 128 bbl. • Aug. 4 150 bbl.; Sept 25, 240 bbl. ; Oct. 5, 180 bbl. ? ^ ' 3. At 45 cents a head per month of average grazing, what Man 8, 28 head; June 1, 50 head; .Tuly 10, 12 head; Sept «, 22 head; Oct 4, 24 head? ^ 4. A merchant made the following deliveries of pork at a warehouse: Mar. 1, 80 bbl. ; Sept 12, 40 bbl • Sont 28 45 bbl. ; Oct 0, 24 bbl. ; Nov. 8, 40 bbl. He withd;:: po 'k follows: June 1, 20 bbl. ; .Tuly 4. 10 bbl. ; Sept 2.5, 25 bbl. ; STORAPrE. 59 a.. 24, 30bb,, Nov 15, .Obbl. What i. the sum due iJt^. HI, at 2 cents a bbl. per month of average storage ? 5 A warehouseman received wheat as follows: Jan. 10 2oObu.;Feb 10,175Uu; Feb. 28, Hlobu.; Mar, 10,185 bu. ; Apr. 30, 280 bu. ; July 1, m bu. He made th; follow- 20 i Tu "''■ '"' '^'^ '"'' '^""^ '' '^25 bu.; July KJ, 120 b,u What was the sum due Aug. 1, at j cent a bushel per week of average storage r* J' ,«r*^''\^.*''' ''^'''^' "" *^" following account to Nov. May Id, 1891, 1,.t bbl.; June 18, 210 bbl. ; Au-. 4 110 bbl • .Sept 8, 50 bbl.; Oct. B, 125 bbl. l^livered .wV80 bb t' July 4, l.,0 bbl. ; Aug. 81 , 25 bbl. ; Oct. 22, 95 bbl. 7. Comput^ the storage cm the following account to Dec. ^l, l%.->0, at A a cent a bushel ,>er week r,f average storage: RR(^RIVRI). 1H90. Mar. 22. 175 bu. wheat -Tune I. 150 " .July 81, 210 Sept. 8, 871 Nov. 28, 104 DrOMVRRRa 1890. April 15, 90 bu. wheat. July 8, 125 Sept. 12, 350 The. 8, 212 1-^c^^''"*f ^^"^ '^''''''^^ ^" *^^' following account to .Tan. lo, 18J0, at 3 J cents a bbl. per month of average storage: RRCEIVRD. 1889. July 31, 210 bbl. mdse. Aug. 18, 175 Sept 21, 216 Oct. 4, 199 DELIVERED. 1889. Aug. 1, 175 bbl. mdsa Sept 10, 150 Oct 28, 200 _ . Dec. 31, 150 Dec- 29, 20(^ '» | lovvs-^ ^a^'^bouseman received and delivered mdse. as fol- n u uo STORAGE. 1889. Aug. 8, 18r» bb], nvjso. Sept. 2f>, 2l(» Nov. M, 195 " Dec. 28, 2't() " 1887. Jan. H. KiO '. DEM \ EKED. 1880, Oct. 1, MOO bhl. mclse. Nov. 28, l.'Kl '< 1887. .Fan. 12, 75 »' " 29. KX) " Find the amount dno Uy Feb. 1. 1887, at Hi cents a bbl. ,K.r month of average storage. 10. Wliat will be the pasturage to Aug. 31, at 45 cents a month of average pasturage, on the following account: UE(^RIVBP. 1891. June 1, 210 head. July 25, 165 " '• 29, fiO " Aug. 1, 140 " DELIVERED. 1891. July 15, 100 head. Aug. 12. 200 " 19, 50 " '' 25. 200 " EQUATION OF PAYMENTS. 1. Brown loaned me $125 for 4 months. For how long should I loan him $50 to balance the favor ? 2. I loaned Jones .$150 for 4 months. How much should he loan me for 5 months to balance the favor ? 8. I owe A $300, payable in months, and $200, payable in 4 months. When should I pay $'m to cancel the debt ? 4. I owe Brown $200, payable in 3 months, and $400. payable in 4 montlis. When should I pa v $900 to cancel the debt V EQUATION OP P.WMENTS. tU .'.On Jan. 15, 1891, a merchant Iniu-ht g.xxls from a ^v•holo8al», houso on the following torni.s: »500 payable in 3 months, »tOO payable in months, and mX) payable in 7 months. Find the average term of credit. »im ^''J^^^^" ^^^- 1' 1890. goods on the following terms: !?t()0 cash, $m on 10 days, 8300 on 20 days, «300 on 1 month. Find the average term ot credit. 7. Bought on Sept. 12, 1890, goods on the following ir" T. '"'• J'"^ '^^ '' '''"^'^ '^^^ '^^ 20 days, and »900 oj n days. Fmd the ...uat^d date for the payment of the whole account a I owe S30a payable in 10 days; 8200, payable in 30 da^-s; and $2o0, payable in 4r, days. Find the equated date for the payment of the whole amount. a A merchant bought goods from a wholesale houso as follows: Ou Sept 12, 1891, .^tOO; on Nov. 12, 1891, $500- on Jan. 12, 1892, .«300. If no credit was allowed, fi^d the equated date for the payment of the whole amount 10. Bought goods as follows: On .Tan. 15, 1890, $600: on S^ tT' ^'^^' "" ^^'- '' ^«^^' '^250; and on June 12. law, «S.-loO. Find tlie equated date for the payment of the whole amovint 11. Bought g j| 200100 64 AVERAGIXG ACCOUNTS. Dr. (No. 4.) Wm. CoRNFORTir. 1887. ! I $ jc. 1 1887. ' Mar. l.lTomdse., 410'00 Mar. 29, Bv cash, 4, •' 4")000 ,Tuno 80. " '^ June 29,; " ,24000;, Dr. (No. 5.) .Toiix Thompson. 1889. Oct. 8, To mdse. " Bl,; Nov. 15,; " $ c. 1889. 35000 Nov. 10. Bvcaah, 784.(X) Dec. 1. " - ;18fil00 25. Dr. (No. ().) Nathan WoomvARD. 1888. : ^ Ic. ' Mar. 12, To mdse.. 12(}i00 i Apr. 17, " 174100 '■ June 9, ' Dr. (Na 7.) 1888.^ May 12. June 10. Ry cash, 300;00 I July 1, Samuel (tArdner. ^ i 1889. Sept 1, Oct. 12, Nov. 30. Dec. 8, To mdse. , t ( i c. 316 00 45400 ir)0;oc» looloo Dr. (No. 8.) Mar. 12, Wm. a. Phillip.s. 1889. I Oct. 12.!Bvcash, Dec. 1, 1890. Cr. ?S c. I 200'00 : G5000 Cr. 1887. I 1 $' Jan. 12, To mdse. , I 180 Mar 21, Apr. 16. May 1, u I i 325 400 200 c. 00 00 00 1887. Mar. 12, By cash, June 1, . " 27, 00 1 1 July 25,! Dr. (No. 9.) George Robert.son. 1891". $ . c. 1891. July 8, ^ To mdse. . KJO 00 ! I i Sept 1, Bv cash Aug. 1 Sept 8. Oct. 1, 225 00 '■ Oct 31. 125 (X< i Nov. 8. 300 00 1892. Mar. ee. 8, To mrlse.. 31(5 0(j 451 00 1(5000 1 160 tH) Oct. 12,1 By cash, 15000 Dcu 1,1 '• ,, '.i(.KJ(X) 1890, I I I Mar. 12,, " j looOO CASH BALANCE. 67 "^* _ '^-J^^^^^Kay in Account with F. rinch. Cr. 18fX). Apr. 15 I To mdse. , June 4 .Tuly 25 Sept 12 u u 1( $ !c.'rri89a 55000 i July 1 By cash, Sept. 15 Oct. 27 KJOOO 400 00 100 00 11 « Ic. 400X)0 250 00 350,00 Dr. John Maginn in Account with W. W. Ooult^r. Cr. Oct 22 Nov. m 30 d. 1 1250 00;; Dec. net. I 300 001!, 150:00 dI: S"l8?;l^r^\S^,- '^^ ^^""-n^ account to ^ 5^arry Misner in Account with Frank Moore. Cr. i ^ |C. 300 00 [200 00 200 00 May 27:Tomdse, 2 m. 560 00 ^ June 25'By cash June 1: •' 10 d. 200 00 ,| Aug. 161 - ^ ' ^•___ ^: ^': <^^riffith in Account with Jas. Lilly. Cr. J^^' 1 L ~! \fJT^r^^~mt~i~^^' — ^~"^=^ - Sept ITo-mdse. 10d.!300 00 Oct 15 By cash Oct In « Im. 2.50 00 Dec. 1 -notelm Aov. 8 - 80 d. ;250 00 1888. ""^ ^ "> , B^12 - 60d.l;i6000 Jan. 12 - cash. '2OOOO Jan. 'l - net'^0000 u 1 ;; note lOd 150 00 Mar. 16 ^ ^J.t gSS ^' ^"^^' ^^^^ ! $ ic 300 00 400 Ofj 68 BANKRUPTCY. BANKRUPTCY. 1. A morchant failed witli liabilities amounting to $7oOO() and assets amounting to $27(XX How many e^nts can he pay on the dollar? What sum will he i.ai.l to a creditor whose claim is $675 ? ^,'ll '^"^^ ^- Thompson failed with assets amounting to «.-i«>K) and liabilities amounting to $12050. How inuch will each creditor receive on the » *"wi»««H, A investing $1750 B « 9a0, and C $1000. If gai„« and lo.,.eH were to le divided ^^T^Z^^r'^ ^"^-^^^' ^"- ^^-^^ ^ ^a^n Of a Jones and Bro™ ent,,,,-! i„t„ portnorehip Jones in snouia receive for his service*- «l9nn „ i t. a2000 Af vv, • 1 " , **'^^''^*'' '1^'^ a year and Brown S^OOO At the end ot the year ii: wan found that their gain wTriTbJ f^ ^""^^ *^' ^'''''«' ^^ ^-- -'^ 'o'^s T 1^ .V, '''^ "" Proport,lor, t^ capital invested, how should this profit be divided ? $9^"^' A^. r^^ ^. ^r'""^ ^ partnership, each investing the end of 9 months B withdrew. $m. U was found 7h!f the. net ,ain during the year an.ount<,d JZ^^l^X vested, how should this gain })e rlividiwl ? 5 Beatty, Smith and FerguHnn formed n partnership Beatty invested $2000 for six r„<.„th«, Hm. h $150^tr 9 months, and Ferguson $1000 rr,r 12 mont.im TTnl V Z gain of $3000 be divided y ^ "'""t,ns. How should a <). A invested $3000 for 12 n'. and C $1500 for 10 mon^'is, i ■uit as manager at a sala? ^•«,'R $2000 for 8 months. wan agreed that A was to ^) tt year, and that B was .0 take charge of the ,..M at a "alary of ,1200 a year. PARTNERSHIP, 71 Their total gain during the year, exclusive of salaries, amounted to $0000. How much should each receive ? 7. A and B formal a partnership, each investing .S3000. At the end of 8 months A withdrew $2500, and at the end of 10 months B withdrew $1500. At the end of the year their resources were $7550 and their liabilities $2750. If the gains and losses were to be divided in proportion to capital invested, what was each partner's gain ? ^ 8. A, B and C formed a partnership, investing in the pro- lx)rtion of 3, 4 and 5 respectively. At the end of six months A withdrew J of his capital, and B | of his capital At the end of 8 months B withdrew f of his capital. If gains and losses were to be divided in proportion to capital invested, how should a gain of $3000 be divided ? a At the end of a certain year the assets of a firm amounted to $7500 and their liabilities to $2500. The three partners invested in the proportion of 3, 4 and 5. If the net gain during the year was $1200, how much did each partner invest V 10. The assets of a firm of two partners at the end of a certain year consist^ of cash $2000, bills receivable 81500, personal accounts $1200. Their liabilities were, bills pay- able $1200, and pei-sonal accounts $2500. If the total gain during the year was $2500, and neither partner made any withdrawals, find the insolvency of the firm at the begin- ning of the year. 11. A, B and C entered into partnership, A investing t of the capital, B I and C f. At the end of six months A with- drew I of his capital, B J of his, and O J of his. At the end of the year their assets and liabilities were as follows: Assets— cash $3000, bills receivable $2150, merchandise $1750, and personal accounts $1000. Liabilities— bills pay- able $2000, and personal accounts $1200. If their not gain 72 PARTXEUSFUP. vest . \\ hat was each partner's share of gain ? 12. A and B engagal hi business on Jan. 1st, 1891 each nvvestn,, ..000. On Mar. 1 A invested SlOOo'additira, .1?^^^!/"'^"''^^^ *'^^^^ additional, and on Oct. 1 he Withdrew ^3000. On June 1st B invested $900 additional and on Sept. 1st he invested SHOO ad.iitional. If gains an.l osses were to 1. .livided in proportion to oapitarinveste0HgaLf^^^^^^ lo^es were to be divided in proportion (o capital ^invest, liow should a gam of !!i!2n00 be divided ? 14. A. B and C entered into partnership on .Tan. 1st 1891 A investing .^2.500, B .1^2000, an.l (! SirxX). On Mar 1st A mvested mm^ additional; on July 1st he invested .^2000; on On T f fVn'"''^^ '^'"''' "" """^ ''' h« -i^^^^r^- ^:W.. J^^^ t"""'""'''^ •^-'^" auditional; on Oct 1st he withdrew Uim. On.rulylst. Aug. 1st. and Sept 1st r mveste.1 .$.00 additional. On Nov. 1st he withdrew .$KX)0 How should a gam of S8200 be divided ? 15. A, B and C formed a partnership on .Tan. 1st, 1891 It was agreed that they sho,ild invest e-piallv and share equally m gains and losses, interest at 8 % to b; allowed on the excess and charged on the deficiency of each partner's miun^ investnient. On .Tan. 1st A invested $3000; on S'o^"ndd-t 7^^^^-^"/^^^' -d on Oct. 1st he invested J800 additional. On .Tan. 1st B invested .S2509; on Oct 1st he mvested $500 additional. On Mar, 1st, B invested .$2500 How should a gain of $;}000 be divided ? lst';89t"'^T.''"'^^'^'''/''''''^ ^"*^ partnership on .Tan. 1st. 1891. It was agreed that Griffin should contribute § of PARTNERSHIP. 78 the capital and Drake .\, interest at 10 % to be allowed on the excess and charge^oM, ami Joi.o. paid J?19r,0. Jones collected «H<{75 and Brown collected S2950. If Jo„o. worked 298 day.,' and Brown J47 dav. ^ow .ho.ld tho partner. ad,.t their 20. A and B formed a partno.vhip. investing e.|ual1y, and agreeing to share eci„nlly in gains and losses, ft was agreed t^.at A should receive a salary of ^1200 a year, and B S900 (.was employed as book-keeper at a salarv of $10(K) a year At the end of the year it was found that\heir gain, exclu- sive of salaries, was .$2880. It was decided to divide the proht. How murth of the money should each partner get ? ^i'''?«.'',nn''"^^'^'"*''''^ ^""^ partnership, invesling §3000 and $2' .00 respectively, and n- -eeing to shan- ains and losses in proportion to Investments. At the end .>' ^he year the liabilities exceeded their resources bv .«17o0 j, , ,l each partner's insolvency at the end of the year. '22. A and B formed a partnership, each investing $B00i. and agreeing to share equally in gains and losses. Dnrin.^ the y ar A withdrew .?120, and B .^570. At the end of the year their net ,^ain was found to be $1000. Their resources .^'Mm "^'""^ "'' '" '""^^- "-^'^^^''^^'^ ^h-'- "'-^^iHties b; '^.)100. How much cash had they on hand ? •>^. A and B entered irto partnership to manufacture iZo V''''7":''''''^""'''"? "' -' annual rental of SJOO. B was to do the work at a salary of $2.25 a dav. A advanced B $. .;). Diirino- tho tto. .. \ # -i i t ^'"'"^t'lP year A furnished material at a cost r 37o. and revived from sales .$.i987. B paid M^f Y>'^ r '"^""^^ '^ ^''^' ^"^' ^^^'^'«^1 '-om sales mo3 A b...ght irom B a horse for .$175, and from the firm machinery to the value of $29u. At the end of the vear they had machinery on hand valued at $570. ifB^uur t'l ted ?'''''''' '"^ '^' ''"'"''''' ^"^ '^'""'''^ " ^'^"^-^ "*" PRACTICAL MEAsrUEMFA'T,S. <•> PRACTICAL MEASUREMENTS. (Hcfoi-o taking up tliis subject the Ktudcnt should have a t liorouRh knowledKC of Square Itoot.) llrhv. l._To find the length of the hypotenuse of a light-anKled triangle, the perpendioulur height and the base being given add tog(.< T the squares of the lengths of th.' 1 wo sides enclosing the right .ingle, and extract the square root, Kllk 2.-T0 find the circumference of a circle, multiply the length of the diuinetcr by y (or more acMJurately, 3.1416). Ult.b: 3.-T0 find tho area of a rectangle, multiply the length by the bread! h. RrLR 4.-T0 Hnd the area of a rhomboid, multiply the length of the base by the perpendicular height. lU'i.E 5.-(a|. To find the area of a triangle, multiply the length of the base by the nerpcndicular height, and divide by 2. (b). From half the sum of the lengths of the three sides sub- tract the length of each sde separately. Multiply together the three remainders and half the sum of the lengths of the sides. and extract the square root. Rile 6. -To find the area of a circle, square the radius and multiply by ^s (or more accurately, .3.14UJ). KuLR 7.-T0 find the volume of any six-sided figure having its opposite sides equal and para' ;, and having all its angles . ight iingles. multiply together the length, bnwdth and thickness. Rlxe 8.-T0 find the volume of a tj, Under, multiply the area of the base by the perpendicular height. Rule 9.-To find the area of any figure enclosed bv straight lines, divide the figure into triangles and add together the sum of the arcsas or the triangles. 1. I liave a fielf^ in the shape of a right-angle 4 trianglo. The lengths of the sides enclosing the right angle are 30 and 40 rods I'espectively. (a). Find the distance around the field (b). Find the area of the field in acres. 70 PUAf'TirAL MEANirREMENTS. 2. Find tho area c,f a iwtangular fieM 10 r.).l« 10 vd^ long by H2 i-ods 10 yds. 2 ft wide. 2J. Find tho aiva in acres «f a circular racocoiusp l of a mile ni diameter. "* 4. What is the vahie of a pile of wor.l 4 ft. wide, KiO ft. long, and 2 yds. high, at $1.50 a ooivl ? 5 What quantity of iumW will be re^iuired to enclose a bm dn>g 80 ft long. 40 ft. wide and IH ft. high, the height of the gables being 15 ft. (four walls and roof) ? 3 in wide at one end and 18 in. wide at the other, at'^do pei- thousand feet ^ 11. What will it cost to enclose a sherl 24 ft Ion- lo ft wide and 8 ft high at one end and ft high at thr otier! with lumberworth $25 por thousand feet (walls and roof)? 12. Find the cost of carj^eting a room 80 ft long and 25 ft wide, with carpet 25 hy. wide, and cost 05 cts. a yd. 18^ A circular rac^ourse, I of a mile iu diameter, has a track ai-ound the inside 22 yda wide. How many acres does the track contain ? "^ *^iesuoes PnACTirAL MEASrURMENTS. 77 , 14. What will it cost to plaster the four walU of a room 80 ft. long, 20 ft wi.le, au.l 10 ft high, at KJ cts. a s.niaro yani, allowing ^ f„r doors and windcjws ? I-^ A cow is tethered witli a rope 4.5 ft. long. Over what area oan she graze? 10 At «80 i)er thousand feet, what is the value of 10 l>oanls, each 18 ft. long, 10 in. wide at one end and 8 in wide at the other ? 17. How many cubic feet are containe«l in a stove pipe (J ni. in diameter and 40 ft lono-v la What will be the cost of carixiting a room 45 ft. long by Jo ft wide, with carixit 2(J in. wide, and .costing «1.80 a yard ? " 19. A and B start from the .same place, A going due north and B due east. If A travels at the rate of 3 miles an hour, and B at the rate of t miles an hour, how far apart will they l)e in 12 hours ? 20. A room is 80 ft long, 20 ft wide, and 10 ft. hi^^li. How many yards of paper 27 in. wi.le will it take to cover the four walls and ceilino- ? 21. A gallon measure is (j inches in diamet<^r. How deep is it. if 34;^ cub. hi. est at the rate of Eight per cent, per an- m|!,, . ,. J^"'"^ .Tones. iiie note was discounted I>.c. 12, 1891 at 10°/ (a). Find the present wortli, using bank discount. ^ ' true " z^:'^^:^jz "^'^^ ^!-'^ ^^ii«^' -1 with the If I paid 1% proceeds p.xrchased 3^ of stocks at 57^. ,, , pa^.i ^ y brokerage in each case, how much is my income increased ? 13. Find the expiated date for the payment of the balance oi tne folloAving account: — ?^- _____Edwaudj1nderson. Cr. M^. fTomdse.^d..2^|(X),i! May 12:By cash. I 2^!(£ M^vl^ " f'^'i'ffim l-i^r l'"«otelOdi:100 00 Jiay i.. 1 ^n. I 800 00 ' .Tu v 8 "cash -^(^ind JuneK) " net.,l(X)()0l ' [ ' ^^^^ U On Mar. 12, 1891, I borrowed a sum of money on my note beanng naterest at the rate of 5 % per annum. On May dl, 1891. I paid 8637 as principal and interest. What was tlie face of the note ? 15. How many yanls of cari,et. 27 inches wide, will be requu-ed to carpet a room 40 ft. 8 in. long and 31 ft G in wide ? . "I. I CrEXERAL PROBLEMS. 81 16. An insurance agent accepted a risk of $18000 at |% premium, reinsured ^ of the risk in one company at | % pre- mium, and ^ of the remainder in another company at | % premium. What did the company gain or lose by reinsur- ance ? What per cent, premium did the company net on the remainder of the risk ? 17. Two pulleys, 7 inches and 4J inches in diameter re- siiectively, are connected by a belt. If the larger pulley revolves 3150 times hi a minute, find the rate of the smaller pulley. 18. On Mar. 1 a merchant sold an invoice of goods for 8360 on two months' credit. He received a note for the amount, bearing interest at the rate of 8 % per annum. On April 3 he discounted the note at a bank at 10 % . How much did he receive ? How much would he have received had tlie note been discounted bj' true discount ? 19. Find the duty on an importation of watches valued at £200 10s. 8(1, at 10% ad valorem. 20. A grocer bought sugar at $8 a cwt. Suppose 4 % to be lost in handlin^c- how many lbs. must ho give for a dol- lar so that he may make 'i profit of 1-2 % on the cost of the whole. 21. Find the value of a triangular field, whose sides are 30, 40, 50 rods in length respectively, at .filO an acre. 22. I remitted to my agent .S.')08.95, to invest in potatoes, after deducting all expenses. He paid §16 for bbls. , *38. 60 fordrayage, and charged 2i % commission for buying. How many bbls. did he buy, at «2.25 a bbl. ? 23. A man bought 24 shares of stock at IH-^. and sold the same at a. net profit of !§27. At what quotation were they snid. lirnke^'no'" "i linfili nn^ci 'iy^^U-^n- i o/ 'J _., ... ,.„ . ,,._^ ^ ^.^^ , 24. On a note for $4500, dated Mar. 1. 1^89. and l)e.aring interest at the rate of 6 % j,)er annum, the following pay- ri; I ■;■'*■ IWt > I* ''' 1 82 GENERAL PROHLEMA ments were made; April 10, 1889, §300; Sept. fi, 1889, $10- Mar. 22, 1890, .^100. What remained due Mar. 1, 1891 ? ' •2">. A firm failed, with liabilities amounting to $1200 and assets amounting to r>83.10. What dividend can they pay on tlie dollar, if the expenses of the assignment ai-e /^ % of the amount distributed to the creditors ? What amount will a creditor n^^-eive who has a claim of *3(J0? 2f5. For what sum must a note l)e drawn at (50 days. s„ that when discounted at a bank at the rat^ of 10°/ t)er an- num, It will profluce $172.30? in'widy'n^ir;*'^' ^^^^ ''' ' i"«^'-^'-anls.. 10 ft. long and 10 in. wide, at S2.) jK^r thousand feet V 28. A c.an cut j^ of a cord of woo 1 in 2:-] days. B can out o a cord n ^ of a day. In what tim^ c^ thev ^ s' conls, working together ? - •' coUectmg, however, S of the accounts wem found to be liaAc lost 20^ on sellmg price of the second lot. What was my gam or loss per cent. V ' 30. A commission merchant charged .«S7.20 commission U>r selhng a^consignment. If his .-ate of commissir ZJ %, how much did he remit the shipper ? "^ 31. At what price must I mark goods which cost $10 20 a yard so that I ean allow a discount of 10 y on the marke. pnce and still make a profit of 10 % on est, alio ! ^ng 10 % of sales tfj lie barl debts? 32. What will he the cost of a bill on London f(,r £10 8.. t>d. , exchange lieuig .piote(i at 8 % premium ? 33. I buy jK^ns for f>0 ctB. a gross, and sell them at the ^ate of h pens for 5 .ts. What per cent profit do I make ? c t ftM.', Ji\' i^ CtEneral problems. 83 } ^IL """^ mast a house be insured which cost ^6m so that in case of loss I may obtain both the price of the house and premium, if rate ot premium is 2J % ? BT). A merchant buys a quantity of syrup for S1512. Bv rT^^L'' ^""^'^ '"^^'"'■''' ^'^^^ bymarkinghisgoo mm is 12 ft. hi^h what will It cost to plaster the four wallx and ceiling at 40 cts. a s- ft. wide, ana 10 ft. high, in which there are tnree windows 3 ft. by t{ ft, and two d(x)ips 4 ft. by 7 ft., with pajier ;^0 inches wide, and costing 8 cts. a yard. 86 GENERAL PROBLEMS. !• J!: ^wk"/"° '" ''"^^'^' ^^^ ^^^ ^ ^^^° 25% on selling pnce. What per cent of cost do I lose ? 00. A merchant marked cloth at an advance of 40 y on cost, and m selling used a yard measure one inch too sh^rt. What per cent profit does he make ? 01. A jeweller marked goods at an advance of 20 y In selling however, his clerk gave a lb. avoirdupois wei^t in- stead of a lb. troy. Find the .ieweller's gain or loss ^r cent. 62. A boy agreed to work a year for $100 and a suit of clothes. At the end of 8 months he throws up the iob and receives 860 and the clothes. What were the clothes'valued 63. An insurance company accepted a risk of 81760 at U % premium, and immediately re-insured | of the risk at U A premium. What per cent premium did the company net on the remainder of the risk ? ^^iLn-^T^ T' '''"^^''^' ^ ^^^^-^^ ^" 7 months, and $376.20 in 9 months. What is the rate per cent ? 65 The exi^nse of constructing a railroad is 825,000,000 One-half of this sum is bon-owed on mortgage at 5J %, and the remainder is held in shares. The shareholders revive a yearly dividend of 6 %. If the expense of running the road LSpts? ^'"' '''''^''' "^'"' '-^^ <^^^ average weekly 66. A dealer marks whisky at an advance of 50 % on cost He afterwards finds it necessary to reduce the marked price ^0/ mat proportion of water must he mix with the whisky m order that he may still make a profit of 50 % on ^ 67. A and B entered into partnership, their insnlven.^ oeing m the proportion of 2 to 3. At'the end of the year thfu- assets and liabilities were as follows: ^ GENERAL PROBLEMS. 87 i> «♦ LIABILiriES. Notes outstanding . . .$200 Accounts due by firm, 150 ASSETS. Cash on hand, $2G0 Mdse., 540 Notes and accounts, . . 200 During the year A withdrew $160, and B invested i|80 addi- tional. If their net gain was $1500, what was each part- ner s insolvency at commencing ? What is each partner's present worth ? 68. A farmer buys a triangular field, ABC. The length of the side AB is 50 rods 10 ft, and of the side BC 40 rods 4 S*- y^^ '^^^<^ance from A to the nearest point in the line BC IS 30 rods. How many acres does the field contain V 69. A note for S1200, dated Jan. 1, 18P9, and bearing in- terest at the rate of 10 % per annum, has . lorsed on it the following payments: Mar. 11, 1889, $300; Sept 3 1889 $20; Jan. 2l, 1890, $100; Mar. 3, 1890, $150. What re^ mained dne Dae. 23, 1890 ? 70. A merchant buys coal oil at 20 cts. a gallon, and mixes 1 gallon of water with each 5 gallons of coal oiL He sells the mixture at 25 cts. a gallon, using a gallon measure one-half a pint too small. What per cent, profit does he maki!? 71. A and B entered ato partnership to run a flouring mill, A owned the mill and rented it to the firm at $350 per annum. B was employed as miller at a salary of $475 a year. It was agreed that A, who owTie^9ment be effected ? If A purchased B's interest in the biAiuness, how much should he pay him ? 88 It:' ANSWERS. ANSWERS. COMMON FRACTIONS. (PAGE 7.) (1) 205. (2) 1208jV, acres. (3) S.im 294; difference 41 : product 208i; quotient IJ. (4)83.281. (5) I923g bushel' (0) M of a ]b. (7) mm,^,. (S) 8S7.03. (9) 393j« lbs. (10) li? days. (U) eS of the cargo. (12) ^ of a lb. (13) 3y minutes. (14) 5,^„ days. (15) The f. rmer; 8|5 J cents, (lb) U' (17) Lot cost $704; house cosi .$1056. (18) 7* days. (19) First year, $1(54; second year. 8J24f5 (';'0) r,-,o (21) $311876.75. (22) 7 boys. (23) A f and B ?. (24 1 of the farm. (25) 48i3« miles. (26) ^i, of money." (27) X of a dollar. (28) 281 lbs. (29) 14y houT-s. (30) A has 35 cts. ; B has 56 cts. (31) 1,% ^lays. (32) 72 miles from St. Thomas; 20 miles from St Thomas. (33) Each boy has 10(5 ac. 8 roods 20 rods 6 ft. ; each girl, 53 ac. 1 rood 30 ro.ls 3 ft (34) .$83.70. (35) 1,4 acres. (36) $9. (37) A 45 cts. ; B 30 cts. ; C 20 cts. (38) A 87 cts. ; B 96 cts. (39) $6 08 - (40) 2\ of cost. (41) $585. (42) D paid $84 more than A. ^ J) ^.40. (44) 120 miles. (45) Jij of proj^rty. (46) A $1.24 A- B$.93g'V; C$ .8211. -^' DECIMAL FRACTIONS. (PAGE 12.) (l)156.5(Jo431bs. (2)15.00984. (3) .036768. (4) .580064 (7) $ .390620. (8) .40625; .34375. (9) .5625 of tho farm (10)28.0395. (11) $2.99. (12) 5.(5511 days. (13)1.119879. (14) $3(i9. (15) $5610. (1(5) 29.085; .50.1. (17) $18.18 -. , (18) A had 156.00875 acres; B had 167.94625 acres. (19) 190.125 miles. (20) 8,59375 cents a yard. (21) $960. (22) .05625 of invoice. (23) .148129; .73177. (24) .8640625 of ANSWERS. 89 i farm; .1359375 of far.n. (25) .2421875 of money. (2tf) .59%2u too .small (27) 81875+ revolutions. (28) 5ft 111 + 'a?!"!!; . f '^^ ^^ ^^- ^^ "^^'^ *^ «^ (30) 4. 5714 + weeks. (31) 814.4.,+. (32) 12.43+miles. (33) .0125; ,^„. (34, 1 he quotient is 3i< i.nes greater than the product (35, ;5!22l.079+. ^ ' DENOMINATE NUMBERS. (PAGE 15.1 (1) £31 Us. 4d (2)828.60. (3) $2.55. (4).S5.44. (5) 8I3.78+. (0) 15 inches. (7) .$23.15-. (8)!S53.«>2- (9) 2112 revolutions. (10) 14 bus. 2 pks. I gal. 1.^ pts. (11) 413. doz. (16) H boys. (17) 1(5 cents. (18) $4.73'! (19) 1 mi 3 fur. 19 rods 3 yds. 2 ft. 8? in. (20) £19 14s. (if «d; $3 (1).S819. (2) $113.40. (3) 443.52 acres. (4) $7344. (5) fn %. («) 7m %. (7) 21.^ %. (8) 12^ %. (9) 3280 Flinch. (10)4Hr^. (11)24000. (12) House cost $2402.- oO; lot cost $1937..50. (13) Horse cost $105; buggv cost 3125. (14) $26728. (15) .50%. (16) A has 58.^2:6 has 4l (1) $15.(52. .2)35^%. (3)25%. (4) 80 cts. (5) 6^ %. (10) 34 cts. (6) $ii\- (7) $19. (8°) $37.20. (9) 1U%. IMAGE EVALUATION TEST TARGET (MT-S) k // ^/ ^ .^\ ,V .^ ^v ^'^/^ / f/. & 1.0 I.I am £ us IIIIZ 11:25 i 1.4 2.0 18 1.6 jlIj Sciences Corporation 33 WEST MAIN STREET WEBSTER, N.Y. 14580 (716) 872-4503 iV V <^ > •Pl.^ 90 ANSWERS. (11) Gained 4%. (12)292»^%. (13) Lost SI'?. (14) $538.30 (15) |4ia50; $223.20. (16) $2704J»,V (17) $4.16S. (18) 12J%. (19) log lbs. (20) $2304. (21) 81^?°/. (22)141* %. (23)G6^%. (24)4%. (25) 11^ % loss. (26) Lost $83* (31)20M%' ^^^^^"^^- <2^^^*«*«- (30)12J%;6cts. TRADE DISCOUNT. (PAGE 24.) (1) $492.48. (2) $113.40. (8) $138.2.5. (4) $130.37. (b) 8120.25. (6) $123.63. (7)28%. (8)46%. (9) $10. (10)$5. (11)81.33^. (12) 1 % off; 2 cts. (13)26§%. (14) 25 eta (lo) $2.oO. (16) $55. (17) $1.80. (18) $125. (19) Lost 48ets. (20) Gained 2 ots. (21) 23 % gain; $2.60 gain. (22) 60%; $2.40. ^ ' COMMISSION. (PAGE 26.) (1)$9.61. (2)3J%. (3) .$59.28. (4) $288.7.5. (5)625 baskets. (6) $13.23. (7) $6480. (8) $5912.38. (9) 2» % (10) 64 basketa (11) $3095.50. (12) $ia29. (13) $1.593^V^.' (14) ^ %. (15) Received $3605 for the grapes; paid $3430 for the wheat (16) 4^ %, (17) $123. (18) $237.45. (19) $123. (20) $168.87. (21)844?!. (22) 46^*^ cts. a lb. (23 22|3 8ibs. (24)1J%. (2.5)$*50. (26) 75 bbls. (27) Face of order, $269.65; 3{>^\% cts. a lb. (1) $1.08, (6) $2.06. (11) $1.86. (16) $10.89. SIMPLE INTEREST. (2) $6.72. (3) $1.42. (7) $18.33. (8) $1.91. (12) $8.37. (13) $2.69. (Page 29.; (4) $17. .50. (9) $ .38. (14) $ .97. (5) $34.34. (10) $1.50. (15) $1.25. (17) $44.98. (18)133.47. (19) $13.73. (20) $17.66. (21) $10.96. (22) $3151, (28) $8.72. (24) $26 36 (25) $1.47. (26) $1.80. (27) $9.30. (28,S20..53 ^99)^10 84* (30) $37.20. (31)8%. (32) 97 davs. (88) $760. 4a '(84) f <^ i> f <» I ANSWERS, 91 $480. (35) $7426. (36) Gained 36 cts. (H8) 12J %. (39) .^1875. (40) 13J years; 14|| years; (37) Aug. 12th. .. • ' o ./ 7 — If years; 10 years. (41) April 18, 1891. (42) Second offer; tbii-d offer; second offer. (43) $1876.27^. (44) V- (45) $250. (46 8720. (47) Gained $4.68. (48) $666.97. (49) $91.18 COMPOUND INTEREST. (PAGE 32.) (1) $927. (2) $593.10. (3) $810.15. (4) $347.77 (5) $-455.87. (6) $71.71. (7) $40.54. (8) $10.70. (9) $128.99 (10) $160.03. (11) $2.88. (12) $16.98. (13) $578.85. (14*) $73.83. (15) $1264.42. (16) $883.85. (17) $110.42. 18 $1858.87. (19) $246.33. (20) $13.77. (21) 10. 38+ per cent (22) 3 years 9f ma (23) Gained $63. (24) $450. (25» $51.84; 107,«,%. ^'^^ PRESENT WORTH & TRUE DISCOUNT. (PAGE 34. > (1) $541.43; $2.17. (2) $279; $2.17. (3) $564.58; $21.17 (4) $275; $9.90. (5) $162; $4.50. ((i) $1476; $105 78 Itn *«^; 5f •^^- <^^ ^122; $18.86. (9) The first offer! (10)$737.r3. (11) $126.63. (12) $22.99. (13) $28''0 12 (14) $602.36. (15) $806.16. (16) $602.82. (17) $117 87 (18) $9.78. (19)671.(J8. (20) 58 cts ' ' BANK DISCOUNT. (PAGE 36.) Jl! ^"T'/' ^^^^' ^^ ^^y^' ^**'^5 $445.05. (2) April 24, 1889; o4days; $272.52; $272.55. (3, Jan. 15, 1891; 64 days; $491.11; $491.27. (4) Nov. 25, 1890; 10 dLys- $17o.06; $175.06. (5) Jan. 13, 1892; 52 days; $3709.37- $B/09.8l. ((i) Mar. 5, 1888; 4 days; $2568.57; $25(58.57' (7) Feb. 8,1891; 30 days; $2996.82; $2997.02. (8) Aug 7 1890; 37 days; $166.54; $166.55. (9) Julv 8, 1891; 33 days; $1255.65; $1255.75. (10) Sept 19, 1890; 28 davs• $1476.29; $1476.84. (ll)7cte. (12)1 cent (3) $11.26' 92 ANSWERS. I (15) S5.15; $5.18. (16) $9()0. (18) $13.3.-). (19) $240. (20) $11.41. (14) .$1.04: $1.05. (17) r4%; 483 days; !^50. S720. (2V mo. (22) Fii-st note was drawn at 60 days! $2522.77. (23) $l(i82.65. (tU) Accommodation note -. .s drawn at 30 days. $1271.83. (2.5) $999.09. PARTIAL PAYMENTS. (PAGE 40. » (1)$4!>(U2. (2) .$778. 42. (3)^121.91. (4) Sl-i82.82. (5) On June 18. 1891. he overpaid the amount due by $158. 16 (6)$130<-i.09. (7) $1774.83. (8) $31.5.03. (9} Note should read, "Sept. 2, 1889." and "Jan. 1, 1890," $2065.53. (10) $199.13. (11) Should i-ead. "Dec. 31, 1892," ,$44079. (12) $906,43. (13) Should read. •• June 12, 1889 " $800 87 (14) $288.9(5. (lo) $2r,.97. ' . • • STOCKS AND BONDS. (PAGE 43. > (1) $194.2.5. {2) mm. (3),$;^834. 121 shaim (5) aa. (G) The latter, by iH %. (7) 6? v .ks. (8, Lost $5. (9) 88 shares. (10) $3017.50. (11) $32. (12) $(}44. (13) $3100. (14) 192i shares. (1.5) $(218. (16)80. (17) 8U °/ (18) $100. (19) .$344.50. (20) Increased $40. (21)DecreasS S181./4+. (22) Gainefl .$45. (23) 36 shares. (24) 8,i °/ (25) $23480; $20 (26) $16. 05. (27) 3^ %; 4g % ? i u FIRE INSURANCE (PAGE 46.) (1) $10.50. (2) $1280. (3) $191.25; JJ %. ,4) $'^o00- $1875; $1125. (5) ;| %. (6)31§%, (7) $2200. (8) Gainecl <57 cents; |^ %. (9) $1728. JlOf $5049.84. (11) i5 % (i2) $960. (13) .$7.50.50. (14) ^i^m^bTJlb) |« %; $5600; $4480; $3920. (16) 34 cents. (17) .$20514.36. (18) iiR1440- $96o' (l»)i%. r20)*i{%; $122.50. (21) $5126.2(5. (22) $5357 14* ANSWERS. 93 TAXES. (Page 49.) (I)m40. (2) 121 mills on the dollar. (3)m50. (4) 1^ 1.111s; m40. (5) $12.75. (.i, 7i mills on the dollar. (0 ,-o of a null on the dollar; $1505. (8) 13^ mills on the ™or^'l ^" ^''^ ^'''- ^''^ ^- -hool purposes, «i.>o9i.4j(,; f„r general purposes, $15802.584. (12) For gen eral purposes, $9.60; for frontage, $4.80; for schools, «510.8U; for sewerage, m.60; total amount, $34.80. (13) 5i nulls on the dollar. (14) $134. 442. (15) 9^ mills on the dollar. (1(„ 13 mills on the dollar; $20(5.43. (17) 2 cents on the dollar; $35; $42. DUTIES AND CUSTOMS. (PAGE 52.) Ji\^^?'^'^' ^^^ ^'°* sufficient data given. (3) 93^ cents. (4S26.10. (5) $49.40. .(6) $6.24. (7) $350. ^8) 90 cents (J) oO cents. (10) 76 lbs. (11) $97.97+. (12) $50.44. (13) S.>.0(, (14)$.mf>0. (15) .$1570. 5(}. (16) $88. 17 clJ2. ol — , ' EXCHANGE. (PAGE 54.) (1) $1204.50. (2) $853.55. (3) $3(J80. (4) £98 19s. 4rd (o) $72o0. (6) (new par) $4:-380. (7) Should buy bill via New^ork; via New York, $991.98; direct, $1002.50. (8) ^194' n .v- <1^) Chained £26 15s. Id-. (14) Lost m,)A,.. (lo) Via London, $228.12; direct, $222.22. (16) The merchant would owe agent $42. 77. He would therefore lose this amount together with value of goods. SIMPLE & COMPOUND PROPORTION. (Page 56 ) (1) $5.94. (2) $1.35. (3) $15.62-. (4) 38 horses. (5) $lto nminf;"" <'^ ^^^^^^^ <> "^^»- (8) m (9) $16; .SII.0O. (10) 101 days. (11) $27.72+. (12) $2.01+. (13) 94 ANSWRRS. *Ai<.oa (22,H0,«. ('28) »m™. (it, «10. 10. ,.,5,70, mm. ^" ' s STORAGE. (Paqc 58.) ,,,^'Vf5-*'^- <2)51U.05. (H).S2()t.lW. (4,)^s.5(). (5) $14.82. (0)$al..2. (7).*.Uf)4. (8)«.5l.5l. (9) .^40.22. (loj »1,Uh. EQUATION OF PAYMENTS. (Paqc 60.) (1)10 months. (2)mn (8) 5l nionthn. (4) HH muntl.s o o months. (U) 13 ^ days. (7) Oct 80. 18f)(). (8) 27 .lavs' i1a "^J'licf (1=^) O^'^ 22, 1891. (14,Mar.2H.18c„, (lo) Aug. 2, 1891. (Ki) Nov. 28, 1889. (17) IXx- II |89() (18) April 7, 1890. (19) Mar. 22, 1890. (od/.rla' !,' Lua! AVERAGING ACCOUNTS. (Paqe 63.) (1) Mar. 11, 1890. (2) June 21. 1890. (8) Fob 18 1891 mf^rf is:;- ^^^ «^^^^ 1'^' ^« oVMann'.Z; (7) Sept. 9, 1889. (8) Jan. 19, 1887. (9) April 2 1891 (10) Aug. 18, 1889. (11) Oct. 28, 1890. ( 2 D 8 8^' (18) July 18, 1890. (14) Dec. 10, 1887 ^ ' '^^ " '^' ^«'^- CASH BALANCE. (Page 66.) (1)S2(J8.78. (2)?J580.o5. (8)^2.77. (4) .*i(l8.2n. (5) S289.49. ((5).$8.'-.a7f». (7) .$ 101. 25. (8) «812 17 BANKRUPTCY. (Page 68.) (1) 33 cents on the dollar; .S24.80. (2) 28 cents on the dollar. (8) A$t0.11; B.$104.25; C«31.20; Dl|o.r.7; I0«9.87. i il tlayH. \l 2. b. 18, 1891. ■r. H. 1888. )ril 2, 1891. 0. 18, 1888. 0)125. (5) Us on tho '; 10*9.87. ANSWERS. 95 (4)S3B41.mi. (5) A Sill37.;5(); B $2128.75; C «3432; D J!iill01.75: (i5 cents on the dollar. ((}) Estate can pay 100 cents on tlie dollar and have «2U0 remaining. (7) $1000. (8) 8i220(). (9) 41 ; oents on the dollar. (10) Creditors should not accept offer: 79i cents (.n the dollar. PARTNERSHIP. (PAGE 70.) (1) A $875; B $(J25. (2) A $1181.25; B $848.75; C $675. (B) Jones $2430; Brown $2820. (4) A $714.42: B $893.02; C $9.52. 5(). (5) Beatty $9()0; Smith $1080; Ferguson $960.' (6) A $3041.79; B $2107.46; C $850.75. (7) A $1233. 90- B $1566.10. (H) A. $707. 55; B $877. 36; C. $1415. 09 (9) $950; $1266.67; $1583.33. (10) $1500. (11) A invested $2400; Bmvested $1200; C invested ,$2400; A's gain $412.50; B's gain $229.17: C's gain $4i58.33. (12) A $1178.40- B $1221. 60. ( 13) Jones $1250; Brown $1250. ( 14) A $1563.80- B $955.66; C$(i80..54. (15) Should read. "On Mar. 1 C invested," etc. A $1033.1; B $1006:^; C $960. '16) Griffin $2702.78-; Drake .$1497.22 + . ('l7) Lenn. ^921.83 + - McGregor $1473. 67 - ; Gardner $2104. 5( ». ( 18 $795 56 • B $694.72; C $509.72. (19) .Tones should pay Brown $219.25^ (20) A $1090; B $790. (21) A's insolvency $10.50: B's in- solvency $700. (22) Such a state of affairs would be impos- sible. Why? (23) B worke. 1889." $0919.23. (9) $303.04. (10) 01 ft. 1+in. (U) (a) 100.5.79; (b) IOO6O2' (12) $25. (13) Mar. 9, 1891. (14) $030. (15) 189J yds. (Ki) Gained $0.07; fg %. (17) 4900 times a min. (18) ii!!301.98; $302. (19) .$97.59. (20) 10^ ibs. (21) $150 (22) 184 lbs. (23) $119. (24) $4000.04. (25) 55 cents on the dollar; $198. (20) $180.71. (27) $1.33. (28) l^days (29)Lost34Sy%. (30)^952.80. (31) $22. (32) $50.04. (33) '^^ %. (HI) $:-i092. 31. (35) 6 of a gal. (30) Gained $32. (37) $14. 4(;. (38) 115^H^ gal. (39) A $2922.40; $4083.00. (40) A 30 cents; B 30 cents; C 33 cents. (41) $240. (42) $185.00. (43) $7.35. (44)20%. (45) 34 bus. at 80 cents and K) bus. at 09 cents. (40) $83.34. (47) The latter by A%. (48) 20 days. (49) Gained £25 4s. OJd. (50) 48 cents on the dollar. (51) Not sufficient data given. (52) 45 lbs. (53) $0.10. (54) $330. (55) 13^ bus. (50) 7532 bbls. (.57) $1280.59; $1280.04. (58) $10.77. (59)20%. (00)44%. (01) Lost 10%. (02) $20. (03)1|%. (04)0%. (05) $110570 }|! (0(i) 1 gal. of water to 4 gal. of whisky. (67) A's insolv, ncy $308; B's insolvency $402. ((>8) 3 ac. 3 roo0. (22) ' on the 1 1 days. )i. (i-JH) ned $32. 4(583.00. 0. (42) :^0 cents itter by 18 cents 45 lbs. s. (o7) 3) 44 %. 0570 }|. 3lVi Ticy ods 27 i i pay B