4 C owes D a sum of money, which is to be discharged, viz. at 2 months, 4 at 4 months, at 6 months, and at 8 months; but they agreeing to make one payment of the whole, the equated time is required? answer 5 months. 5 E is indebted to F 240 dols. which by agreement is to be paid 5 months hence, but E is willing to pay him 40 dols. present, provided he will give him longer time to pay the remainder, which is agreed on; the time of payment is therefore required? answer 6 months. 6 P owes Q 420l. which will be due 6 months hence, but P is willing to pay him 60l. present, provided he can have the remainder foreborne a longer time, to which Q agrees; the time of payment is required ? answer 7 months. BARTER. ARTER is the exchanging of one commodity for another, by duly proportioning their quantities and values: RULE. Work by the Rule of Three direct, or inverse, or by Practice, as the tenor of the question may require. EXAMPLES. 1 How much sugar at 9d. per lb. should be bartered for 51Cwt. of tobacco, at 14d. per lb. ? lb. d. C. gr. d. Then, As 91: 10192 10 0 123 answer. Or, thus ; d per.lb.C.gr. d.per.lb.C.qr.lb. Inverse, If 14 : 6 2 :: 9 : 10 0 124 2 What quantity of tea, at 10s. per lb. must be given for 1Cwt. of chocolate, at 4s. per lb. ? answer 44lb. 12oz.+ 3 How much rice, at 28s. per. Cut. must be bartered for 310. of raisins, at 5d. per lb. ? answer 50. 3gr. 91b.+ but 4 A has linen cloth worth 20cts. an ell, ready money, in barter he will have 25cts. B has broad cloth worth 2 dols. per yard, ready money; at what price ought the broad cloth to be rated in barter ? answer 2,50cts. 5 Suppose C bas tea at 8s. 6d. per lb. ready money, but in barter he will have 10s. per lb. D has tobacco worth 18d. per lb. ready money; how must he rate his tobacco per lb. to equal the tea in value ? answer 1s. 9d.+. 6 A has nutmegs worth 1 doł. per pound, ready money, but in barter will have 106 cts. per pound, D has tobacco worth 10 cts. per lb. ready money; how must D rate his tobacco, that his profits may be equivalent with A's ? answer 106 mills. 7 A had 41 Cwt. of iron, at 30s, per Cut. for which B gave him 201. in money, and the rest in pork, at 5d. per lb. how much pork must be given besides the 201.? ans. 1992lb. 8 A has 320 dozen of candles, at 1,20cts. per dozen, for which B agrees to pay him 160 dols. in cash, and the rest in 'cotton at 20cts. per pound, how much cotton must B give A ? answer 1120lb. 9 K has 75 sheep at 14s. 6d. each, for which L is to give him 177. 12s. and the rest in Indian corn, at 3s. 6d. bushel; how much corn must L give K Pans. 210bu. 4qt. per 10 A and B bartered; A had 5C. of sugar, at 6d. per pound, which he gave to B for a quantity of cinnamon, at 10s. 8d. per pound, how much cinnamon did B give A ? answer 26lb. 4oz. 11 B delivered 3 hogsheads of brandy at 6s. 8d. per gallon, to C, for 126 yards of cloth; what was the cloth per yard ? answer 10s. 12 C has candles at 12s. per dozen, ready money, but in barter he will have 1Ss. per dozen, D has cotton at 18d. per pound, ready money; what price must the cotton be at in bar. ter, and how much must be bartered for 100 dozen of candles? answer the cotton at 19d. per pound, and 800lb. must be given for 100 dozen candles. 13 A has linen at 10d. per ell, ready money, but in barter Is. B has 3610lb. of sugar at 7d. per lb. ready money, and will have of A 35l. in cash, and the rest in linen; at what rate is the sugar in barter, and how much linen must A give B? answer the sugar 9d. and 1867 ells. 14 Two 14 Two merchants barter; A receives 20 Cut. of cheese, at 21s. 6d. per Cwt. B eight pieces of linen, at 3l. 14s. per piece; which of them must receive money, and how much? answer A 81. 2s. 15 If 24 yards of cloth be given for 5C. 1gr. of tobacco, at 11. 18s. per Cwt. what is the cloth rated at per yard? answer 8s. 3d.ş. 16 A barters 40 yards of cloth at 7s. 4d. per yard, with B for 28 lb. of tea, at 11s. 6d. per pound; which must pay balance, and how much? answer A 1l. 14s. 5d. 17 A has 71Cwt. of sugar, at 8d. per pound, for which gave him 124 Cwt. of cheese; what was the cheese rated at per pound? answer 4d.3. 18 What quantity of sugar at 8d. per lb. must be given in barter for 20 Cut. of tobacco, at sl. per hundred weight? answer 16Cwt. 8lb. B 19 P has coffee which he barters with B at 10d per lb.. more than it cost him, against tea, which stands Q in 10s. the lb. but puts it at 12s. 6d. query the prime cost of the coffee? answer 3s. 4d. 20 A and B barter; A has 121Cwt. of hops, at 21. 16s. per Cwt. but in barter insists on 31. B has wine worth 5s. a gallon, which he raises in proportion to A's demand: on the balance, A received but a hhd. of wine; what had he in ready money? answer 21. 12s. 6d. L LOSS AND GAIN. OSS and Gain is a method of computing the profit or loss on the purchase or sale of goods, &c. RULE. Work by the Rule of Three, or by Practice, as the nature of the question may require. EXAMPLES. 1 Bought 18 C. of iron, at 28s. per hundred, and retailed it at 3d. per pound; what is gained by the whole ? C. S. C. £. s. If 1 28 18: 25 4 Prime cost. 18C. 2016lb. at 3d.=291. 8s. sold for 2 Bought knives for 20 cents each, and sold them at 17cts. each; how much is lost by the sale of 120 dozen? answer 43,20cts. 3 Hats bought at 4s. a piece, and sold at 4s. 9d. what answer 181. 15s. is the gain per cent? 4. Bought 7 tuns of wine, at 171. per hhd. and sold it at 1s. per pint, what is the whole gain, and the gain per cent? answer whole gain 2291. 12s. per cent. 481. 4s. 8d.t 5 A draper bought 100 yards of cloth for 149 dols, how must he sell it per yard, to gain 51 dols. in the whole ? answer 2 dols. per yard. 6 Bought 60 reams of paper, at 2 dols. per ream; what is answer 4,80cts. lost in the whole quantity, at 4 per cent? 7 Sold 500 penknives, at 15d. a piece, and 9 per cent. loss; what is lost in the whole number ? answer 31. 1s. 9d.3 8 Paid 691. for 1 ton of steel; what is the profit or loss on the sale of 14 tons retailed at 6d. per p pound ? answer 1821. loss. 9 If a yard of cloth be bought for 13s. 4d. and sold for 16s. what is the gain per cent? answer 201. 10 If 1C. of tobacco be bought for 41. 13s. 4d, and sold at 11d. per pound, what is the gain or loss per cent ? answer 10l. gain. 11 A draper bought 100 yards of cloth for 564. how must he sell it per yard, to gain 151. per cent ? answer 12s. 10d.1 12 Sold 12 yards of cloth for 5l. 14s. by which was gained 87. per cent. what was the prime cost of a yard? answer 8s. 9d. +1 13 Having bought a parcel of goods for 181. and sold the same immediately for 251. with 4 months credit; what answer 116l. 13. 4d. is gained per cent. per annum? 14 Bought 300lb. of coffee at 4s. 2d. per lb. ready money, and sold it at 5s. per pound, payable in 8 months; how much was gained on the whole, allowing discount at 6 per cent. and how much per cent. per annu answer { 30 12s. 3d. whole gain per cent. 15 If, when cloth is sold at 7s. per yard, there is gained 10 per cent. what will be the gain per cent. when it is sold for 8s. 6d. per yard ? answer 331. 11s. 5d.+ 16 Bought a chest of tea, weighing 490lb. for 326 dols.. and sold it for 370,10cts. what was the profit on each lb. answer 9 cts. 17 Bought 12 pieces of white cloth, for 6l. 10s. per piece. paid 20s. 10d. a piece for dying; for how much must I sell them each to gain 20 per cent? answer 91. 1s. 18 If 28 pieces of stuff be purchased at 41, per piece, and 10 of them sold at 6l. and 8 at 51. per piece; at what rate must the rest be disposed of, to gain 10 per cent. by the answer 21. Es. 4d. 19 Sold a yard of cloth for 11s. 6d. by which was gained at the rate of 15 per cent. but, if it had been sold for 12s. what would have been the gain per cent? whole ? answer 201. 20 If, when cloth is sold at 7s. a yard, the gain is 107. per cent. what is the gain or loss per cent. when it is sold at 6s, a yard ? answer 51. 14s. 3d. loss. 21 At 1d. per shilling profit, how much per cent? 22 At 3s. 6d. in the pound profit, how 23 If by selling 1lb. of pepper for 10d. how much is the loss per cent? answer 12l. 10s. much per cent? answer 171. 10s. there is 2d. lost, answer 161. 24 A merchant received from Lisbon 180 casks of raisins, which stand him here in 16s. each; and by selling them at 28s. per Cut, he gains 25 per cent. required the weight of each cask one with another? answer 80lb. FELLOWSHIP. ELLOWSHIP is the rule for adjusting the several quotas of the loss or gain on any joint adventure, or of a bankrupt's effects, &c. CASE 1. When the several stocks in company are considered without regard to time; RULE. As the whole sum, or stock, Is to the whole gain, or loss; So is each partner's share in stock, &c. To his quota of the gain, or loss. PROOF, |