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5. Bought a hhd. of molasses containing 119 gallons, at 52 cents per gallon; paid for carting the same i dollar 25 cents, and by accident 9 gallons leaked out; at what rate must I sell the remainder per gallon, to gain 13 dolJars in the whole ?
Ans. 69 cts. 2 m.t
II. To know what is gained or lost per cent. RULE. First see what the gain or loss is by subtraction; then, As the price it cost : is to the gain or loss :: so is 100l. or $100, to the gain or loss per cent.
EXAMPLES. 1. If I buy Irish linen at 28. per yard, and sell it again at 2s. 8d. per yard ; what do I gain per cent. or in laying out 1001. : As : 2s. 8d. : : 1001, ; £33 6s. 8d. Ans.
2. If I buy broadcloth at 3 dols. 44 cts. per yard, and sell it again at 4 dols. 30 cts. per yard : what do I gain per ct, or in laying out 100 dollars ?
$ cts. cts.
Ans. 25 per cent.
3. If I buy a cwt. of cotton for 34 dols. 86 cts. and sell it again at 41į cts. per lb. what do I gain or lose, and what
cts. 1 cwt. at 41} cts. per lb. comes to 46,48
Prime cost 34,86
per cent. ?
Gained in the gross, $11,61 As 34,86 : 11,62 : : 100 : 33} Ans. 33} per cent. 4. Bought sugar at 8 d. per lb. and sold it again at 41. 17s. per cwt. what did I gain per cent. ?
Ans. £25 19s. 5 d. 5. If I buy 12 hhds. of wine for 2041. and sell the same again at 141. 17s. 6d. per hhd. do I gain or lose, and what
Aus. I lose 121 per cent. 6. At 1 d. profit in a shilling, how much per cent. ?
Ans. £12 10s.
Per cent. ?
7. At 25 cts. profit in a dollar, how much per cent. ?
Ans. 25 per cent. Note.—When goods are bought or sold on credit, you must calculate (by discount) the present worth of their price, in order to find your true gain or loss, &c.
EXAMPLES, 1. Bought 164 yards of broadcloth, at 14s. 6d. per yard ready money, and sold the same again for 1541. 10s. on 6 months credit; what did I gaiu by the whole; allowing discount at 6 per cent. a year? £. £. £.
£. As 103 : 100 : : 154 10 : 150 O present worth.
118 18 prime cost.
Gained £31 2 Answer. 2. If I buy cloth at 4 dols. 16 cts. per yard, on eight months credit, and sell it again at 3 dols. 90 cts. per yd. ready money, what do I lose per cent. allowing 6 per cent. discount on the purchase price? Ans. 2, per cent.
III. To know how a commodity must be sold, to gain or lose so much per cent.
RULE.—As 100 : is to the purchase price : : so is 1001, or 100 dollars, with the profit added, or loss subtracted : to the selling price.
EXAMPLES. 1. If I buy Irish linen at 2s. 3d. per yard; how must I sell it per yard to gain 25 per cent. ?
As 100l. : 2s. 3d. : : 1251. to 2s. 9d. 3 qrs. Ans. 2. If I buy rum at 1 dol. 5 cts. per gallon ; how must ] sell it per gallon to gain 30 per cent. ?
As $100 : $1,05 : : $130 : $1,36} cts. Ans. 3. If tea cost 54 cts. per lb.; how must it be sold
lb to lose 121 per cent. ?
As $100 : 54 cts. : : $87, 50 cts. : 47 cts. 2 m. Ans. 4. Bought cloth at 17s. 6d. per yard, which not proving so good as I expected, I am obliged to lose 15 per cent. by it; how must I sell it per yard ?
Ans. 14s. 101.
5. If 11 cwt. I qr. 25 lb. of sugar cost 126 dols. 50 cts. how must it be sold per lb. to gain 30 per cent. ?
Ans. 12 cts. 8m. 6. Bought 90 gallons of wine at 1 dol. 20 cts. per gall. but by accident 10 gallons leaked out ; at what rate must I sell the remainder per gallon to gain upon the whole prime cost, at the rate of 121 per cent. ? Ans. $1, 51 cts. 87m.
IV. When there is gained or lost per cent. to know what the commodity cost.
RULE.-As 1001. or 100 dols. with the gain per cent. added, or loss per cent. subtracted, is to the price, so is 100 to the prine cost.
1. If a yard of cloth be sold at 14s. 70. and there is gained 161. 13s. 4d. per cent. ; what did the yard cost?
£. d. d. £. As 116 13 4:14 7::100 to 12s. 60. Ans. 2. By selling broadcloth at 3 dols. 25 cts. per yard, I lose at the rate of 20 per cent. ; what is the prime cost of said cloth per yard ?
Ans. $4, 06 cts. 2, m. 3. If 40 lb. of chocolate be sold at 25 cts. per lb. and I gain 9 per cent.; what did the whole cost me?
Ans. $9, 17 cts. 4m. + 4. Bougut 5 cwt. of sugar, and sold it again at 12 cents per lb. by which I gained at the rate of 25 per cent.; what did the sugar cost me per cwt. ?
Ans. $10,70 cts. Im. +
V. If by wares sold at a given rate, there is so much gained or lost per cent. to know what would be gained or lost per cent. if sold at another rate.
RULE.- As the first price : is to 1001. or 100 dols. with the profit per cent. added, or loss per cent. subtracted :: so is the other price : to the gain or loss per cent. at the other rate.
N. B. If your apswer cxceed 1001. or 100 dols. the excess is your gain per cent.; but if it be less than 100, that deficiency is the loss per cent.
1. If I sell cloth at 5s. per yd. and thereby gain 15 per cent. what shall I gain per cent. if I sell it at 6s. per yd. ?
£. As 5 : 115 :: 6 : 138 Ans. gained 38 per cent. 2. If I retail rum at 1 dollar 50 cents per gallon, and thereby gain 25 per cent. what shall I gain or lose per cent. if I sell it at 1 dol. 8 cts. per gallon? $ cts. $
$ cts. .1,50: 125 :: 1,08 : 90 Ans. I shall lose 10 per cent.
3. If I sell a cwt. of sugar for 8 dollars, and thereby lose 12 per cent. what shall I gain or lose per cent. if I sell 4 cwt. of the same sugar for 36 dollars ?
Ans. I lose only 1 per cent. 4. I sold a watch for 171. Is. 5d. and by so doing lost 15 per cent. whereas I ought in trading to have cleared 20 per cent. ; how much was it sold under its real value ?
£. £ s. d. £. £. $. di As 85 : 17 1 5 : : 100 : 20 1 8 the prime cost. 100 : 20 1 8: : 120 : 24 2 0 the real value.
Sold for 17 1 5
£7 0 . Answer.
FELLOWSHIP, IS a rule by which the accounts of several merchants or other persons trading in partnership, are so adjusted, that eachi may have his share of the gain, or sustain bis share of the loss, in proportion to his share of the joint stock.--Also, by this Rule a bankrupt's estate may be divided among his creditors, &c.
SINGLE FELLOWSHIP, Is when the several shares of stock are continued is trade an equal term of time.
Rult.-As the whold stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.
PROOP.-Add all the particular shares of the gain or loss together, and if it be right, the sun will be equal to the whole gain or lussi
EXAMPLES. 1. Two partners, A and B, join their stock and buy a quantity of merchandise, to the amount of 820 dollars ; in the purchase of which A laid out 350 dollars, and B 470 dollars; the commodity being sold, they find their clear gain amounts to 250 dollars. What is each person's share of the gain?
A put in 350
Ås 820 : 250 : :
1 350 : 106,7073.+- A's share.
Proof 249,9999+=$250" 2. Three merchants make a joint stock of 12001 of which A put in 2401. B 3601. and C. 6001.; and by trading they gain 325l. what is each one's part of the gain?
Ans. A's part £15, B's £97 10s. C's £162 10s. 3. Three partners, A, B, and C, shipped 108 mules for the West-Indies; of which A owned 48, B 36, and C 24; But in stress of weather, the mariners were obliged to throw 45 of them overboard; I demand how much of the loss each owner must sustain ?
Ans. A 20, B 15, und C 10. 4. Four men traded with a stock of 800 dollars, by which they gained 307 dols. A's stock was 140 dols. B's 260 dots. C's 300 dols. I demand D's stock, and what each man gained by trading ?
Ans. D's stock was $100, and A gained $53, 72 cts. 5 in. B $99, 77} cts. C $115, 12} cts, and D $38, 37} cts.
5. A bankrupt is indebted to A 2111. to 1 3001, and to C 3911. and his whole estate amounts only to 6751. 108. wbich he gives up to those creditors; how much must each have in proportion to his debt?
Ans. A must have £158 (s. 3 d. B £224 13s: 41 d. and C£292 16s. 34.