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posedl rate can be bought for the same money, and it gives the answer.
1. What quantity of flax at 9 cts. per lb. must be given in barter for 12lb. of indigo, at 2 dols. 19 cts. per lb. ?
12lb. of indigo at 2 dols. 19 cts. per lb. comes to 26 dols. 28 cts.-therefore, As 9 cts. i llb. : : 26,28 cts. : 292 the answer.
2. How inuch wheat at 1 dol. 25 cts. a bushel, must be given in barter for 50 bushels of rye, at 70 cts. a bushel ?
Ans. 28 busheis. 3. How much rice at 28s. per cwt. must be bartered for Slcwt. of raisins, at 5d. per ib. ?
Ans. 5crt. Sqrs. 941li. 4. How much tea at 45. 9d. per lb. must be given in barter for 78 gallons of brandy, at 123. 3 d. per gallon ?
Ins. 2011b. 15 oz. 5. A and B bartered : A had 81cwt. of sugar at 12 cts per lb. for which В gave him 18cwt. of flour; what was the flour rated at per lb. ?
Ans. 5 cts, 6. B delivered Shhds. of brandy, at Os. Sd. per gallon, 10 C, for 126 yds. of clothi, what was the cloth per yari:
7. D gives E 250 yards of dragyet, at so cts. penye for 31916. of pepper; what does the pepper ster? iu per lb. :
8. A and B barterci: i hal «icwt. oi ricerai des per cwt. for which В gave him 201. in 3. st. rest in sugar, at 8d. per lb. ; i demand low ?? alam B gave
A besides thc 201.? Ans. Ociet. Ogr. 119). 9. Two farmers bartered : Ahad 120 busiels of these at 13 dols. per bushel, for which В gave him 100 buste. of barley, worth 65 cts. per bushel, and the balance in cais at 40 cts. per buslici ; what quantity of cats did Afreceive from B?
Ans. 287 buste 10. A hath linen cloth worth 20d. an ell ready money: but in barter he will liave 2s, B hath broadcloth worth 149. 6d. per yard ready money, at what price ought B to rate his broadcloth in barter, so as to be equivalent to A's bartering price?
Ans. 17. 4. SIS,
A and B barter: A nath 145 gallons of brandy at A. 20 cts. per gallon ready money, but in barter he ill have 1 dol. 35 cts. per gallon : B has linen at 58 cts.' per yard ready money; how must B sell his linen per yard in proportion to A's bartering price, and how many yards are equal to A's brandy ?
Ans. Barter price of B's linen is 65cts. 2}n. and he must give A 300 yds. for his brandy.
12. A has 225 yds. of shalloon, at 25. ready money; per yard, which he barters with B at 2s. 5il. per yarı, tabrir indigo at 12s. 6d. per lb. which is worth but 10s. hour much indigo will pay for the shalloon; and who gets the best bargain ?
Ans. 43}lb. at barter price will pay for the shalloon, and B has the advantage in barter.
Value of A's cloth at cash price, is
B gets the best bargain by LU 15
LOSS AND GAIN, Is a rule by which merchants and traçlers discover their profit or loss in buying and selling their goods : it also in. structs them how to rise or fall in the price of their goods, 80 as to gain or lose so much per cent. or otherwise. Questions in this nile are answered by the Rule of 'Three.
1. Bought a piece of cloth containing 85 yarus, for 191 dols. 25 cts, and sold the same at 2 dols. 81 cts. per yard; what is the profit upon the whole piece ?
Ans. $47, 60cts. 2. Bought 12 cwt. of rice, at 3 dols. 45 cts. a cwt. and sold it again at 4 cts. a pound; what was the whole
Ans. $12, simcts. 5m 3. Bought 11 cwt. of sugar, at Gld. per Ib. but could not sell it again for any more than 2. 16s. per cwt.; die I gain or lose by my bargain ? Ans. Lost, 62 11s. 4d.
4. Bought 44 lb. of tea for 6l. 125. and soll it again for 8l. 10s. 611. ; wliat was thc profit on each pound ?
še Bought a bhd. of molasses containing 119 gallons, et 52 cts. per gallon; paid for carting the same i dollar 25 cents, and by accident 9 gallons leaked out; at what Fate must I sell the remainder per gallon, to gain 13 dol lars in the whole ?
Ans. 69cts. 2m.-t
II. To know what is gained or lost
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 1001, or $100, to the gain or loss per cent.
1. If I buy Irish linen at 2s. per yard, and sell it again at 23. 8d. per yard; what do I gain per cent. or in laying out 1001. - As : 2s. 8d. : : 100l. : £33 6s. 8d. Ans.
2. If I buy broadeloth at 3 dols. 44 cts. per yard, and sell it again at 4 dols. 30 cts. per yard; what do I gain per cent. or in laying out 100 dollars ?
$ cts." Sold for 4, 30
$ cts. cts. S $ Cost
As 3, 44 : 86 : : 100 : 20
Ans. 25 per cent. Gained per yd. 86
3. If I buy a cwt. of cotton for 34 dols. 86 cts. and sell it again at 413 cts. per lb. what do I gain or losc, and what
Prime cost 34,86
Gained in the gross, $11,62 As 54,86 : 11,62 : : 100 : 33} Ans. S3} per cent. 4. Bought sugar at 8 d. por lb. and sold it again at 41 178. per cwt. what did I gain per cent. ?
Ans. £ 25 195. 5 d. 5. If I buy 12 hhds, of wine for 204l. and sell the same again at 141. 17s. 6d. per hhd. do I gain or lose, and what
Ans. I lose 12 per cent. 6. At 130. profit in a shilling, how much per cent. ?
Ins. £12 10s.
per cent. ?.
. At 23 cts. profit in a dollar, how much per cent. ?
Prs. 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.
1 Bought 104 yards of broadcloth, at 14s. 61. per yd. ready money, and sold the same again for 1541. ios. on 6 months credit; what did I gain by the whole; allow. ing discount at 6 per cent. a year?
O present worth. 118 18 prime cost.
Gained fs 2 Answer". 2. If I buy cioth at 4 dols. 10 cts. per yard, on eight months credit, and sell it again at a dols. 90 cts. per yd. ready money, what do I lose per cent. allowing 6 per cent. discount on the purchase price Ans. 24 per cent.
III. To kwow how a commodity must be sold, to gain dr lose so much per cent.
RULE. As 100 : is to the puithase price : : so is 1001. or 100 dols. with the profit added, or loss subtracted : to, the selling price.
1. If I buy Irish linen at 24. 3d. per yard ; now us I sell it per yard to gain 25 per cent. ?
As 1001. : 2s. 3d. : : 125i. to 29. 9:1. 3yrs. Ans. 2. If I buy Run at 1 dol. 5 cts. per gallon; how must I sell it per gallon to gain 30 per cent. ?
As 8100 : $1,05 : : 3130 : 81,56}cts. Ans. 3. If tea cost 54 cents per lb.; how inust it be sold per Ib. to lose 123 per cent. ? .
As 8100 : 51 cts. : : $87, 50 cts. : 47cts. 2}ın.Aus.
4. Bouglit cloth 175. Gu. per yarıl, 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 ? 1:. 145. 1024.
5. If 11 cwt. 1 q225 lb. of sugar cost 126 dols. 50 cts. how must it be sold per lb. to gain 30 per cent. ?
Ans. 12cts. Sm. 6. Bought 90 gallons of wine at 1 dol. 20 cts. per gall. but by accident 10 gallons leaked out, at what rate must ! sell the remainder per gallon to gain upon the whole prime cost, at the rate of 124 per cent. ? Ans. 81, 5icts, & 7oin.
IV. When there is gained or lost per cent. to knox what the commodity cost.
RULE. As 1001. or 100 dols. with the gain per cent. added, or lass per cent. subtracted, is to the price; so is 100 to the prime cost.
EXAMPLES. 1. If a yard of cloth be sold at 14s. 7d. and there is gained 161. 13s. 4d. per cent.; what did the yard cost ?
£ As 116 13 4 : 14 7 : : 100 to 128. 6d. 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. 94. 06cts. 21m. 3. If 40 lb. of chocolate be sold at 25 cto, per lb. and 1 gain 9 per cent. ; what did the whole coat mie?
Ans. SC. 17 cts. 47.12 4. Bought 5 cwt. of sugar, and soid it again at 19 cens per lb. by which I gained at the rate of 25 per cent ; what did the
V. If by wares sold at a given rat there is so round gained or lost per cent. to know what would be gainen * lost per cent. if sold at another rate.
RULE. As the first price : is to 100l. 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 answer cxceed 1001. or 00 dols. the ocess is your gain per cent. ; but if it k Mess than 100, that deficiency is the loss per cent.