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. At 23 cts. profit in a dollar, how much per cent :
Prs. 25 per ceut. Note. When goous arc bought or sold on credit, your must calculate (by discount) the present worth of their price, in order to find your true gain or loss, &c.
1 Bought i64 yards of broadcloth, at 14s. 611. per yd. ready inoney, and sold the same again for 1541, 10s. on 6 months credit; what did I gain by the whole; allowing discount at 6 per cent. a year?
f. s. £$. As lus : 100 :: 154 10 : 150
O present worth.
118 18 prime cost.
Gained £31 2. Answer. 2. If I buy cloth at 4 dols. iö cts, per yard, on eight months credit, and sell it again at s dols. 90 cts. per yd. ready money, what do I lose per
cent. allowing 6 per cent. discount on the purchase price? Ans. 25 per cent.
UI. To kuow how a commodity must be sold, to gain år lose so much per cent.
RULE. As 100 : is to the purchase price : : 90 is 100l. or 100 dols. with the profit added, or loss subtracted : to, the selling price.
1. If I buy Irish linen at 28. 3d. per yard ; now us I sell it per yard to gain 25 per cent. :
As 100%. : 2s. 3d. : : 125i. to 29. 91. 3yrs. Ins. 2. If I buy Runi at 1 dol. 5 cts. per gallon; how must I sell it per gallon to gain 30 per cent. ?
As 8100 : $1,05 : : 3139 : 81,86:cts. Ars. 3. If tea cost 54 cents per lb.; low inust it be sold per Ib. to lose 125 per cent. ? .
As 8100 : 54 cts. : : 887, 50 cts. : 47cts. 2/12.Ans.
4. Bought cloth 17s. Gl. per parel, which not proving so good as I expected, 1 ani obliged to lose 15 per cent: by it; how must I sell it per var? 21:5. 145. 1024.
5. If 11 cwt. 1 qrai25 lb. of sugar cost 126 dols. 50 cts. how must it be sold per lb. to gain 30 per cent. ?
Ans. 12cts. 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! sell the remainder per gallon to gain upon
the whole prime cost, at the rate of 12} per cent. ? Ans. $1, 5icts. & forn.
IV. When there is gained or lost per cent to knox what the commodity cost.
RULE. As 100l. 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.
1. If a yard of cloth be sold at 145. 7d. and there is gained 161. 138. 4d. per cent. ; what did the yard cost ? £. $. d.
£. As 116 13 4 : 14 7 : : 100 to 12s. 6d. ens. 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 ?
Jins. 94. Obcts. 22. 3. If 40 lb. of chocolate be sold at 25 cto. per 1b. and I gain 9 per cent. ; what did the whole coet nie?
Ans. So, 17cts, nafn 4. Bought 5 cwt. of sugar, and sold it again at 19 ceas per lb. by which I gained at the rate of 25 per cent. what did the sugar cost me pcr cwt.
ins. S10, 70ebs. 9m. +
V. If by wares sold at a given rat there is so rei gained or lost per cent. to know what would be gainment is 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 scess is your gain per cent. ; but if it - Hess than 100, that deficiency is the loss per cent.
EXAMPLES 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 Gs. per yard ?
to. £. As 5 : 115 :: 6 : 138 Ans. gained 58 per cent. %. If I retail run 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. 8cts. per gallon ?
$ cts. $ $ cts. S
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 ?
ins. I lose only, i per cent. 4. I sold a watch for 17. 1s. 5d. and by su doing lost 15 per cent. whereas ! ought in trading to liave cleared 20 per cent.; how much was it sold under its real value ?
f. s. d. As 85 : 17 1 5 : 1 100 : 20 1 8 the prime costa 100 : 2013: : 120 ; 24 2 0 the real value.
Sold for 17 1 5
£7 0 Answer.
a rule by which the accompts of several merchants or other persons, trading in partnership, are so adjusted, that each may have his share of the gain, or sustain his 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 in trade an equnl term of time.
RULE. As the whole stock is to the whole gain or loss : sa iş each man's particular stuck, to his particular share of the sain or loss.
PROOF.-Add all the particular shares of the gain or loss together, and if it be right, the sum will be equal to the whole gain or loss.
1. Two partners, A and B, join their stock and buy a quantity of merchandize, 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 dols. What is each person's share of the gain!
A putin 350 B 470
S 350 : 106,7073+A's share.
470 : 143,2926+B's share,
Proof 249,9999+ $250 2. Three merchants make a joint stock of 12001. of which A put in 2401. B 8601. and C 6001.--and by trading they gain 3251. what is each one's part of the gain ?
Ans. A's part £65. 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, and 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 dols. C's 500 dols. I demand D’s stock and what each man gained by trading ? Ans. D's stock was $100, and A gained $53, 72cts. 5m. B 899, 77 cts. C$115, 12fcts. and D 838, 37fcts.
5. A bankrupt is indebted to A 2111. to B 3001. and to C 3911. and his whole estate amounts only to 6751. 10s. which he gives up to these creditors ; how much must each have in proportion to luis diebt?
Inis. A must have £158 Os. 31d. B 1224 13s. 45 ano C292 169 34
6. A captain, inate and 20 seamen, took a prize worth 3501 dols. of which the captain takes 11 shares, and the mate 5 shares; the remainder of the prize is equally divided among the sailors; how much did cach man reccive?
97, 25 7. Divide the number of 360 into s parts, which shall be to each other as 2, 3, and 4. fus. 80, 120, and 160.
8. Two merchants have gained 450l. of which A is to have 3 times as much as B; low much is each to have:
ans, A £357 105, 1 B £ 112 10s.--14-3=t:
450 :: 5 : £ 557 10s. A's share. 9. Three persons are to share 6001. A is to have a certain sun, B as much agun as A, and C three times as much as B. I demand each inan's part?
ins. A, B £153, and C 4400 10. A and B traded together and gainel 100 mlols. putin 640 dols. B put in so much that he inust receive 60 dols. of the gain; I demand B's stock? Ans.. 9960
11. A, B, and C, traded in company: Aputin 140 cols. B 250 dols. and C putin 190 yds. of cloth, at cash price; they gained 230 dois, of which C took 100 dols. for his share of the sain ; how did C value lis cloth per yard in common stock, and what was A and B's part of the gain?
ins. Cput in the cloth at $2% per jard. gainet
$46, 67cis. 6it. t und B S83, 33cis. Sm. +
COMPOUND FELLOWSHIP, OR Fellowship with time, is occasioned by several shares of partners being continued in trade an unequal term of time.
RULE. Multiply each man's stock or share by the tiinc it was continued in trade: then,
As the sum of the several products,