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7. At 25 cts. profit in a dollar, how 11.v.in per cent. 3.8

Ans. 25 per centiori 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. I jud

EXAMPLES. 1. Bought 164 yards of broadcloth, at 14s. Od. pér yard ready money, 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? £. £. £.

£. As 103 : 100 : : 154 10 : 1500 present worth.

118 18 prired cost.

Gained £31 in Ansoer. 2. If I buy cloth at 4 dols. 16 ct , per yard, on 'eigh months credit, and sell it again at idols. 90 cts. per yá* ready money, what do I lose per cent. allowing 6 per cent discount on the purchase price? . Ans. 2; per cent.

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III. To know how a commodity must be sold, to gan or lose so much per cent.

Rule.-As 100 : is to the purchase price : : 80 is 1001. or 107 dollars, with the profit added, or loss subtracted : to the selling price.

EXAMPLES. 1. If I buy Irish linen at 28. 3d. per yard; how mustri) sell it per yard to gain 25 per cent. ? As 100i. : 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 : $1,364 cts. Ans. *}} 3. If tea cost 54 cts. per lb.; how must it be sold per lŁ* to lose 12} per cent. ?

As $100 : 54 cts. : : $87, 50 cts. : 47 cts. 2m. Ans ni 4. Bought cloth at 17s. 6d. per yard, which not provića so good as I expected, I am obliged to lose 15 per cena kong it; how must I sell it per yard? Ans. 14s. 10 dedi

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5. If 11 cw. 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. si 6. Bought 90 gallons of wine at 1 dol. 20 cts. per gal.. 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. 870n.

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 10 the prime cost.

EXAMPLES.

S.

S.

Jl. If a yard of cloth be sold at 14s. Td. and there is gain21.161. 13s. 4d. per cent. ; what did the yard cost?

£. d. d. £. As 116 13 4:14 7: :100 to 12s. 6d. Ans. 2. By selling broadcloth at 3 duls. 25 cts. per yard, 1 use at the rate of 20 per cent. ; what is the prime cost of cuid cloth per yarıl ?

Ans. $1,06 cts. 2 m. 3. If 40 lb. of chocolate be sold at 2:5 cts. per lb. and I yarin ! per cent. ; what did the whole cost me ?

Ans. $9, 17 cts. 4m. t. 4. Douglit 5 cit. of sugar, and sold it ayain at 12 cents ser lb. by which I gained at the rate of 255 per cent. ; that did :he sugar cost me per cwt. ?

Ans. $10,70 cts. Om.t

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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

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 : tu the gain or loss per cent. at the other rate.

*N. B. If your answer exceed 1001. or 100 dols, the excess is your gain per ceilt.; but if it be less than 100, that defe jency is the loss per cent.

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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 6s. per yd. ? £

£.
As 5 : 115 ::6: 138 ins. gained 38 per cent.
2. If I retail rum at 1 dollar 50 cents per gallon, und
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. S $ 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 ose 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 onglit in trading to have cleared 20 per cent.; how much was it sold under its real value?

£ s. d. £. £. s. d.
As 85 : 17 1 5 : : 100 : 20 18 the prime cost.
100 : 20 1 8:: 120 : 24 2 0 the real value.

Sold for 17 1 5

£.

£7 07 Answer.

FELLOWSHIP, IS a rule liy which the accounts of several merchantı or other persons trading in partnership, are so adjusted that each may have bis share of the gain, or sustain his share of the loss, in proportion to bis 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 equal term of time.

Rule.--As the whole stock is to the whole gain or loss : so is each inan's particular stock, to his particular share of tho gain or loss.

Proof.- Add all the particular shares of the gain or loss tocether, and if it be right, the sum will be equal to the whole gain or loss

.by

EXAMPLES.

1. Two partners, A and B, join their stock and buy ba 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 dolla“. What is each person's share of the gain?

A put in 350
B 470

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As 820 : 250 : :

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 3601. and C. 6001. ; and by trading hey gain 325l. 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 she 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 dols. C's 300 dols. I demand D's stock, and what each man gained by trading ? - 13 Ans. D's stock was $100, and A gained $53, 72 cts. 5 in. B $99, 77 cts. C $115, 12 ts. and D 838, 37 cts.

5. A bankrupt is indebted to A 2111, to B 3001. end to C 3911. and his whole estate amounts only to 0751. 10s. which he gives up to those creditors; how much must each have in proportion to his debt ?

Ans. A must have £158 Os. 3 d. B £224 13s. 4irl. and C £292 16s. 3 .

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6. A captain, mate, 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 di. vided among the sailors; how much did each man receive

$ cis. Ans. The captain received 1069, 75 The mate

486, 25 Each sailor

97, 25 7. Divide the number of 360 into 3 parts, which shall be to each other as 2, 3 and 4. Ans. 80, 120 and 160.

8. Two merchants have gained 4501. of which A is to have three times as much as B; how much is each to have? Ans. A £337* 10s. and B £112 10s.--1+3=4 : 450 : , ;

3: £337 10s. A's share. 9. Three persons are to share 6001. A is to have a cers tain sim, B as much again as A, and C three times as much as B. I demand each man's part ?

9 Ans. A £66%, B £133%, and C £400. 10. A and B traded together and gained 100 dols. A pul in 640 dols. B put in so much that he must receive 60 dols. of the gain ; I demand B’s stock?

Ans. $960. 11. A, B and C traded in company: A put in 140 dolş, B 250 dols. and C put iu 120 yds. of cloth, at cash price; they gained 230 dols. of which took 100 dols, for his share of the gain: how did C value his cloth per yard in common stock, and what was A and B's part of the gain Ans. C' put in the cloth at $2} per yard. A gained $46,

67 cts, 6 m. and B $83, 33 cts. 3 m. +

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 timo it was continucd in trade : then,

As the sum of the several products,
Is to the wholo gain or loss :
So is cach man's particular product,
To his particular shart of the gain or loss.

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