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5. Bought a hhd, of molasses containing •119 gallons, at 52 cts. 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 dollars in the whole ?

Ans. 69cts. 2m at

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 1 cost : is to the gain or loss : : so is 1001. or $100, to the gain or loss per cent.

EXAMPLES. 1. If I buy Irish linen at 2s. 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. : Ess 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 cent. or in laying out 100 dollars ?

S cts.
Sold for 4, 30

$ cts, cts. $ $
Cost
S, 44 As 3, 44 : 86 : : 100 : 25

Ans. 25 per cent. Gained per yd. 86 3. If I buy a cwt.aof cotton for 34 dols. 86 cts. and sell

o lh. what do I gain or lose, and what per cent. ?

8 cts. 1 cwt. at 41} cts. per lb. comes to 46,48

Prime cost $4,86

Gained in the gross, $11,62 As 34,86 : 11,62 : : 100 : 33] Ans. 33} per cent, 4. Bought sugar at 8 d. per Ib. and sold it again at 4. 17s. per cwt. what did I gain per cent. ?

Ans. £25 19s. 5d. 5. If I buy 12 hhds. of wine for 2011. and sell the same again at 141. 17s. 6d. per hhd. do 1 gain or lose, and what per cent. ?

Ans. I lose 125 per cent. 8. At 13d. profit in a shilling, how much per cent. ?

Ans. £12 10s.

7. At 23 cts. profit in a dollar, how much per cent. ?

Ans. 25 per cent. Notv..-When goods are bought or sold on credit. you must calculate (bv discount) tlic present worth of then price, in order to find your time main on lasia, &c.

EXALIPLES. 1. Brugli 16+ yards of broadclothi, at 14$. fil.

srl. ready money, and solel the same again for 1511. TOs, un 6 months credit; what did I gain by the whole; allow. ing discount at 6 per cent. a year £

£ s.
As 103 : 100 : : 134*10 : 150 O present worth.

118 16 prime cost.

Gainel &$1 2 Ansirer. 2. If I buy cloth at 4 duls. 16 cts. per yans), or. gnt months credit, and sell it again at S dolx. 90 cts, per yd. ready money, what do I lose per cent. ailowing 6 per cent. discount on the purchase price? Ans. 3 per cert.

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

RULF. As 100 : is to the purchase price : : so is 1001. or 100 dols. with the profit ailled, in loss subtracted : to the selling price.

EXAMPLES 1. If I buy Irish linen at es. Sil. pervard ; how must I sell it per yard to gain 95 per cent. ?

As '1001. : 25. d. : : 1231. to 25. 9d. Surs. Ans. 2.!!! I buy Rum at 1 do: 5 cts. per gallon; how must I sei it per jallon to gain 50 per cent?

As 8100 : $1,05 : : 81:30 : 81,36 seis, Ans. S. If tea cost 51 cents per Ib.; how mușt it be sold per M. tu lose 1:2 per cent. :

As $100 : 54 cts. : : 887, 50 cts. : 47cts. 24in. Aus. 4. Bought cloth 175. 6ii. per yard, which not proving so good as I expected, I am obliged to lose 15 per cent how must I sell it

per Karol ? Ans. 145. 101d.

5. If 11 cit. I gr. 25 lb. of sugar cost 126 dols. 50 cts. how must it be sold per Ib. to gain 30 per cent. ?

Ins. 12cts. Sm. 6. Bought 90 gallons of wine at i dol. 20 cis. per gall. ont by acontent 10 gallons leakerl out at what rate must I sell te remainder per gallon to gain upon the whole prime cost, all the rate of 12, per cent.. JMS. 81, 51cts. Sign

IV. When there is ained or los! per cent. to know what the commodity cost.

RULE. As 1991. or 100 dols. with the gai' per cent. ardeil, or loss per cerit. subtracteci, is to the price; su is 100 to the prime cost.

EXAMPI.ES. 1. ifa varoi of cloth be sold at 14:. ill. anıl there is gained 16l. 13s. 4d. per cent. ; what did the yard cust?

£. $. d. s. d. As 116 15 4 : 141: : 100 to 12s. 6d. Ans. 2. By selling broailcloth at S dols. 25 cts. per varil, 1 ose at the rate of 20 per cent. ; what is the prime cost of saill cloth per yarl :

Ans. $4, 06rts. 24m. s. It 40 lb. of choco,ate be sold at 25 cts. per Ib. and I gain 9 per cent.; what did the whole c ist me:

ons. 89, liots. Ain. + 4. Bought 5 cwt. of sugar, and sold it again at 12 cents per ib. by which I gained at the rate of 253 per cent.; what diu the sugar cost me per cwt.

Ans. $10, Octs. 9m.t

V. If by wares sold at a given rare there is so much gained or jost per cent. to know what would be gained lost per cent, if sold at another rate.

RILE. As the first price : is to 8001. or 101) dals. with the profit per cent. added, or loss per cent. subtracted : : No is the other price : to the gain or loss per cent. at the other rate.

N. 6. If your ariswer exceed 1001. or 100 dhools. the excams in umur yain per cent. ; but if it be boysis then Bella that deficiency in the low per crut.

EXAMPLES.

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1. If I sell cloth at 59. per yd. and thereby gain 15 pez cert. what shall I gain per cent. if I sell it at Øs. per yard? £

£ 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. Scts. per gallon ?

& cts. 8 & cts. 8 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 i

Ans. I lose only 1 per cent. 4. I sold a watch for 171. 1s. 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.
As 85 : 17 1 5 : : 100 : 20 1 8 the prime cost.
100 : 20 1 8 : : 120 : 24 % 0 the real value.

Sold for 17 1 5

£. s. d.

£7 0 7 Answer.

FELLOWSHIP, Is 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 di. vided 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 man's particular stock, to his particular share of the gain 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.

EXAMPLES

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 dollars. What is each person's share of the gain?

A put in 550
B

470

As 820 : 250 : :

S50 : 106,7073+A's share. 470 : 143,2926+B's share

Proof 249,9999+=8250 2. Three merchants make a joint stock of 1200l. Os which A put in 2401. B 360l. and C 6001.; and by trading they 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. Rut in stress of weather, the mariners were obliged to throw 45 of them overboard ; I demand how much of the loss each owner niust sustain ?

Ans. A 20, B 15, C 10. 4. Four men traded with a stock of 800 dollars, by which they gained 507 duls. 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?

Ans. D's stock was 8100, and A gained $53, 72cts 576 B $99, 77 fcts. C $115, 12fcts, and D 838, 37fcts.

5. A bankrupt is indebted to A 2111. to B 300l and to C 3911. and his whole estate amounts only to 6751. 106. which he gives up to these creditors ; how much must each have in proportioa to his debt?

Ans. A must have £158 (s. 31d. B 24 196 dich and C 5292 169. hd.

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