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14 Two merchants barter; A receives 20C. wt. of cheese, at 21 6d. per C.wt. B 8 pieces of linen, at 31 145. per piece; which of them must receive money, and how much? answer A 81 25. If 24 yards of cloth be given for 5C. 1gr. of tobacco, at 11 18. per C.wt. what is the cloth rated at per yard? answer 8s 3d. 16 A barters 40 yards of cloth at 7s 4d. per yard, with B, for 2811. of tea, at 11s 6d. per pound; which must pay balance, and how much? answer A 1 148 5d. 17 A has 74 C.wt. of sugar, at 8d. per pound, for which B. gave him 124 C. wt. of cheese; what was the cheese rated at per pound? answer 4d.2 18 What quantity of sugar, at 8d per b must be given in barter for 200.wi. of tobacco, at 37 per hundred weight? answer 16C.wt. 81b.

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19 P has coffee which he barters with Q at 1od. per lb. more than it cost him, against tea, which stands Q in 10s. the lb. but puts it at 125 6d. query the prime cost of the coffee? answer 3s 4d.

20 A and B barter; A has 121 C. wt. of hops, at 2/ 16s. per C.wt. but in barter insists on 31. B has wine worth 5s. a gallon, which he raises in proportion to A's demand: on the balance, A received but a hhd. of wine; what had he in ready money? answer 20/ 125 6d.

L

LOSS AND GAIN.

OSS and Gain is a method of computing the profit or
loss on the purchase or sale of goods, &c.

RULE.

Work by the Rule of Three, or by Practice, as the nature of the question may require.

EXAMPLE

1 Bought 18C. of iron, at 28s. per hundred, and retailed it at 3d. per pound; what is gained in the whole?

If

C. 3. C. £. S.

I 28 1825 4 Prime cast. 18C2016 at 3d.4291 85. sold for 291 85. 251 45, 41 4s, answer.

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2 Bought kns for 2ccts. each, and sold them at 17cts each; how much is lost by the sale of 120 dozen? answer 43,20cts. 3 Hats bought at 45. a piece, and sold at 45 9d. what is the gain per cent ?. answer 18 155. 4 Bought 7 tuns of wine, at 17. per bhd. and sold it at . per pint, what is the whole gain, and the gain per cent? answer whole gain 229/ 125. per cent. 481 45 8d4 5 A draper bought 100 yards of cloth for 149 dols. how must he sell it per yard, to gain 54dols. in the whole? answer z dols. per yard.

6 Bought 60 reams of paper, at 2 dols. lost in the whole quantity, at 4 per cent?

per ream; what is

answer 4,80cts. 7 Sold 500 penknives, at 15d. a piece, and 9 per cent. Lost; what is lost in the whole number?

answer 31 13 9d. 8 Paid 691. for 1 ton of steel; what is the profit or loss on the sale of 14 tons retailed at 6d. per pound?

answer 1821. loss.

9 If a yard of cloth be bought for 131 4d, and old for 16. what is the gain per cent?

answer 201 10 If 1C. of tobacco be bought for 4/ 135 4d. and sold at 11d. per pound, what is the gain or loss per cént?

answer 101. gain. 11 A draper bought 100 yards of cloth for 56. how must he sell it per yard, to gain 157 per cent?

answer 128 Tod

12 Sold 12 yards of cloth for 51 145. by which was gain. ed 81. per cent. what was the prime cost of a yard?

answer 8s 9d. 13 Having bought a parcel of goods for 181. and sold the same immediately for 25 with 4 months credit what is gained per cent. per annum? answer 1161 13s 4d.

14 Bought 300lb. of coffee at 4s 2d. per lb. ready money, and sold it at 5s per pound, payable in 8 months; how much was gained on the whole, allowing discount at 6 per cent. and how much per cent. per annum?

answer

{91 125 3d. whole gain. ૨૩૦

per cent.

15 If, when cloth is sold at 75. per yard, there is gained To per cent. what will be the gain per cent. when it is sold answer 334 118 5d.

for 8. 6. per yar”

16 Bought a chest of tea, weighing. 4. for 336 dols. ånd sold it for 370,10cts. what was the profit on each lb. answer 9cts. 17.Bought 12 pieces of white cloth, for 6 10s. per piece, paid 20s 10d a piece for dying; for how much must I sell them each, to gain 20 per cent? answer gl 1.

18 If 28 pieces of stuff be purchased at 47. per piece, and 10 of them sold at 67. and 8 at 57. per piece; at what rate must the rest be disposed of, to gain 10 per cent. by the whole? answer 21 63 4d. 19 Sold a yard of cloth for 115 6d. by which was gained at the rate of 15 per cent but, if it had been sold for 125. what would have been the gain per cent? answer 201.

20 If, when cloth is sold at 75. a yard, the gain is 10l. per cent what is the gain or loss per cent. when it is sold at 6s. a yard? answer 5l 14s 3d. loss. 21 At 1d. per shilling profit, how much per cent?

22 At 35 6d. in the pound profit, how

23 If by selling b. of pepper for 10d. how much is the loss per cent ?

answer 12! 1QS. much per cent?

answer 17 10L there is 2d. lost,

answer 161.

24 A merch received from Lisbon 180 casks of raisins, which stand in 16. each; and by selling them at 28s. per. 3 wt. hans 25 per cent, required the weight of each case, one with another? answer 80lb.

F

FELLOWSHIP.

ELLOWSHIP is the rule for adjusting the several quotas of the loss or gain on any joint adventure, or of a bankrupt's effects, &c.

CASE 1.

When the several stocks in company are considered with out regard to time;

RULE.

As the whole sum, or stock,

Is to the whole gain, or loss;

So is each partner's share in stock, &c.

To his quota of the gain, or loss.

PROOF

PROOF.

The sum of the several shares must equal the whole gain, or loss.

EXAMPLES.

Three merchants traded: A put in 140dols. B 30odol. and C 16cdols. their gain was 120dols. what is each man's share thereof?

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2 Three merchants trading to Virginia, lost goods to the value of 800l. now suppose A's stock was 1200l. B's 4800/. and C's 2000l. what sum must each man sustain of the loss? answer A 120l B 4801. C 200%.

3 A, B and C, freighted a ship with 1c8 tuns of wine, of which A had 48 tuns, B 36, and C 24, but by reason of stormy weather were obliged to cast 45 tuns overboard; how much must each man sustain of the loss?

answer A 20, B 15, and C 10 tuns. 4 Suppose a merchant is indebted to S 70%. T 400!. V 140/ 12s 6d. hut upon his death his estate is found to be worth only 409/ 145. how must it be divided among his cre

ditors?

answer S must have 46/ 195 3d., T 2681 7s 7d.1, V 941 7s od.z 5 If the money and effects of a bankrupt amount to 1400/ 14s 6d. and he is indebted to A 742/ 125. to B 641/ 19s 8d. and to C 987/ 198 9d. how must it be divided among them? ans. A must have 4381 8s 4d.4, B 3791 '3d 4,

C-5831 55 944

6 Three graziers, A, B and C, rent an estate, containing 292 acres, 3 roods, 17 perches, at 200l. per annum; of which A pays 60l. B 651. and C 751. they have agreed that the estate shall be divided in proportion to the rents; what is each man's dividend? A. R. P. A's share 87 3 17

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7 P, Q and R, rent an estate, containing 360 acres, at 240l. per annum: of which P holds 90, Q120, and R 150 acres; what must each man pay, in proportion to the land he holds?

CASE 2.

answer

{

P. 6ol.
Q 801.
R 100%

When the respective stocks in company are considered with time;

RULE.

Multiply each man's stock by its time; then,

As the sum of the products
Is to the whole gain, or loss ;
So is each particular product

To its share of the gain, or loss.

EXAMPLES.

Three merchants traded together: A put in 120k forg months, B rool. for 16 months, and C 100l. for 14 months, and they gained 100l. what is each man's quota?

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As 4080 100 1600: :39

Sum. £. s. d.

Sum. £ro80::26 9 4 3 4080

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3120

A's

240

4 3

3.4080

B's

140034

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100

answer.

• Proof.

2 Three merchants in a joint adventure put in as follow: A 400l. for 9 months, B 680 for 5 months, and C 120l. for 12 months? but by misfortune lost goods to the value of 500l. what must each sustain of the loss? ans. A must lose 213 5s 4d.1, B 2011 85 5d. and C 851 65 1d.2

3 A, B, and C, hold a pasture in common, for which they pay 201. per annum; in this pasture A had 40 oxen for 76 days, B 36 for 50 days, and C 50 for 90 days; what part of the 20% must each of them pay?

must pay 6 10 2d., B 31 175 id. C gl 125 8d

ans. A

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