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Questions of this kind are proved by varying their order.

EXAMPLES. 1. How much sugar at 9d. per lb. must be given in barter for 61 cwt. of tobacco, at 14d. per Ib ?

9 cwt. 6 2 9 : 1 :: 10192

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28)1132 (40 26

112 28

10C. Oqr. 124 Ans.

12
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14

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10192

2. How much tobacco at 14d. per lb. must be given in barter for 10C. Oqr. 12. Ib. of sugar, at 9d. per lb ?

14) 28) 4) cwt. 10 O 12 14 : 1 :: 10192(728(26

98 56

61C. Ans. 40

39

168 28

28 168

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10192
This proves the first example.

3. What quantity of tea at $1,20 per lb. must be given in barter for 1 cwt. of chocolate, at 32 cents per lb ?

Ans. 29196 lb. 4. How much rice at 28s. per cwt. must be given in barter for 3 cwt. of raisins at 5d. per lb ?

Ans. 5C. Sqrs. 911 lb. 5. A man bought a lot of goods, for which he gave 1000 dols. in money, and 5 cwt. of tobacco, at 10 cents per lb. ; what was the value of the lot of goods ?

Ans. 1056 dols. 6. A man bought a lot of goods, for which he gave 12cwt. of tobacco, at 15 cents per lb. 24 cwt. of sugar, at 12 cents per lb. and paid the remainder in money ; the whole value of the goods was 9000 dols. how much money did he pay ?

Ans. 88475,84. 7. A merchant bartered 7 cwt. of rice, at 28s. per cwt. for 4 cwt. of raisins, at 6d. per lb. and paid the balance in money, how much money did he pay

?

Ans. £ 1 8. 8. A merchant delivered 3 hogsheads of wine, at $1,10 per gallon, for 126 yards of cloth ; what was the cloth per yard?

Ans. $1,65. 9. A and B bartered : Ahad 12 cwt. of sugar worth 8 cents per lb. for which В gave him 1 cwt. of cinnamon ; what did B value his cinnamon at per lb ?

Ans. 54 cents, and is 10. A has linen cloth worth 40 cents ready money, but in barter he will have 48 cents per yard ; B lias broadcloth worth 2 dols. per yard, in ready money, which he is minded to barter with A for his linen, what ought the broadcloth to be per yard, in barter for the linen ?

Ans. dols. 2,40. 11. A had 41 cwt. of hops at dols. 6,70 per cwt. for which В gave him 17 C. 3 qrs. 4 lb. of prunes, and 88 dols. ; what was the prunes valued at per lb ?

Ans. cts. 9394 12. A has candles worth 12 cents per lb. ready money, but in barter he will have 13 cents ; B has cotton worth 18 cents per lb. ready money ; what ought the cotton

Ib. in barter, and how much must be given of the cotton for 1200lb. of the candles?

SThe cotton must be in barter 19{ cents, and 7C. Ans.

to be per

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LOSS AND GAIN.

Loss and Gain is a rule, which teaches how to find what is lost or gained in buying and selling a lot of goods, by comparing the prices, they are bought and sold at, together.

NOTE 1. If the gain or loss per cent is required, say, as the whole sum paid or bought for, is to the difference between that and the whole sold for, so is 100 to the guin yr lo88 per cent.

NOTE 2. 70 fix a price on goods, in order to gain or dose a certain rate per cent, say, as 100 is to the price the goods cost, so is 100 with the gain per cent added, or los8 per cent subtracted, to the price for which they must be sold, to gain or lose the proposed rate per cent.

Note 3. When the intended sum to be gained, or lost, is given, in order to know how to sell, so as to gain or lose that sum, say, as the first cost is to the first cost with the proposed gain added, or the proposed 10,98 subtracted, 80 is the first cost of 1 yard, pound, c. 19 the firice I yard, or 1 pound, &c. must be sold at.

EXAMPLES. 1. A man bought a barrel of cider for 28s. which he sold for 3d. a quart, it contained 32 gallons ; did he gain or lose, and how much?

32 gal.
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gained 43. Ans. 2. If a man sell a barrel of cider containing 32 gallons, for 3d. a quart, and gain 4s. how much did it cost him ?

32
4

128

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sold for 32s.
gained 4s.

cost 28s. Ans. 3. Bought 1525 gallons of rum, which proving of a bad quality, I sold the whole together for 1500 dols. ; the first cost was $1,127 per gallon ; did I lose or gain, and how much ?

Ans. lost dols. 215,624. 4. A man bought 100 yards of cloth for 300 dols. I demand how he must sell it per yard, to gain 25. per cent?

Ans. dols. 3,75. 5. Bought 900 gallons of brandy for 925 dols, which I sold at 1 dol. per gallon, what did I gain or lose ?

Ans, lost 25 dols. 6. Bought. 100 yards of cloth at 2 dols. per yard, how must I sell it per yard to gain 50 dols? Ans. 82,50.

7. Bought 100 yards of cloth for 300 dols. and sold it at 25 per cent. loss ; how did I sell it per yard ?

Ans. dols. 2,25. 8. Shipped for the West Indies 150000 feet of boards, at 7 dols. per thousand ; 40 thousand pipe staves at 16 dols. per thousand ; 60 thousand barrel staves at 8 dols. per thousand ; 2000 quintals of cod-fish at 3 dols. per quintal, paid charges of shipping, 860,75, freight $500,27; for which I received in return 40 hogsheads of rum, containing 116 gallons each, (when shipped, but gauged only 112 gallons each, on an average, when it arrived ; 40 hogsheads of molasses, 122 gallons each, when shipped ; but gauged on an average 1181 gallons when it was landed ; 40 hogsheads of sugar weighing 11 cwt. 2 qrs. 16 lb. each ; charges of shipping at West Indies 816,30, freight 400 dols. cooperage $20,62, gauger's bill $6,40 ; I sold the rum at dol. 1,121 per gallon, the

N 2

Ans.

molasses at 30 cents per gallon, the sugar (which fell short in the whole weight-3C. Iqr. 24lb.) at 10 dols. per cwt ; how much was the gain or loss on this adventure ; also how much difference would there have been, had the measure and weight been the same at selling, as was bought ; and how much was lost per cent, by the deficiency of nieasure and weight? Real gain,

$1910,15,5 Had weight and measure been as

172
shipped it would have the gain more by
Which would have made the whole

2082,15,5
gain,
The loss per cent was by short

1,87+ weight, &c. rejecting remainders, 9. Sent to India 50000 dols. in specie ; my corres. pondent sent it to Kamtchatka, and purchased furs, which when sold in Canton, the net proceeds, after deducting all charges, was 100000 dols. which he sent in teas ; by the ship's leaking, the teas were damaged, so that after paying $500 expenses in landing, drying, &c. the whole was sold for dols. 42436,25 ; how much was gained or lost by the adventure ? Ans. lost $8063,75.

10. Sent lumber to the West Indies ; in a storm part was thrown overboard, by which ten per cent was lost ; for the remainder I had shipped there, 18000 gallons of rum, at 50 cents per gallon ; which by leakage, lost ten per cent ; the duties paid on what arrived, was 25 cents per gallon ; the truckage cost 25 dols. gauger's bill $14,50 ; I demand how I must selt this rum per gallon, so as to gain 25 per cent. on the whole value of the lumber sent, and the money paid.

Ans. $1,12,27973

SIMPLE FELLOWSHIP.

Simple or Single Fellowship is that by which each partner's share of profit or loss is found, when their several shares of stock have been continued in trade, an equal term of time.

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