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V. When the price is any number of shillings under 20. RULE. (1) If the price is an even number, multiply the given quantity by half of it, doubling the first figure to the right-hand for shillings, and the rest are pounds. (2) If the price is an odd number, find for the greatest even number, as before, to which add the th of the given number for the odd shilling, and the sum is the answer.

Ex. What is the value of 3456 yards of cloth, at 18s. per yard?

3456

9

Ans. £. 3110 8

I multiply the given quantity by 9, and the first product 4, I double for shillings, carrying the 5 to the next figure.

Ex. What is the value of 2592 yards of second cloth, at 11s. per yard ?

12592

5

1296 O
1.29 12

Ans. £. 1425 12

Ex. 1. 5975 at 25. 4. 7591 at 5S. 7. 5734 at 10s. 10. 2935 at 13s. 13. 4917 at 18s. 16. 2514 at 16s.

I multiply by 5, as before, which gives the value of the cloth at 10s. per yard: I then divide the quantity by 20, and adding this quotient to the last found gives the answer.

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VI. When the price is shillings and pence.

RULE. (1) If they are an aliquot part of a pound, divide the quantity by that part, and the quotient is the answer. (2) If they are not an aliquot part, multiply by the shillings, and take parts for the pence.

Ex. What is the value of 2769 yards of Irish, at 3s. 4d. per yard?

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Ex. What is the value of 3756 yards of muslin, at 12s. 9d. per yard?

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3756

12

45072
1878

939

2.0)4788.9

Ans. £. 2394 9s.

I multiply by 12 for the shillings, and 6d. being of a shilling, I divide the given quantity by 2; then 3d. being of 6d., I divide the last quotient by 2, and add the three sums together, which gives the answer in shillings.

EXAMPLES.

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VII. When the price is pounds and shillings, or pounds, shillings, pence, and farthings.

RULE. Multiply the quantity by the pounds, and work the rest by the foregoing rules.

Ex. What is the value of 5428 hogsheads of ale, at 47. 12s. per hogshead ?

5428
4 12

21712
3256 16

Answer, £. 24968 16s.

I multiply first by 4, for the pounds; then 12 being an even number, I multiply by the half, or 6, according to Case V., and add the two sums together for the answer.

Ex. What is the value of 2714 cwt. of sugar, at 31.

12s. 94d. per cwt.?

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Having multiplied by 3 for the pounds, I take the aliquot parts for 12s. 9 d., that is, 10s. is, 2s. 6d. is the 4th of that, 3d. is the onetenth of that, and is the one-sixth of 3d.; then, adding the several sums together, I obtain the answer,

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VIII. If there be a fraction in the given quantity.

RULE. Work for the whole number, according to the preceding rules, to which add 4, 1, 4, 1, &c. of the price, according to the nature of the question.

Ex. What is the value of 5354 cwt. of soap, at 41, 4s. 8d. per cwt.?

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£. s. d.

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£. s.

d.

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3 15

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3. 2654 at
5. 4651 at 5 12 10
7. 3875 at 8 18 6324
-9.9724 at
6 16 4/

7 15

4

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6. 3749 at 16 8. 4365 at 11 10. 3648 at 4

TABLES OF ALIQUOT PARTS.

Aliquot parts

of a cwt.

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9 5

11 11

4. 73942 at 12

4 63

Aliquot pts. of a lb.

oz.

IX. When the given quantity is of several denominations. RULE. Multiply the given price by the highest denomina-tion, as in Compound Multiplication, and take parts of the price for the inferior denominations of the given quantity. Ex. What is the value of 22 cwt. 3 qr. 21 lb. of hops, at 47. 18s. 6d. per cwt.?

2 qr.

£. s. d.

4 18 6

11

54 3 -6

Here, for the 22 cwt., I multiply by 11 and by 2; then I take parts for the 3 qis. 21 lb., according to the preceding table.

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*The aliquot parts of lbs., yards, ells, acres, &c., are easily found, by dividing the integer, or any part of it, by the quantity, the aliquot part of which is required, and the quotient, if there be no remainder, will be the part sought.

TARE AND TRET.

TARE AND TRET are a set of practical rules for deducting certain allowances, made by wholesale dealers in selling their goods by weight.

GROSS WEIGHT is the whole weight of goods, including package, or whatever contains them.

NEAT WEIGHT is what remains after all allowances are made.

TARE is an allowance to the buyer, for the weight of the package, and is either at so much per barrel, chest, &c., or at so much per cwt., or at so much for the whole.

TRET is an allowance of 4 lb. in every 104 lb. for waste, dust, &c. or theth part of the whole.

CLOFF is an allowance, after Tare and Tret are deducted, of 2 lb. upon every 3.cwt. that the weight may hold good when sold by retail.

SUTTLE is when only part of the allowance is deducted from the gross. Thus, after the tare is deducted from the gross, the remainder is called tare suttle.

CASE I. When the tare is at so much for the whole. RULE. From the gross weight subtract the tare, and the remainder will be the neut weight required.

Ex. What is the neat weight of 25 barrels of indigo, weighing 116 cwt. 2 qr.` 14 lb., allowing 2 cwt. 3 qr. 12 lb. tare?

Answer,

** cwt. qr. lb.

116 2 14

2 .3 12

113 3 2 neat weight.

Ex. 1. What is the neat weight of 55 barrels of figs, weighing 35 cwt. 2 qr. 15 lb., tare being allowed at 1 cwt. 1 gr. 24 lb.?

Ex. 2. What is the neat weight of 20 casks of Russian tallow,

- Aweighing 74 cwt., tare being allowed at 2 cwt, 2 qr. 5 lb ?

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