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(171) 571oz. 14dwt. 161gr. at 37. 118. 94d. per oz. (172) What is the rent of 725a. 2r. 19p. of land, at 2l. 11s. 9d. per acre?

(173) 51a. 3r. 15p. at 4l. 10s. per acre.

(174) 97a. 14p. at 37. 11s. 10d. per acre. (175) 514yds. 3qrs. 2n. at 178. 94d. per yard. (176) 125 ells Eng. 1qr. 1n. at 17. 11s. 9 d. per ell. (177) What cost 17 French ells 1qr. 3n. of Brussels lace, at 37. 198. 114d. per ell?

(178) 349 Flem. ells 1qr. 3n. of holland, at 17. 11s. 6d. per ell.

(179) 475 yds. 3qr. 2n. at 17. 14s. 9ld. per ell English. (180) 3754 ells English, at 188. 11ąd. per yard.

Note. If more examples be wanted, recourse may be had to the Bills of Parcels, Part III. Class 11.

TARE AND TRET.

Definitions.

1. Tare and Tret are practical rules for deducting certain allowances made by merchants and tradesmen in selling their goods by weight.

2. Gross Weight is the whole weight of any sort of goods, together with the box, barrel, bag, &c. that contains it.

3. Tare is an allowance made to the buyer for the weight of the box, barrel, bag, chest, wrappers, &c.

4. Tret is an allowance of 4lb. in 104lb. for waste, dust, &c.

5. Cloff, or draught, is an allowance of 2lb. for every 3cwt. made by the seller to the buyer, that the weight may hold good, when sold by retail.

6. Suttle is when part of the allowance is deducted from the gross.

7. Neat Weight is what remains after all allowances are deducted.

Proposition 1. When the tare is at so much in the whole gross weight, to find the neat weight.

RULE.

Subtract the tare from the gross, and the remainder will be the neat weight.

Prop. 2. When the tare is at so much per box, bag, barrel, &c. to find the neat weight.

Rule. Multiply the number of boxes, bags, &c, by the tare, and subtract the product from the gross.

Prop. 3. When the tare is at so much per hundred weight, to find the neat weight.

Rule. If the tare be an aliquot part of an cwt. divide the gross weight by the aliquot part, and the quotient will be the tare to be deducted from the gross. If the tare be not an aliquot part of a cut. first take some aliquot part of a cut. and then part of that part, &c. according to the nature of the question, the sum of the quotients belonging to these parts will be the whole tare, which deduct from the gross.

Prop. 4. The gross weight of any sort of merchandize given, to find the neat weight, when tret is allowed with tare.

Rule. Find the tare, as before, and subtract it from the gross, the remainder will be the suttle. Then, divide the suttle by 26, and the quotient will be the tret, which deduct from the suttle.

Prop. 5. The gross weight of any sort of merchandize given, to find the neat weight, when tare, tret, and cloff, are allowed.

Rule. Find the neat weight by the last rule, and call that the second suttle. Then divide the second suttle by 168, and the quotient will be the cloff, which deduct from the second suttle.

Note 1. The above rule will only give the neat weight when cloff is 2lb. for every 3cwt., which is generally the case. The 168 is found by dividing 3cwt. or 336lb. by 2; hence it will be very easy to find a divisor when any other allowance of cloff is made. At the Customhouse, the following allowances are made upon goods imported, viz. 1lb. upon goods not weighing less than 1 cwt.-2lb. from 1 to 2cwta

-3lb. from 2 to 3cwt.-4lb. from 3 to 10cwt.-7lb. from 10 to 18cwt-and 91b, from 18 to 30cwt. and upwards.

2. There are other allowances, such as break, which is sometimes at so much per hhd. bag, &c.`; and damage, which is so much in the whole for any part of the merchandize which may have received injury.

Examples to Proposition 1.

(1.) What is the neat weight of 6 hhds. of tobacco, each weighing 12cwt. 3qr. 11lb. gross, tare in the whole 854lb.?

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(2.) Required the neat weight of 27 bales of silk, each weighing 349 lb. gross; tare in the whole 3cwt. 1qr. 15lb. (3.) Required the neat weight of 29 hhds. of tobacco, each weighing 14cwt. 3qr. 17lb. gross; tare in the whole 1547lb.

(4.) In 43 bags of cotton, each weighing 3cwt. 1qr. 114lb. gross, tare in the whole 774lb. what is the neat weight?

(5.) What is the neat weight of 4hhds. of sugar weighing as follow, viz.

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(6.) What is the neat weight of 12hhds. of tobacco, each weighing 5cwt. 3qr. 14lb. gross; tare per hhd. 971b.?

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(7.) Required the neat weight of 19 casks of indigo, each weighing 4cwt. 1qr. 191b. gross; tare per cask 37lb. (8.) Required the neat weight of 47hhds. of tobacco, weighing 147cwt. 1qr. 11lb. gross; tare 75lb. per hhd. (9.) In 19 bags of pepper, each 84lb. gross; tare per bag 44lb. how many lbs. neat?

(10.) In 75 bales of silk, each weighing 254lbs. gross, tare per bale 14lb. how many lbs. neat?

(11.) What is the neat weight of 354 barrels of figs, each weighing 124lb. gross; tare 11lb. per barrel?

Examples to Prop. 3.

(12.) What is the neat weight of 7 barrels of figs, each weighing 2cwt. 1qr. 12lb. gross; tare 21lb. per cwt.?

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13 1 17 neat weight.

(13.) Required the neat weight of 29 barrels of potash, each weighing 1cwt. 3qr. 18lb. gross; tare 12lb. per cwt.

(14.) Required the neat weight of 15 casks of argol, weighing gross 97cwt. 2qr. 15lb. tare 15lb. per cwt.

(15.) Required the neat weight of 19 barrels of anchovies, each weighing 35lb. gross; tare 11lb. per cwt. (16.) Required the neat weight of 17hhds. of tobacco, each weighing 4cwt. 3qr. 14lb. gross; tare 191b. per cwt.

Examples to Prop. 4.

(17.) In 7hhds. of sugar, weighing gross 47cwt. 2qr. 4lb. tare in the whole 10cwt. 2qr. 14lb.; tret 4lb. per 104, how much neat weight?

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(18.) How much neat weight is contained in 12cwt. 3qE. 19lb. gross; tare in the whole 371b.; tret 4lb.

per 104? (19.) Required the neat weight of 19 chests of sugar, each weighing 7cwt. 3qr. 19lb. gross; tare 12lb. per cwt. tret 4lb. per 104.

(20.) Suppose 19 lb. per cwt. tare, and 4lb. per.104lb. tret, were allowed on 19 casks of prunes, each 4cwt. 1qr. 14lb. gross, what would be the neat weight?

Examples to Prop. 5.

(21.) Required the neat weight of 45hhds. of tobacco, weighing gross 224cwt. 3qr. 20lb.; tare 25cwt. 3qr.; tret 4lb. per 104lb.; cloff 2lb. for every 3cwt.

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(22.) In 7hhds. of tobacco, each weighing gross 5cwt. 3qr. 17lb.; tare 11lb. per cwt. tret 4lb. per 104; cloff 2lb. for every 3cwt. how much neat weight?

(23.) The neat weight of 5 casks of currants is re

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