TARE AND TRET.

TARE and TRET are allowances made by the seller to the buyer, on some particular commodities.

Tare is an allowance made for the weight of the barrel, box, bag, or whatever contains the commodity.

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

Gross weight is the weight of the goods, together with the barrel, box, bag, or whatever contains them.

Neat weight is the weight of the goods after all allowances are deducted.

CASE 1.

To find the neat weight when the tare is so much in the whole gross weight.

RULE.

:

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

EXAMPLES.

1. The gross weight of a certain hogshead of sugar is 7cwt. 3qrs. 16lb.; the tare is 3qrs. 10lb.; what is the neat weight? Ans. 7cwt. Oqrs. 6lb.

2. What is the neat weight of 12 hogsheads of sugar, the gross weight of each hhd. being 6cwt. 2qrs. 17lb.; the tare in the whole 8cwt. 3qrs. 14lb.?

Ans. 70cwt. 3qrs. 221b.

Ans. 70 3 22 neat weight.

3. The gross weight of a certain hogshead of sugar is Scwt. 3qrs. 17lb.; the tare is 3qrs. 161b.; what is the neat weight? Ans. Scwt. Oqrs. 11b. 4. What is the neat weight of 456cwt. 1qr. 19lb. of tobacco, tare in the whole 15swt. 2qrs. 13lb.? Ans. 440cwt. 3qrs. 6lb. 5. What is the-neat weight of 4 casks of indigo, the gross weight of each cask being 4cwt. 2qrs. 14lb.; the tare in the whole Icwt. Oqrs. 261b.?

Ans. 17cwt. 1qr. 2lb.

6. What is the neat weight of 5 casks of sugar, the gross weight and tare as follows?

To find the neat weight when the tare is so much per

barrel, box, &c.

RULE.

Multiply the tare per barrel, box, &c. by the number of barrels, boxes, &c. and the product will be the whole tare: subtract the whole tare from the whole gross weight, and the remainder will be the neat weight.

EXAMPLES.

1. What is the neat weight of 15 casks of raisins, each weighing 2cwt. 3qrs. 12lb. gross-tare 211b. per cask?

2. What is the neat weight of 4 hogsheads of tobacco, each weighing 10cwt. 3qrs. 10lb. gross; -tare 100lb. per hhd.? Ans. 39cwt. 3qrs. 4lb. 3. What is the neat weight of 6 casks of raisins, each weighing 3cwt. 2qrs. 10lb. gross; tare 20lb. per cask? Ans. 20cwt. 1qr. 24lb. 4. What is the neat weight of 35 bales of silk, each weighing 317lb. gross; -tare 16lb. per bale? Ans. 10535lb.

CASE 3.

To find the neat weight when the tare is so much per hundred weight.

RULE.

Subtract from the gross such aliquot part or parts of it, as the tare is of a cwt.; the remainder will be the neat. Or, multiply the pounds gross by the tare per cwt. then, divide the product by 112, and the quotient will be the tare. Subtract the tare from the pounds gross, and the remainder will be the neat weight.

EXAMPLES.

1. What is the neat weight of 40 kegs of figs, gross weight 75cwt. 3qrs. 12lb. -tare per cwt. 14lb.

2. What is the neat weight of 35 kegs of raisins, gross weight 37cwt. 1qr. 20lb.;-tare per cwt. 14lb.? Ans. 32cwt. 3qrs. 3. What is the neat weight of 6 hogsheads of sugar, each weighing Scwt. 2qrs. 14lb. gross; -tare 16lb. per Ans. 44cwt. 1qr. 12lb. 4. What is the neat weight of 9 hogsheads of of tobacco, to each weighing 6cwt. 2qrs. 12lb. gross;-tare 17lb. per cwt.? Ans. 50cwt. 1qr. 221b.

cwt.?

CASE 4.

To find the neat weight when tret is allowed with

tare.

KULE.

Subtract the tare from the gross weight as before: the remainder is called suttle. Divide the suttle by 26, and the quotient will be tret. Subtract the tret from the suttle, and the remainder will be the neat weight.

EXAMPLES.

1. What is the neat weight of Scwt. 3qrs. 20lb. gross;-tare 38lb.-tret 4lb. per 104lb.?

2. What is the neat weight of 17 chests of sugar, weighing 120cwt. 2qrs. gross; -tare 176lb.-tret 41b. per 1041b.? Ans. 125081b. or 114cwt. 1qr 121b.

3. What is the neat weight of 5 hogsheads of sugar, each 10cwt. 1qr. 20lb. gross; -tare 3qrs. 25lb. per hhd. -tret 4lb. per 104lb.? Ans. 45cwt. 1qr. 24lb.

APPLICATION.

1. There are 24 hogsheads of tobacco: each hogshead weighs 6cwt. 2qrs. 17lb. gross; tare in all, 17cwt. 3qrs. 27lb. How much will the tobacco amount to, at IL. 10s. 6d. per cwt. Ans. 216L. Os. 41⁄2d.

2. Bought 5 bags of coffee, each of which weighed 95lb. gross; tare in the whole 10lb. How much did it amount to, at 25 cents per pound? Ans. $116.25.

3. What is the amount of 30 casks of raisins; each cask weighing 2cwt. 3qrs. 12lb. gross; tare 211b. per cask; price, $7.35 per cwt.? Ans. $588.65.

4. What is the value of 10 casks of alum; the whole weighing 33cwt. 2qrs. 15lb. gross; tare 15lb. per cask; price, 23s. 4d. per cwt.? Ans. 37L. 13s. 6d. 5. Sold 12 butts of currants; each butt weighed 7cwt. 1qr. 10lb. gross; tare 16lb per cwt. What was the amount at $9.20. per cwt.? Ans. $694.514. 6. What is the value of 8 hogsheads of sugar, each weighing 8cwt. 3qrs. 7lb.; tare 12lb. per cwt.; price Ans. 228L. 3s. 74d.

72s. 6d. per cwt.?

SIMPLE INTEREST.

Interest is a consideration allowed for the use of money relative to which are four particulars, viz. the principal, time, rate per cent. and amount.

The principal is the money for which interest is to be received. The rate per cent. per annum, is the interest of 100 pounds or dollars for one year.

The time is the number of years or months, &c. for which interest is to be calculated.

The amount is the sum of the principal and interest.

CASE 1.

To find the interest when the time is one year, and the rate per cent. is pounds or dollars only.

RULE. *

Multiply the principal by the rate per cent. and divide the product by 100: the quotient will be the interest for 1 year.

PROOF.

By the Single Rule of Three.

EXAMPLES.

1. What is the interest of 525L. for 1 year, at 6L. Ans. 31L. 10s.

per cent. per annum?

2. What is the interest of 650L. 15s. for 1 year, at 6L. per cent. per annum?

* This rule agrees with the Single Rule of Three, except that the stating required by that rule is omitted in this.