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 4 lb. in every 104 lb. 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 7 cwt. 3 qrs. 16 lb.; the tare is 3 qrs. 10 lb.; what is the neat weight? Ans. 7 cwt. qrs. 6 lb 2. What is the neat weight of 12 hogsheads of sugar, the gross weight of each hhd. being 6 cwt. 2 qrs. 17 Ib.; the tare in the whole 8 cwt. 3 qrs. 14 lb.? (1) cwt.qrs. lb. 7 3 Ans. 70 cwt. 3 qrs. 22 lb. 16 gróss. 3 10 tare. 3 22 neat weight. 3. The gross weight of a certain hogshead of sugar is 8 cwt. 3 qrs. 17 lb.; the tare is 3 qrs. 16 lb.; what is the neat weight? Ans. 8 cwt. 0 qrs. 1 lb. 4. What is the neat weight of 456 cwt. 1 qr 19 lb. of tobacco, tare in the whole 15 cwt. 2 qrs. 13 lb.? Ans. 440 cwt. 3 qrs. 6 lb. 5. What is the neat weight of 4 casks of indigo, the gross weight of each cask being 4 cwt. 2 qrs. 14 lb.; the tare in the whole 1 cwt. 0 qrs. 26 lh.? Ans. 17 cwt. 1 qr. 2 lb. 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 ta e: subtract the whole tare from the whole gross weight, and the remainder will be the neat wght. EXAMPLES. 1. What is the neat weight of 15 casks of raisins, each weighing 2 cwt. 3 qrs. 12 lb. gross-tare 21 lb. per cask? 2. What is the neat weight of 4 hogsheads of tobacco, each weighing 10 cwt. 3 qrs. 10 lb. gross;-tare 100 lb. per hhd.? Ans. 39 cwt. 3 qrs. 4 lb. 3. What is the neat weight of 6 casks of raisins, each weighing 3 cwt. 2 gross; tare 20 lb. per cask? Ans. 20 cwt. 1qr. 24 lb. 4. What is the neat weight of 35 bales of silk, each weighing 317 lb. gross; tare 16 lb. per bale? qrs. 10 lb. CASE 3. Ans. 10535 lb. 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 75 cwt. 3 qrs. 12 lb.-tare per cwt. 14 lb. Cwt. qrs. lb. 1475 14 | | | 75 3 9 12 gross. 1 26 tare. 66 1 14 neat. 2. What is the neat weight of 35 kegs of raisins, gross weight 37 cwt. 1 qr. 20 lb.;-tare per cwt. 14 lb.? Ans. 32 cwt. 3 qrs. 3. What is the neat weight of 6 hogsheads of sugar, each weighing 8 cwt. 2 qrs. 14 lb. gross; tare 16 lb. per cwt.? Ans. 44 cwt. 1 qr. 12 lb. 4. What is the neat weight of 9 hogsheads of tobacco, each weighing 6 cwt. 2qrs. 12 lb. gross;-tare 17 lb. per cwt.? Ans. 50 cwt. 1 qr. 22 lb. CASE 4. To find the neat weight when tret is allowed with tare. RULE. 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 8 cwt. 3 qrs. 20 lb. gss-tare 38 lb.-tret 4 lb. per 104 lb. 2. What is the neat weight of 17 chests of sugar, weighing 120 cwt. 2 qrs. gross;-tare 176 lb.-tret 1 lb. per 104 lb.? Ans. 12808 lb. or 114 cwt. 1 qr. 12 lb. 3. What is the neat weight of 5 hogsheads of sugar, each 10 cwt. 1 qr. 20 lb. gross;-tare 3 qrs. 25 lb. per hhd.-tret 4 lb. per 104 lb.? Ans. 45 cwt. 1 qr. 24 lb. APPLICATION. 1. There are 24 hogsheads of tobacco: each hogshead weighs 6 cwt. 2 qrs. 17 lb. gross; tare in all, 17 cwt. 3 qrs. 27 lb. How much will the tobacco amount to, at l ̊L. 10 s. 6 d. per cwt. Ans. 216 L. 0 s. 41⁄2 d. which weighed How much did Ans. $116.25. of raisins; each 2. Bought 5 bags of coffee, each of 95 lb. gross; tare in the whole, 10 lb. it amount to, at 25 cents per pound?. 3. What is the amount of 30 casks cask weighing 2 cwt. 3 qrs. 12 lb. gross; tare 21 lb. per cask; price, $7.35 per cwt.? Ans. $588.651. 4. What is the value of 10 casks of alum; the whole weighing 33 cwt. 2 qrs. 15lb. gross; tare 15lb. per cask: price, 23 s. 4 d. per cwt.? Ans. 37 L. 13 s. 61⁄2 d 3. Sold 12 butts of currants; each butt weighed 7cwt. 1 qr. 10 lb. gross; tare 16 lb. per cwt. What was the amount at $9.20 per cwt.? Ans. $694.512. 6. What is the value of 8 hogsheads of sugar, each weighing 8 cwt. 3 qrs. 7 lb.; tare 12 lb. per cwt.; price 72 s. 6 d. per cwt.? Ans. 228 L. 3 s. 74 d. 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 in terest. 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 525 L. for 1 year, at 6 L. per cent. per annum ? Ans. 31 L. 10 s. 2. What is the interest of 650 L. 15 s. for 1 year, at 6 L. 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. |