B, 1537 231275 5. A, B and C trade in company; A put in 5000 dols. for 18 months, B 3800 dols. for 1-3 months, and C 2700 dols. for 9 months ; they gained 8180 dols: ; what was each man's share of the gain ? A, dols. 4497,2517 Ans C, 6. A, B and C traded in company as follows : On the first of January, A put in 3800 dols, on the first of May following, B put in 2700 dols. 'and on the first of August following, C put in 4000 dols ; at the end of the year, they dissolved partnership, each, took his share of stock and gain, the whole gain being 4360 dols. how much did eachi take ? A took for stock and gain, $6133413 502349 7. A and B-trade in company for 1 year only ; on the first of January, A put in 1200 dols: but B could not put any money into the stock till the first of April ; how muehr must B put in, so as to share equally with A ? Ans: 1600 dols. { 3703737 Tare is an allowance made for the weight of the box, cask, bate, or whatever contains the goods, and is either, · 1. At so much per bag, barrel, hogshead, box, &c. 2. At so much per cent ; or, 3. At so much in the whole gross weight, called invoice tare. So much per cent in Avoirdupois weight,: is always to be understood so much for 112 pounds, that being one hundred of that weight. Tret is an allowance made to the buyer of 4 pounds in 104 pounds, which is a twenty, sixth part of the whole, for waste and dust, in some sorts of goods. Cloff is sometimes allowed, which is 2 pounds on each draught of more than 3 ewt. Gross weight is the whole weight of the goods, and of the box, bag, or whatever contains them. Net weight is the pure weight of the goods, after all allowances are made. The following are the usual allowances for tare in England, as in a book of rates. In casks and cannisters. barrel. In the United States' custom-houses on tea, coffee, and sugar. Tare on boxes of other dimensions, according to invoice or weight. per 100 lb. in casks 12 lb, bales, 3 lb. bags, 2 lb. Sugar in bags, or mats, 5lb. other than casks, 121b. per 100 lb. loaf. boxes, 15lb. Case 1. When the quantity is given in cwt. &c. and the tare is not an aliquot part of a cwt. nor so much per cent. Find the whole gross weight in cwt. &c; also find the whole tare in cwt. &c. and subtract the tare from the gross, the remainder will be the net weight. EXAMPLES. 1. In 16. hogsheads of tobacco, each 5 cwt. I qr. 191b, gross, tare per hogshead 100lb. how much net weight? C. qr. Ib. 100 16 4) 21 2 20 28)1600 ( 57 4 140 14 14 Whole gross, 86 2 24 200 Whole tare, 14 1 4 196 Net 72 1 20 Ans. 4 2. In 14 hogsheads of tobacco, weighing gross, 89 C. 3 gr. 17 lb. tare per hogshead, 100 lb. how much net weight? Ans. 77C. lqr. 17lb. 3. What is the net weight of 38 hogsheads of tobacco, weighing gross 201 cwt. 3 qr. 12 lb. tare in the whole 3140 lb. Ans. 173 cwt. 3 qrs. 8 lb. 4. What is the net weight of 5 hogsheads of sugar, weighing as follows, viz ? No. 1= 9C. 3qr. 171b. 90lb. Gross 2310 1 12 Tare 95 3=11 O 20 100 {No 28)285(10 2 2 - 5 5 net, Case II. When the quantity is given in cwt. the tare so much per cent. and is an aliquot part or parts of an cwt. | Divide the whole gross weight by such part or parts, that the tare is of an cwt. the quotient will be the whole tare, which subtracted from the whole gross, the remainder will be the net weight. EXAMPLES. 1. What is the net weight of a hogshead of sugar, weighing gross 9 C. 3 qrs. 141b. tare 141b. per cent? 14 lb. is of an cwt. 8)9C. 3qr. 141b. gross. O 264 tare. 1 Ans. 8 2 154 net. 2. Required the net weight of 2 hogsheads of sugar, weighing together gross, 15C. 3qr. 181b ; tare per cent. 181b. [6lb. is of cwt. 715C. 3qrs. 181b. gross. 21b. is of 161b. 81.2 Ans. 13C. Iqr. 11b, 10oz. net. 3. Required the net weight of 41C. 3qr. 9]b. gross of hops, tare per cent 201b.* Ans. 34C. lqr. 121b. 702. CASE III. When the quantity is given in cwt. &c. the tare so much per cent, but not an aliquot part, or parts of an cwt. then multiply the pounds gross by the tare per cent, and divide the product by 112, the quotient will be the tare, which subtracted from the gross, the remainder will be the net weight. EXAMPLES 1. What is the net weight of 30 barrels of figs, each 2C. 3 qr. gross, tare per cent 13lb ? * This can be worked by taking parts, thus, 16lb. is 4 of cwt. and the 4lb. remaining of the 20lb. is, of 161b. Ans. 72C. 3qr. 191b. 8oz: 2. What is the net weight of 12 barrels of argol, each weighing gross 4C. Oqr. 8lb ; tare per cent 1516 ? Ans. 42C. 1 qr. 71b. 3 oz. 3. What is the net weight of 12 butts of currants, each weighing 70. I gr. 10lb. gross ; tare per cent 151L ? Ans. 76C. Iqr. 21b. 150z. Case IV. When the quantity is given in casks, bags, bales, or boxes, with their several gross weight in pounds, and the tare of each in pounds. Find the whole gross weight in pounds, also find the whole tare in pounds; subtract the whole tare from the whole gross, the remainder will be the net weight in pounds. EXAMPLES. 1. What is the net weight of 3 chests of hyson tea, weighing as follows: |