Ex. Ift. Three merchants enter into partnership; A's ftock is L.340, B's L.290 and C's L.150; they gain L.260; how much will each draw in proportion to his stock? To prove the operation, add together the shares of the partners, and the fum is the dividend. If there be remainders they must be added, the sum divided by the common divifor, and the quotient carried to the place of farthings, Ex. 2d. A bankrupt owes to A, L.32615, B, L.218: 10, C, L.3755, and D, L 543: 10, his effects amount only to L.610; what should each draw in proportion to his refpective credit, and how much is the compofition per pound?.. A, L.326 15 1464: 610 :: 326 *་ 15: L.136 2 IL to A. B, 218: 10 1464 610 : 218 10: 91 0 II to B.* Instead of stating as above, we may calculate by the rules in the next fection, what each creditor draws at 8s. 4d. the compofition per pound. Questions for Practice. 1. Four partners continue in trade for a year; A, advances L.350, B, L.290, C, L 260 and D, L.200; how should the gain, which amounts to L.275, be divided among them? 2. A bankrupt's effects amount to L 182: 1138; he owes to A, L.110:8:3, to B, L. 100: 3, and to C, L 62:6:3, how much can he pay per pound, and what must each creditor have? 3. A, B and C, continue in company for 3 years; they advance L4500, L.3500, and L. 2800 refpectively; at the end of that time, the profits amount to L. 10,000, what fum will each receive at fettlement? 4. Three graziers rent a park for L.40 per annum, A puts in 40 cows for 5 months, B, 60 cows for 4 months, and C, 70. cows for the rest of the year; what proportion of the rent should each pay? K 5. A, having L.1000, began bufiness in 1796, and 9 months after he took in B as a partner, who advanced L.1500; and 6 months after they admitted C into Co. who advanced L.2000. At the end of the year 1798; their profits amount to L.1050 18, how much is each partner entitled to draw? 6. Three perfons in trade join in an adventure to Jamaica; A advances L.1260, B, L.1050, and C, L.890. They buy goods to the amount of their stock, and insure to the value of L.2000; the goods are loft at fea; and they recover only what was infured. How much will each recover, and what lofs will each sustain? CHAP. VII. RULES FOR PRACTICE. THE whole fyftem of arithmetic is comprehended in the foregoing chapters: the operations contained in them are fufficient for every computation. In many cafes, however, practice has fuggested a variety of contractions, where the joint application of feveral rules is required, which therefore could not be handled in the chapters, in which the rules are feparately confidered. We thall in this chapter point out, and explain to the learner, the readiest methods of performing the various forts of computations, which occur in bufinefs. Sect. I. COMPUTATION OF PRICES BY ALIQUOT PARTS. Here, when the price of one article is given, that the value of any number may be found, we fuppofe the price of each article to be a pound, a fhilling, or a penny, as is moft convenient; accordingly the number of articles will be the value in pounds, fhillings, or pence: we divide the number of articles by the aliquot part or parts of this fuppofed price, which are contained in the real price, and the quotient or fum of the quotients is the answer. RULE I. When the rate is an aliquot part of a penny, of a filling, or of a pound, divide the quantity by that aliquot part, and the quotient will be the answer, in that name of which the rate is an aliquot part, which, if pence or fhillings, reduce to pounds. Ex. What coft 2416 yards of tape at 14d. and 2d. per yard? 2416 T20)2416 or, 2416 20) 302 L.20: 2:8 20) 402 : 8 In example ift we divide by 8, because 1d. is of a hilling, which gives the answer in thillings, then by 20 for the value in pounds. In example 2d, when we divide by for the fecond, the quotient is L.20, and the remainder 16, being two-pences, is 2s. 8d. ΤΣ What coft 2645 yards of ribbon at 3d. and 4d. per yard? What coft 3564 lb. of fugar at 6d. and 8d. per lb.?. )3564 at 6d. or )3564 )3564 at 8d.)3564 fub. 1188 or, L.118: 16 L.89 2 20)2376 L.118:16 Calculate 1987 yards of linen at Is., Is. 8d., 2s. and 2s. 6d. RULE II. When the rate is a fimple number, but not an aliquot part, multiply the quantity by it; the product will be the answer in the fame name as the rate. Or, divide the rate into two or more aliquot parts, work for these as in the laft rule, and add the quotients. Note. If the rate be an even number of fhillings, multiply by half their number, and double the first figure of the product for fhillings; the reft will be pounds. Ex. What coft 842 lb. of raifins at 5d. per lb? What coft 496 yards of muflin at 3s. per yard? What coft 686 gallons of whisky at 6s. per gallon? What coft 754 gallons of brandy at 8s. per gallon? L.205: 16 What coft 265 lbs. of green tea at 9s. per lb.? What coft 376 gallons of rum at 11s. per gallon? 189: 0 20)4136 18:16 L.206: 16:0 L.206: 16 L.206: 16 What coft 456 yards of scarlet at 14s. and 15s. per yard? What cost 378 bolls of corn at 18s. and 19s. per boll? Calculate bolls of wheat at 21s. 223. 258. 429 Add)429 at 218. To)429 at 228. )429 at 258. 21:9 42: 18 107: 5 )429 at 30s. 214: 10 -- L.643: 10 |