20. A and B traded together and gained £100. A put in £640; B put in so much that he must receive £60 of the gain. I demand how much B put in. Ans. £960. 21. What quantity of water must I add to a pipe of mountain wine, value £33, to reduce the first cost to 4s. 6d. per gallon? Ans. 20 gal. 22. What difference is there between the interest of £500 at 5 per cent, for 12 years, and the discount of the same sum, at the same rate, and for the same time. Ans. £112 10s. advantage to the interest. 23. If 12 apples are worth 21 pears, and 3 pears cost d. what is the price of fourscore and four apples? Ans. 2s. 04d. 24. Three merchants, F G and H have gained £234, which they are to divide, so that when the profit of F is multiplied by 2, that of G by 3, and H's by 4, their products are to be equal. I demand how much each of them is to receive. Ans. F £108, G £72, H £54. 25. There are 2 pieces of linen; the one is 9 yards shorter than the other, and cost £3 14s. ; the other piece at the same price cost £3 12s. I demand how many yards were in both pieces, and the price of 1 yard. Ans. 111 yds. at 1s. 26. A piece of satin cost a certain sum, and being sold for £3 10s. there is lost in a shilling. I demand the first cost. Ans. £5 16 8. 27. If by selling hops at £3 the planter clears 30 per cent, 10s. per cwt. what was his gain per cent, when the same goods sold for £4 5s.? Ans. £57 17s. 11⁄2d, 28. With 13 gallons of canary at 6s. 8d. a gallon, I mingled 20 gallons of white wine at 5s. a gallon and to these I add 10 gallons of cider, at 3s. per gallon. At what rate must I sell a quart of this mixture, so as to clear 10 per cent? Ans. 1627d. 29. A is dispatched on a commission from London to Edinburgh, distant by computation, 350 miles, and his rout is settled at 22 miles a day: 4 days after B is sent after him with fresh orders, and is to travel 32 miles a day. Whereabout on the road will B overtake A. Ans. 63 miles on this side Edinburgh. 30. If 6lb. of pepper be worth 131b. of ginger, and 191b. of this be worth 4 lb. of cloves, and 10lb. of cloves be equivalent to 63lb. of sugar at 5d. per lb. what is the value of 1cwt. of pepper? Ans. £7 19s. 3d. To compute Compound Interest by Decimals. RULE. Multiply the given sum, if for 5 years 133,8225 10 years 141,8519 11 years 6 years 189,8298 NOTE 1. Three of the highest decimals in the above numbers will be sufficiently accurate for most operations; observing the same rule for parts of years, as is done in Simple Interest. NOTE 2. Any sum will double at Compound Interest in 11 years, 10 months, and 22 days. As there are 25000 drunkards in the United States, who have all received the rudiments of their education at one seminary in the town of Temperate Drinking; admitting the life of the drunkard to be 10 years, and as said town sends out annually a regular supply of well educated beings to keep the ranks filled, how many attend the seminary in said town upon the supposition that 3 years are required to become well qualified to discharge the office of the drunkard? How many miles square is it, allowing 14 acres to each pupil? And how many years will it require, reserving 2 acres on which to erect in monument, to have the whole of the town of Temperate Drinking, set off to the town of Total Abstinence, admitting the petitioners to the high Court of Public Opinion have their request granted to have half of the town of Temperate Drinking, that remain from year to year set off annually to that of Total Abstinence until the whole is obtained with the exception of the 2 acres? Solidity, Diameter of a circle which shall be equal to a given Remarks on the Rule of Three, ib. ib. 154 155 ib. Proportion of the Areas of Circles, The solid contents of irregular bodies how found, Compound Interest by Decimals, 156 ib. 157 174 184 186 190 191 |