6. If 6 yds. 3 qrs. of calico cost 5s. 3d., what will 73 yds. 2 qrs. cost? Ans. £2 178. 2d. 7. If 3 workmen earn £191 12s. 6d. in a year (365 days), in what time will they earn £31 IOS.? Ans. 60 days. Ans. 8. If a man walk 4 miles in 1 hr. 20 min., how long will it take him to walk 18 miles ? 5 hrs. 20 min. 9. If 35 yds. are equal to 32 metres, how many metres are there in 7 miles ? Ans. 11264. 10. A certain number of men can do a work in 12 days, working 9 hours a day; how many days will they be if they work 12 hours a day? Ans. 9 days. 11. The sum of £463 16s. is to be raised in a parish which is assessed at £6184: at how much in the pound must the rate be made? 12. If a labourer earns 2s. a day when wheat what ought he to earn when wheat is 6s. a bushel? Ans. Is. 6d. is 8s. a bushel, Ans. 1s. 6d. 13. If 5 oz. of silk are spun into a thread 2 furlongs long, how many pounds of such thread would reach 273 miles ? Ans. 273 lbs. 14. If 14 men can do a piece of work in 18 days, in how many will 24 men do it, the days being 12 hours long? Ans. 10 days. 15. If the carriage of 54 cwt. for 114 miles costs 4s. 8d., how far ought 3 cwt. to be carried for the same sum? Ans. 171 miles. 16. If 4 cwt. 2 qrs. 7 lbs. of coffee cost £36 38. 11d., what will 3 qrs. 14 lbs. cost? · Ans. £6 18s. 10d. 17. If 4 tons are carried 193 miles for 17s. 4d., for what sum will 6 tons 3 cwt. 3 qrs. be carried the same distance? Ans. 4d. Ans. £1 68. 93d. 18. If I ton 12 cwt. of sugar cost £59 14s. 8d., what is the price per pound? 19. Find the value of 25 qrs. 2 bus. of wheat, when 14 qrs. are sold for £38 38. Ans. £68 16s. 1 d. 20. If a courier makes a journey in 20 days, travelling 12 hours a day, how long will he take if he travels 16 hours a day? Ans. 15 days. 21. If I gain 3 florins by selling 2 kilograms of sugar, what should I gain by the sale of 160 grams? Ans. 2 cents 4 mils. 22. A traveller rides 5 leagues in 4 hours; how long will he be riding 18 leagues? Ans. 14 hrs. 24 min. 23. I sell for £29 what has cost me £25: what do I gain on what has cost me £100? Ans. £16. 24. A bankrupt owes A £75, B £100, C £150, and his estate is worth £260: what can he pay in the pound, and what does A receive ? Ans. 16s.; £60. 25. If the rents of a parish amount to £2514 78. 6d., and a rate be raised of £83 16s. 3d., how much will be paid by an estate whose rental is £115 12s. 6d. ? Ans. £3 178. Id. 26. If I cwt. of sugar cost £1 148. 8d., what must I give for 3 lbs. ? 27. If 6 lbs. of tea cost £1 Is. 8d., what will 58 lbs. cost? Ans. £10 IIS. 3d. Ans. Is. Id. 28. A bar of impure gold weighing 15 lbs. 3 oz. 8 dwt. cost £550 48.; what was the price per oz. ? Ans. £3. 29. When a stone of wheat costs 28., a penny loaf weighs half a pound; how much should it weigh when wheat is 1s. 6d. a stone? Ans. 10 oz. 30. How many pieces of money of 278. value are equal to 90 pieces of 128. each ? Ans. 40. 31. I lend a friend £200 for 12 months, for how long ought he to lend me £150 in return? Ans. 16 months. 32. An army besieged a garrison of 1000 men with provisions for 3 months; after an assault the provisions lasted them 4 months. How many of the garrison were killed in the assault? Ans. 250 men. 33. A courier performs a journey in 24 days of 12 hours each; how many days of 16 hours each will he be? 34. If a cloak takes 4 yds. of cloth 12 yds. wide, it take if the cloth is yd. wide ? Ans. 18 days. how much will Ans. 9 yds. 35. If a treasure of silver was worth £1800000 in the time of Henry VII. when silver was worth £1 178. 6d. a pound, what would it be worth now, when silver is 5s. 6d. an ounce? Ans. £3168000. 36. An article which cost 6s. 8d. is sold for 8s. 10d.; what would the profit be if £100 were invested in this traffic? Ans. £33 88. 9d. 37. If 1 yds. of silk cost 10s. 6d., what will be the cost of 75% yards, and how many yards can be bought for £3? Ans. £22 158.; 10 yds. 38. A person whose income is £625 a year, spends £220 in 146 days: how long will he be saving a year's income? Ans. 8 years 4 months. 39. If cwt. cost 78£, what will 63 lbs. cost? Ans. £1 1s. 3d. 40. A garrison of 1000 men is victualled for 30 days, after 10 days it is reinforced, and then the provisions were exhausted in 5 days. What was the number of the reinforcement ? Ans. 3000 men. 41. A garrison was victualled for 30 days, and after 10 days it was reinforced by 3000 men, and then the provisions were exhausted in 10 days. What was the original number of the garrison ? Ans. 3000 men. 42. If 48 oz. of tea cost Is., what will 292 lbs. cost? Ans. £5 8s. 43. If rds of an estate is worth £220, what is the value of åths of the same? Ans. £90. 44. If 212 yds. of ribbon can be bought for 9 fl. 5 cents 4 mils, what can be bought for 4 cents 5 mils? Ans. 10 yds. 45. In a race of 100 yds., A beats B by 16 yds., and C by 4 yds.: what start must C give to B in a race of 200 yds., to make it a dead heat ? Ans. 25 yds. 46. A bankrupt owes one creditor 1000 guineas, to each of 2 others £500, and to each of 3 others £150; his assets are £750: how much does he pay in the pound, and how much does the first creditor receive ? Ans. 6s.; £315. 47. A bankrupt's assets are £675, out of which he pays 158. in the pound on half his debts, and 128. on the other half: what was the amount of his debts? Ans. £1000. 48. The supply of a certain number of persons with bread at 74d. a loaf costs £27 18s.; what will be the cost of supplying rds of that number at 64d. a loaf? Ans. £15 10s. 49. Ifths of a lottery ticket is worth £4 108., what is th worth? 50. A watch set accurately at noon indicates 5 o'clock the same afternoon: what is the time indicates 5 o'clock ? Ans. £4 16s. 10 min. to 5 at when the watch Ans. 10 min. 2030 sec. after 5. 51. Two clocks point to 2 o'clock at the same instant; one loses 7 sec., and the other gains 8 sec. in 24 hours. half an hour before the other ? When will one be Ans. In 120 days. 52. A tithe rent of £385 per annum is commuted in equal parts into a corn rent consisting of wheat at 56s., of barley at 35s., and oats at 228. a quarter: find its value when wheat is at 64s., barley at 448., oats at 24s. a quarter. Ans. £448. 53. A pound of silver is coined into 66 shillings, of which only 62 are issued on account of imperfections. What amount of silver coinage must be sent to the mint, in order that 18 florins, 26 fourpenny-pieces, and 28 threepenny-pieces, may be reissued ? Ans. 55 shillings. 54. If an English sovereign be worth 253 francs, how many francs are equal to £3 15s.? Ans. 95. 55. A watch which gains uniformly tells the true time once in every 200 days; how much does it gain or lose per hour? Ans. 9 sec. 56. A watch, which is 10 minutes fast at 12 o'clock at noon on Monday, gains 3 min. 20 sec. a day; what time will it show at 6 o'clock on the following Saturday morning? Ans. 25 min. 50 sec. past 6. 57. If 15 men, 12 women, and 9 boys can complete a piece of work in 50 days, how long would 9 men, 15 women, and 18 boys take to do it, when I man equals 3 boys, and I woman equals 2 boys ? Ans. 52 days. 58. Of two clocks, one gaining 7 sec., the other losing 8 sec. every day, the first is at 12 o'clock, which is the right time, and the second at a quarter past 12; when will they be together, and what time will they then show? Ans. In 60 days, and 7 min. past 12. 59. If 475 metres of cloth cost £102 6fl., what is the cost of Ans. £4 9 fl. 6 cents 8 mils. 2 deca. 3 metres ? 60. If 209 hectares of land produce 731 kilolitres 5 hectolitres of corn, what will be the available produce of 24 hectares, after putting byth of the whole for seed? Ans. 79 kilo. 8 hectolitres. 61. If a quarter of corn weighs 36 stones, and a kilolitre is 3 qrs. 3 bus., and a kilogram 2 lbs. 3 oz., what is the weight of a kilolitre of corn? Ans. 777 kilo. 6 hectograms. EXERCISE LI. Represent as decimals. (1) 27 ÷ 10; 35÷100; 489 ÷ 1000; 45 ÷ 1000. |