60. Two watermen rowing with the tide, flowing at the rate of 24 miles an hour, got over 20 miles in 3.2 hours; in what time could they do the distance against the same tide? Give answer in decimals of an hour. 61. Find the sum, difference, product, and quotient of '151904 and 0505. 62. Divide £31, 8s. among 6 men and 11 boys, giving a boy ·525 of a man's share. What is the worth of a man's share and of a boy's share? 63. A field of 542857 i acres was purchased for £,406, 16s. ; how many acres should be sold at the same rate for £355, 195. ? 64. If •3 of an estate is worth £450, 15s., what is the value of 48 of the estate ? 65. Find the value of £'05625 and £'192708 3. 66. A owns •567 of an estate, and B 6 of the remainder ; what is the value of B's share if the whole estate be worth £27,000 ? 67. Find the cost of -2625 of a mile at the rate of 97d. per yard; and of 3.6 of 4 qrs. 4 bush. at 56s. 6!d. per quarter. 68. One pound of sugar being worth '03515625 of £1, 125., find the value of '15625 cwt. 69. Add together, and state the result, the sum, the difference, the product, and the two quotients of 04 and '005. 70. If lbs. of sugar cost '03515625 of 56s., what is the value of '3125 cwt. ? 71. Find by decimals (to three places) how often £1, 195. 11 d. is contained in £473, 18s. 6 d. 72. What decimal of a half-sovereign is each of the silver coins now in use in England? Add those decimals together, and state (in decimals and in coins) how much their sum exceeds the half-sovereign. 73. Make out this bill :-9-14 lbs. of tea at 45. 2d. per lb. ; 8.6 lbs. of tea at 35. 3d. ; 13'03 lbs. of sugar at is. 3d. ; 87.006 lbs. of tobacco at 6s. 3d. a Ib. 74. Add together I of a guinea, 3 of £4, 13 of half-a-crown, * of a shilling, and express their sum as the decimal of 85. 4d. 75. A person owned } of a coal mine, and sold off of his share for £5125:25; what was the value of the mine and of his share of it? 76. Find the difference between a dozen half-crowns reduced to the decimal of a score of half-crowns, and a score of halfcrowns reduced to the decimal of a dozen. 77. Express in decimals the average of 8.625, 201, 3245, 12, 0, , and 471 78. I am paid one guinea per working week of 6 days; express decimally the amount of my earnings in a leap year, beginning (1) with a Monday, (2) with a Sunday. 79. State and prove the rule for the reduction of circulating decimals to vulgar fractions. Give examples. 80. Find the difference between 'os and }; and between •18 and } ; and between 8 i and ; and add their differences together. 3 81. Add 2 of 4s. 7d., 235 of a shilling, -2375 of £1, and 43 a 1 reduce the result to the decimal (5 places only) of half-aguinea. 82. How many seconds are there in a century, if a solar year contains exactly 365'242218 solar days? 83. Divide £5775 into 86'625 shares, and find what fraction each share is of 9-3 guineas. 84. Find the sum-total of the following quantities, and the value of the whole at •7 of 6s. 8d. per pole, viz. ti of it of an acre +-95 of 8 of a rood. 85. What is the cost of a dish of almonds and raisins, consisting of:375 lbs. almonds and 75 lbs. raisins, if the almonds be £0416 and the raisins £:04583 per lb. ? 86. Find the value of 1 lb. avoirdupois of pure gold, if the value of 1 oz. Troy of sterling' gold, 916 fine, is £3.89375. 87. If a man travels in the day .9746 of 15274 miles at an expense of •73 of 75. 6d., how far will he go in 365'242242 days, and at what cost? Give both answers to five places of decimals. a 3 INTEREST (Simple). 1. What is the simple interest on £185 for 4 years, at 4 P. C. per ann. ? 2. Find the simple interest on £888 for 4} years, at 34 per cent. 3. Find the simple interest on £880 for 58 months, at 73 per cent. per ann. 4. Find the simple interest on £270 for 45 years, at 5 per cent. per ann. 5. What is the simple interest on £345, 198. 4d. for 2 years, at 4 per cent. per ann.; and on £546, 7s. Tod. for 48 days, at 3 per cent. per ann. ? 6. What is the interest on £100 for 27 weeks 3 days, at 5 p. c. per ann. ? 7. Find the simple interest on £748, 155. for 9 years, at 53 and 5* p. c. per ann. 8. Find the simple interest on £500 for 4 years, at £5, 75. 6d. p. c. per ann. 9. Find the amount of £325, 16s. 8d. at 41 per cent. simple interest in 3 years. 10. Find the simple interest on £245, 16s. for 73 days, at 2 p. c. per ann. 11. Find the simple interest on £926, 15s. for 200 days, at 7 p. c. per ann. 12. Find the simple interest on £12,775 for 198 days, at 3} p. C. per ann. 13. What is the amount of £297, 155. 6d. for 12 weeks 4 days, at 31 per cent. ? 14. Find the interest on £945, 1os. for 7 years, at 4 p. C. per ann. 15. To what sum does 31 per cent on £12, os. 2 d. amount? 16. What is the interest and amount of £802, 175. 6d. for 4 years, at 21 p. c. per ann. ? 17. Find the simple interest and amount of £10,010, 1os. for 64 years, at 94 p. c. per ann. 18. Find the amount (capital and interest) on £1158, 175. 6d. for 1 year 115 days, at 2 per cent per annum; and on £3996, 155. for 4 years 225 days, at 2per cent. per annum, simple interest. 19. Find the simple interest on £800 for 4 years 16 weeks, at 4 P. C. per ann. 20. Find the simple interest on £236, 6s. 8d. for 2 years, at 3 per cent. 21. Find the amount of £2833, 6s. 8d. for 43 years, at 3 per cent. 22. Find the simple interest on £8001, ios. for 11 years, at 7} p. C. per ann. 23. Find the simple interest on £411, ros. for a quarter of a year, at 43 per cent per annum. (Fractions of a farthing may be neglected.) 24. Find the interest on £198, 6s. 8d. for 3 years, at 3) per cent. per annum. 25. Find the simple interest on £257, 6s. rod. for 33 years, at 5 per cent. per annum; and of £925, 16s. for 4+ years, at 3 per cent per annum. 26. If a boy 11 years old puts a guinea into a savings bank paying 2} per cent. per annum simple interest, what sum will he be able to take out when he is 14? 27. A sum of £350 is lodged in a bank; what will it amount to at the end of 6 years 10 months at 43 per cent. simple interest? 28. Find the simple interest and amount of £7506 for 7 years, at 4. p. c. per ann. 29. Find the simple interest on £,800 from 1st January 1872 to 21st May 1872, both inclusive, at 5 per cent. per annum. 30. What would be the interest on £150 from the roth of September till the 22d of November in the same year, at 41 per cent. per annum ? a 31. Find the amount of £2250 in 4 years, at 31 per cent. simple interest. 32. Find the simple interest on £10,400 for 4 years 16 weeks, at 4 p. c. per ann. 33. Find the simple interest on £2500 for 11 years, at 53 P. C. per ann. 34. Find the simple interest on £90,010 for 7 years 6 months, at 37 p. c. per ann. 35. Find the simple interest and amount of £1248, 12s. for 5 years, at 3} p. c. per ann. 36. Find the simple interest and amount of £1277, 1os. from the 31st of March till the 4th of July of the same year, at 8 p. c. per ann. 37. Find the simple interest on £639, 8s. from May 10 to August 20, at 5. p. c. per ann. 38. Which will produce the larger interest per annum, and by how much, £5875 invested at 43 per cent., or £8990 invested at 3) per cent. ? 39. Find the simple interest on £220 for 7 months, at 32 p. c. per annum, and deduct from it •375 of a guinea. 40. Which investment will bring in the larger sum, and by how much, at the end of 7 years, £925 at 5.825 per cent. per annum, or £2500 at 23 per cent per annum, both at simple interest? 41. I am entitled to io of the interest on £750 from March 3 to July 27, at 5 per cent. per annum, how much should I receive? 42. A tradesman starts with a capital of £2400, and puts by a profit of 6% per cent yearly; what is he worth at the end of 71 years? 43. A £ 50 railway share pays a yearly dividend of £6 ; what annual interest do I get on my money if I bought the share for £55? 44. £550, 103. was borrowed January 1, 1861, at the rate of £5 per cent. per annum ; what sum repaid the debt on the 20th of October in the same year ? 45. I borrowed £525 March 25th, paid £200 back June |