24th, and £150 September 29th. Find amount of interest due from me December 25th, all in the same year, at 2 per cent. per annum. (Consider time in days in each instance.) 46. Compare the interest on £750, from March 3 to July 27, at 51 per cent. per annum, with the value of three tio shares in a concern depreciated 455 per cent. 47. Find the average rate of simple interest in the following investments : (a) £560 producing in 2+ years £56, 14. © £243, 1os. producing in 2 years 5 months £27, 195, o d. (c) £10, 105. producing in 117 days 25. 41327d. 48. A man increased his capital annually part, and at the end of 4 years one year's interest thereon at 4 per cent. amounted to £135; what capital did he start with? 49. What sum will amount to £387, 75. 7d. in 3 years, at 4 per cent. per annum, simple interest? 50. Compare the interest on £705, 8s. 4d., lent from March 10 to May 22, at 5 per cent. per annum, with that of £640 for 6 months, at 3 per cent. per annum. 51. Lent £90 for 80 days, £30 for 92 days, £120 for 105 days; in what time would the aggregate of those sums of money produce the same interest? 52. If I invest £723, 16s. 3 d. for 3 years 11 months, receiving £92, 25. 82437d. interest for it; and invest £320 for 1 year, receiving £9, 12s. interest for it; and invest £750 for 7 years, receiving £262, ios. for interest for it: what is my average rate of interest p. c. per ann. ? 53. Find and add together the interest of £446, 1os. for 3 years 3 months, at 5 per cent ; and the amount of 40 guineas, írom March 16, 1850, to January 23, 1851, at 3% per cent. per annum, simple interest. 54. I invest of os of my fortune at 5 per cent. per annum, from March 10 till May 22, and then draw out an amount of £712, 95. 5d. (capital and interest); what is the amount of my fortune? 55. A man buys 50 shares in a concern at the rate of £20, jos. per share, and 100 more at £7, 155. per share. The halfyearly dividend on the whole is 35. 4d. per share; what interest per cent. per annum does he realize ? 56. What is the rate per cent. of interest if £1009 produces £147-56625 in 4 years 6 months ? 57. I invested £730 on 25th March, and on the 29th September following it amounted to £777 ; what was the rate of interest per annum ? 58. In what time will any sum of money treble itself at 2} per cent., and at 121 per cent. per annum, simple interest ? 59. What is the rate of interest per cent. per annum, if £1950 amounts to £2905, ios. in 21 years at simple interest? 60. In what time will the interest on £325 at 31 p. c.per ann. amount to a sum sufficient to discharge a debt of £67, 125. 61. What was the rate of simple interest per cent. per annum, if £730 laid out on the 25th of March amounted to £753, 1os. on the 29th of September? 62. At what rate p. c. will £440 amount to £449, 125. 6d. in 7 months at simple interest? 63. What sum of money will amount to £307, 16s. in 3 years, at 43 p. c. per annum, simple interest? 64. If the interest on £540, 1os. for one year be 27s. 6d., what principal will yield the same sum in 21 years ? 65. 45 years ago, £2785, 16s. 8d. was lent at simple interest, and it now amounts to £3538, os. 2d. ; what was the rate of interest? 66. What is the capital which, put out at 31 p. c. simple interest for 5 years 4 months, will amount to £9973, 6s. 8d.? 67. At what rate per cent. per annum, simple interest, will £776, 155. amount to £978, 14. 1 d. in 61 years ? 68. In what time will £229, 10s. amount to £258, 3s. 9d., at 5 per cent. per annum, simple interest ? 69. What capital would be required in order to gain £12, is. 0 d. in 2 years 5 months, at 3) per cent. ? 70. What sum of money will amount to £256, ios. in 4 years, at 3) p. c. per annum, simple interest? 71. At what rate per cent. will the simple interest on £4127, ros. amount to £92, 175. 4}d. in 2 years? 72. What principal should be put out at 3; p. c. simple interest for 10 years to amount to £348, 6s.? 73. In how many years will £8500 amount to £9973, 6s. 8d., at the rate of 34 p. c. per ann., simple interest? 74. At what rate per cent. will £1553, ios. amount to £1957, 8s. 2 d. in 34 years? 75. If interest be paid at the rate of 3} p. c. per ann., what sum of money, lent for 4 years at simple interest, would amount to £769, 1os.? 76. What sum ought to be invested at 2 per cent. for 3} years in order to amount to £348, 12s. ? At what rate per cent simple interest would £112, 10S. amount to £128, 55. in 4 years ? 78. What amount of capital, put out at 31 per cent. per annum, simple interest, would produce £14 interest in 2 years? 79. If £10, 8s. 9d. produce 19.6875 shillings interest in 6 months, what is the rate per cent. per annum ? 80. In what time will £91, 135. 4d. amount to £105, ós. old., at 41 p. c. per annum, simple interest ? 81. What principal in 3 yrs. 73 dys. will amount to £10, IS. 10}d., simple interest, at 67 p. c. per annum? 82. What sum of money in 1 yr. 40 dys. will produce £ 235, IS. 4£d. interest, at 3) per cent per annum? 83. At what rate per cent. will £ 230 amount to £231, 18s. 9 d. in 73 days? 84. In what time will £2720 amount to £3604, at 5 per cent simple interest. 85. At what rate, simple interest, will £520 amount to £754 in 9 years ? 86. What is the rate of interest per cent. per annum, when £92, 10s. gains £29, 12s. in 4 years ? 87. What sum of money, at simple interest for 3 years at 4:6 per cent. per annum, will amount to £6156? 3 4 88. If £880 amount to £899, 5s. at simple interest for of a year, what must be the rate per cent. per annum ? 89. In what time will £225 amount to £256, 1os., at 3) P. c. per annum, simple interest ? 90. At what rate per cent. simple interest will £936, 135. 4d. amount to £1157, 78. 4 d. in 43 years ? 91. In what time will £225 amount to £256, 1os., at i P. C. per annum ? 92. What sum will amount to £105, 6s. old. in 3 years, at 41 per cent. per annum ? 93. What principal lent from March 10 to May 22, at 5 per cent., will amount to £712, 9s. 5d. ? 94. A sum invested at 85 per cent. per annum amounts to a guinea in 219 days; what is the sum 95. Find the rate p. c. at which £411, ros. will amount to £416, 125. 10.1d. in a quarter of a year. 96. What principal will yield £43, ios. 7}d. simple interest in 3 years, at 4 p. c. per ann. ? 97. £175 produced £26, 18s. 1}d. simple interest in 3 yrs. 5 mths. ; find the rate per cent. 98. If I lend to a friend £1250 at 4 p. c. simple interest, and tell him to keep it until principal and interest amount to £1666, 135. 4d., how long will he have it? 99. At what rate per cent simple interest will £ 1248, 12. amount in 21 years to £ 1443, 135. 10 d. ? 100. In what time will £12, 1os. amount to £128, 5s., at 31 p. c. simple interest? 101. In what time will £926, 155. amount to £962, 2s. 8}d., at 7 p. c. per ann. ? 102. At what rate per cent. will £325, 16s. 8d. amount to £374, 6s. old. in 31 years at simple interest? 103. What sum invested at 5 p. C. per ann., simple interest, will produce in 4 years the same amount of interest as £250 lent out at 3 p. c. would produce in 6 years ? -104. What sum will amount to £150, 8s. in 4 years, at 5 p. C. per ann. ? 105. In what time will £1275 amount to £1549, 11s. at / p. C. per ann. ? 106. What sum will amount to £425, 195. 4;d. in 10 years, at 39 p. c.? 107. In what time will the simple interest on £812, 1os. 10d. amount to £771, 18s. 3.}d. at 4 p. c. per ann. ? 108. In what time will £125 double itself at 5 p. c. simple interest? 109. At what rate p. c. per ann., simple interest, will 3.!d. produce 3's. in 33years? 110. If £725 gain £141, 75. 6d. in 12 years, what is the rate of interest per cent. per ann. ? 111. What sum put out to interest at 2 p. c. per ann. for 6 years will amount to £188, 125. ? 112. At what rate p. c. per ann. will £ 560, 12s. 6d. amount to £734, 175. 437d. in 4 years ? 113. The interest on £102, 10s. amounts to £12, 135. & d. in 21 years; and the interest on £200 for 146 days in another investment amounts to £4, 16s. : compare the rates of interest 114. In how many years would £250 double itself at 2. P. C. per ann. simple interest? 115. If £250 doubled itself in ur years at simple interest, what would be the rate p. c. per ann. ? 116. What sum put out to interest for 4 years at 3. p. c. will amount to £259, 7s.? 117. What principal will gain £29, 48. 7.d. in three years at the same rate by which £45, 1os. amounts to £56, 175. 6d. in 5 years ? 118. How long will £1465 take to amount to £1836, 145. 10.4d. at 3) p. c. per ann.? 119. Lent £sum on the ist of January at 4 p. c. per ann., when will it amount to £517, 135. ? 120. A borrowed from B £655, and at the end of 8 yrs. 8! m. repaid him with the interest; B's wh:ole receipts being 7902, 35. 5:16d., what was the rate of interest p. c. per ann. ?" D |