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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 £10 shares in a concern depreciated 45 per cent.

47. Find the average rate of simple interest in the following investments :

(a) £560 producing in 24 years £56, 145. (0) £243, 1os. producing in 2 years 5 months £27, 195, Oid. (1) £10, 1os. producing in 117 days 25. 414397, d.

48. A man increased his capital annually $ part, and at the end of 4 years one year's interest thereon at 4 per cent. 2mounted 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. 8393d. interest for it; and invest £320 for ! year, receiving £9, 125. interest for it; and invest £750 for 7 years, receiving £262, ros. 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, from March 16, 1850, to January 23, 1851, at 35 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 £112, 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 3s. 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 3} 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. 43 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, 145. 1}d. in 61 years ?

68. In what time will £,229, 1os. 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. 01d. in 2 years 5 months, at 3) per cent. ?

70. What sum of money will amount to £256, ros. in 4 years, at 3} p. c. per annum, simple interest?

71. At what rate per cent. will the simple interest on £4127, 108. 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, 65. 8d., at the rate of 3. 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 34 p. c. per ann., what sun of money, lent for 4 years at simple interest, would amount to £;69, ros?

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, 5s. in 4 years?

78. What amount of capital, put out at 31 per cent. per annum, simple interest, would produce £14 interest in 25 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, 13s. 4d. amount to £105, 63. old., at 41 p. c. per annum, simple interest?

81. What principal in 3 yrs. 73 dys. will amount to £10, is. 104d., simple interest, at 64 p. c. per annum?

82. What sum of money in 1 yr. 40 dys. will produce £235, 15. 44d. interest, at 31 per cent. per annum?

83. At what rate per cent. will £230 amount to £231, 185. 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, 108. gains £29, 125. in 4 years ?

87. What sum of money, at simple interest for 3 years at 4:6 per cent. per annum, will amount to £615'6?

88. If £880 amount to £899, 55. 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, ios., at 13 p. C. per annum?

92. What sum will amount to £105, 6s. o.d. in 34 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, gs. 50 ?

94. A sum invested at 8.} 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.d. in a quarter of a year.

96. What principal will yield £43, 1os. 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, 12S. amount in 2 years to £ 1443, 135. 10 d.?

100. In what time will £112, 1os. amount to £128, 5s., at 3) 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 3 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 3 P. C. per ann. ?

106. What sum will amount to £425, 195. 4 d. in 10 years, at 3 p. c.?

107. In what time will the simple interest on £812, 1os. 10d. amount to £771, 18s. 3}d. at 41 p. c. per ann. ?

108. In what time will £125 double itself at 5 p. c. simple in:erest?

109. At what rate p. c. per ann., simple interest, will 3.d. produce 3.s. in 33 years?

110. If £725 gain £141, 7s. 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 61 years will amount to £188, 125. ?

112. At what rate p. c. per ann. will £ 560, 125. 6d. amount to £734, 175. 437d. in 4 years?

113. The interest on £102, 1os. amounts to £12, 135. 81d. 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. 1. c per ann. simple interest?

115. If £250 doubled itself in 11 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. Famount to £259, 7s.?

117. What principal will gain £29, 4s. 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!d. at 3) p. c. per ann.?

119. Lent £511 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 whole receipts being 2902, 35. 5*16d., what was the rate of interest p. c. per ann. ?

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