44. How many copies of an engraving must a picture dealer sell, at £1, 11s. 6d. per copy, so as to realize 51} p. c. on an outlay of £250?

45. I bought goods for £53, and sold them for £75, giving one year's credit (interest at 5 p. c.); what did I gain per cent. ?

46. If I buy 2048 yds. of linen at 3s. 24d. per yard, and sell the whole for £359, 6s. 8d., required the whole gain and the gain p. c.

47. What sum was lost by selling for £182, 8s., 288 yds. of cloth, bought 6 months ago at 12s. 6d. per yard? Interest calculated at 5 p. c. per ann.

1

48. By selling apples at 3 a penny I gain 5 p. c. ; what do I gain or lose p. c. by selling them 25 for 6d. ?

49. If I lose 14 p. c. by selling 340 qrs. of wheat at £2, 10s. 2d. per qr., at what price per qr. should it be sold to gain 16 per cent.?

50. A bookseller bought two copies of a valuable work at the same price, and sold one for £25, with a profit of 911 p. c. ; how much p. c. did he gain by selling the other for £27, 10s. ?

51. I sold a quantity of hay for £50, losing 333 p. c. ; for what should I have sold it to receive 3 times as much as it cost me?

52. If the price of goods be 29 florins 7 cents 5 mils per cwt., and they are retailed at 84d. a lb., what is the gain p. c., stated in decimals of £1?

53. If a tradesman by selling an article at 8s. 3d. loses 171 p. c., what should he have sold it for to gain 40 p. c.?

54. If a corn dealer, by selling 52 quarters of oats for £69, lost 10 p. c., what ought to have been the price per bushel in order to have gained 8 p. c.?

55. What is the prime cost of a yard of cloth, if selling it at 7 p. c. advance brings 5s. more than selling it at 17 p. c. loss?

56. By selling an article for 2 guineas I gain 40 p. c.; how much p. c. should I have lost by selling it for £12375?

57. I bought 18 cwt. 3 qrs. 24 lbs. of saltpetre at £1, 6s.

Iod. per cwt., and sold a half of it at 3d. a lb. and the other half of it at £1, 3s. 4d. per cwt.; how much p. c. did I gain or lose, and how much money altogether?

58. I bought 100 yards for 9s. 2d., and sold the lot so as to gain of the selling price. Find the selling price, and my gain per cent.

59. 336 yards are bought at 7s. 10d. a yard, and of this quantity is sold at 10s. 3d. a yard, at 8s. 6d., and the rest at 75.; state decimally the percentage of profit or loss.

60. I bought 1 cwt. of hams for £2, 12s. 6d., and sold it at 7d. a lb.; also I cwt. of soap for £2, 6s. 8d., and sold it at 64d. per lb. Compare the profit per cwt. of the two transactions, and state the percentage of gain in each case.

61. I sold a book to a friend at 17 p. c. below cost price. If I had taken his offer of an additional 5s. for it, I should have made a gain of 7 p. c. on my outlay. What did the book cost me, and what did I get for it?

62. A grocer buys sugar at 7d. and at rod. per lb., and mixes them in the proportion of 3:5; what will he gain or lose p. c. if he sells the mixture at 9d. a lb. ?

63. If A's rate of profit is of B's, and for every guinea that B gains C gains a sovereign; compare the profits of A and C.

64. 3 p. c. would have been lost by selling steel pens at 3s. 6d. per gross, but the actual result of their sale was a gain of p. c.; at what rate were the pens sold per thousand?

65. I gained 4 per cent. by selling an article for £; how much per cent. should I have gained by selling it for £?

66. Suppose that a reduction of 15 per cent. in a man's wages causes him to lose eighteenpence weekly, what were his weekly wages before the reduction?

67. If 1 cwt. of tea is sold at a profit of 20 per cent. for £37, 16s., what was its cost price per lb. ?

68. I gained 33 per cent. by selling lace at 13s. 6d. a yard ; what was gained per cent. in selling it at 12s. a yard?

69. A woman bought eggs at 9 for 6d., and sold them at

19d. a score. Her profits came to 2s. 10d. How many eggs did she sell, and what did she gain per cent.?

70. A butcher contracts to supply a regiment with 100 cwt. of beef at 5d. a lb. ; what will be his gain per cent. if he can procure the meat for £2 a cwt.?

71. By selling an article for 19s. I lose 5 per cent. ; what price should it have fetched to clear 12 per cent.?

72. In a shipwreck goods were damaged to the extent of 43 75 per cent. Find the number of ozs. whose value was lost in every lb.

73. A commission agent is to have 15 per cent. on the profits of selling an estate which cost £90,906, 13s. 4d.; what sum must it be sold for in order that the agent may gain £755?

74. By selling cheese at £3, 13s. 6d. per cwt. a grocer made a profit of 22 per cent. ; what did the cheese cost him per lb. in the first instance?

75. A grocer buys 106 lbs. of tea at 3s. 4d.

75 lbs. 94 lbs.

5s. 2d. 5s. 5d.

per

lb. ;

At what rate per lb. must he sell the mixture of these teas in order to gain 10 p. c.?

76. If teas at 5s. 6d., 6s. 5d., and 4s. 9d. a lb. be mixed in equal quantities, and the mixture sold at £32, 18s. per cwt., what will be the gain or loss per cent.?

77. A merchant buys some tea at 2s. 3d. per lb., and some at 3s. 6d. ; in what proportion must he mix them so that by selling the mixture at 4s. a lb. he may realize 20 per cent.?

78. If 100 lbs. of tea be bought at 4s. 4d. a lb. and sold at 5s., and 100 lbs. of sugar be bought at 6d. a lb. and sold at 7d. a lb., how much short of 18 per cent. will be the profit realized on the whole transaction?

79. A merchant invested £3480 in his business. The first year he lost 5 per cent. ; next year he gained 4 per cent. ; and the third year he gained 15 per cent. What was the amount

of his capital at the end of the third year?

80. A tea dealer buys a damaged cargo for £530, and after spending 7 per cent. on the cost price in preparing it for the

121. What principal will amount to £1260 in 5 years at 4 p. c.?

122. At what rate of interest must £730 be lent for 95 days to amount to £739, 10s.?

123. At what rate p. c., simple interest, will £736, 13s. 4d. amount to £885, 16s. 10d. in 4 years?

124. Find the principal which, in 4 years at 4 per cent., will amount to £962.

125. At what rate per cent. per annum should £255, 10s. be lent from April 1st to June 20th to produce £2, 16s. interest? 126. What principal will yield £153 interest in 4 years at 41 per cent.?

INTEREST (Compound).

1. Give the rule for finding the compound interest on a given sum for a given number of years, at a given rate of interest.

2. Find the compound interest on £200 for 3 years, at 5

per cent.

3. Compound interest of £270 in 2 years, at 3 per cent. (answer to decimals of a penny).

4. Compare the simple and compound interest on £1000 for 3 years, at 5 p. c.

5. Find the compound interest on £500 for 4 years, at 5 per cent. per annum.

6. Required the compound interest and amount of £457, 10s. for 3 years, at 4 p. c. per ann.

7. Find the compound interest and amount of £49,000 for 31 years, at 7 p. c. per ann.

8. What is the amount of £400 for 4 years, at 4 per cent. per ann., compound interest?

9. Find the difference between the simple and compound interest on £2000 for 2 years, at 5 p. c. per ann.

10. Find the difference between the simple and compound interest on £116, 2s. 11d. for 3 years, at 9 per cent. per

annum.

11. If the sum of £1200 be put out at 10 per cent. per annum, compound interest, paid half-yearly, what will it amount to in 1 years?

12. What is the compound interest of £5 for 5 years, at 5 per cent. ?

13. Find the compound interest and amount of £207, 155. for 2 years, at 24 p. c. per ann.

14 What is the compound interest on £1200 for 3 years, at 4 p. c. per ann. ?

15. Find the amount, at compound interest, of £14,025, at 4 p. c. per ann., for 4 years.

16. What is the difference between the simple and compound interest on £150 in 3 years, at 4 p. c. per ann.?

17. Find the difference between the simple and compound interest of £150, 15s. for 3 years at 4 per cent.

18. How much more is the compound interest on £41 for 2 years, at 5 per cent. per annum, than the simple interest for the same sum and for the same time?

19. Find the compound interest on £4000 for 2 years, at 5pc. per ann.

20. Compare the simple and compound interest on £415, 10s. for 2 years, at 24 p. c. per ann.

21. What is the difference between the simple and compound interest of £13,333, 6s. 8d. for 5 years, at 5 per cent. per annum?

22. A offers for an estate £83,000 now, and B £96,000 at the end of 3 years; which is the better offer, and by how much, allowing 5 per cent. per annum, compound interest?

23. B invested £1000 for 3 years at 5 per cent. per annum, comp. int.; at what rate per cent. must A invest an equal sum for the same time, in order that he may obtain as much as B by simple int.?

24. At what percentage, comp. int., would £750 amount in 2 years to £826, 17s. 6d. ?

25. What sum of money must be invested to amount to £122, 19s. 813d. in two years, at 5 per cent. per annum, comp. int.?