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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.

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 9 p. c.; how much p. c. did he gain by selling the other for £27, 105.?

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 17 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 £693, 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.

rod. per cwt, and sold a half of it at 34 a lb. and the other half of it at £1, 35. 4d per cwt; how much p. c. did I gain or lose, and how much money altogether?

58. I bought 100 yards for gs. 2d, and scid 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 75. 1cid a yard, and of this quantity is sold at ros. 3d. a yard. at 8s. 6d, and the rest at 75.; state decimally the percentage of profit or loss.

60. I bought I 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 1od. 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 35. 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 51d. 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. per lb. ;

75 lbs. 94 lbs.

29 5s. 2d.
5s. 5d.

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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 55, 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

market, he sells it at 120 per cent. proft, receiving for it the same gross sum as is received by another dealer who purchased a sound cargo and sells it for 32 per cent. profit; find the value of the second cargo.

81. A man buys a house for £450, keeps it empty for 12 months, and then seils it so as to gain 15 per cent.; would he have done better or worse if he had let it for the last 8 months out of the twelve at 8 guineas a month, and sold it for cost price at the year's end?

82. A woman buys a certain number of eggs at 22 for a shilling, and the same number at 18 for a shilling, mixes them and sells at 20 a shilling; how much does she gain or lose by the sale of eggs which cost her £1, 135. 4d.?

83. Bought a quantity of quills at 4s. 7d. a hundred, and sold them so as to gain three-eighths of the selling price; what was the selling price, and what was the profit per cent. on the cost price?

84. A man sold a quantity of snuff for £50, and by so doing lost 33 per cent.; what sum should he have sold it for to get 21 times what he had given for it?

85. A bookseller bought 8 dozens of books at is. 8d. per book, 61 dozens at 25: 7d. per book, and 94 books at 32s. 6d. per dozen; at what price per book, on an average, must he sell in order to gain 10 p. c. on the whole transaction?

86. A speculator buys shares when they are at 191, £15 having been paid up, and sells them again at £32, 9s. when £25 has been paid up; how much per cent. does he gain or lose?

87. A dealer buys 80 tons of coals, and, after selling them again at 1s. 6d. per sack, finds he has gained £4. Had he sold them at 1s. 4d. per sack he would have lost £6. the cost price per ton, and the weight of a sack of coals.

Find

88. A dealer lost a sum equivalent to 9 per cent. on the sale of goods which cost him £3, 19s. 2d., but gained a sum equal to 9 per cent. on a lot which cost him £7, 10s.; how much per cent. had he gained or lost at the end of both transactions?

89. A merchant sells 72 qrs. of grain at a profit of 8 per cent., and 37 qrs. at a profit of 12 per cent. ; but if he had

sold the whole at a uniform rate of 10 per cent. he would have received £2, 14s. 3d. more than he actually received: what was the price which he paid per qr. for the grain?

90. Selling goods at 15 per cent. above cost price, I find that I can dispose of my whole stock in 4 months, but if I ask 20 per cent. I take 6 months to dispose of it; which is the more profitable plan, and what proportion do the profits bear to each other?

91. Out of 300 articles which cost me 6s. each, 6 per cent. were spoilt by the weather, 8 per cent. were broken, and 11 per cent. were never paid for by customers; at what price per article must I sell the remainder so as to gain 12 per cent. on my outlay?

92. If the price of beef in London be 11d. a lb., and 40 per cent. less in America, and if the cost of transport be d. per lb., at what price could American beef be sold in London so as to realize 25 per cent. profit to the importer, and what would be the saving per cent. to the consumer at that price?

93. Took money out of a bank giving 2 per cent., and bought five £20 shares bearing interest at 8 per cent., the shares to be paid up in six equal instalments. I at once paid up five instalments, and at the end of a year and a half, the property having increased 17 per cent. in value, I sold my shares; what did I gain by the whole transaction?

94. A stationer bought 50 reams of paper, hoping to sell at £1, 2s. 6d. per ream, thereby making 8 per cent. profit on the prime cost; but 5 reams being damaged, what did he gain or lose per cent. by selling the remainder at the same rate?

95. A boy bought an apple for 7 marbles (marbles being worth 11d. per dozen), and sold it again for d., how much per cent. did he gain or lose by the transaction?

96. A grocer lost 36 per cent. by selling his cloves at 8d. per Ib.; what would he have gained or lost per cent. by selling them at 1d. per ounce?

97. How much is gained per cwt., and how much per cent. (to 3 decimal places), by selling sugar at 5d. per lb. bought at £2, 45. 4d. per cwt.?

STOCKS.

1. How much must I invest in the 3 p. c. at 911 in order to have an income of £150, 10s. a year?

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