2. (a) What is the yearly interest on £27,225 bought into the 31 p. c. at 971? (b) What is the annual interest on £1470 bought into the 2 p. c. at 75? 3. What sum invested in the 3 p. c. at 934 will produce £61, 5s. per annum? 4. Find the yearly income arising from the investment of £6040 in the 3 p. c. consols selling at 94 p. c. 5. Find the yearly income from investing £3960 in railway stock standing at 103, and paying 51 p. c. (brokerage being per cent.). 6. If a person invested in 4 p. c. stock at 77, at what rate per cent. will he receive interest for his money? 7. Which is the better stock for investment, the 3 p. c. at 925, or the 31 p. c. at par? 8. What must be the market value of 3 p. c. stock, so that, after deducting an income tax of 1od. in the £, it may yield 3 per cent. interest? 9. Find the selling price of the 3 p. c. consols, when an outlay of £3020 produces a yearly income of £96. 10. Compare the incomes arising from £9855 invested in 3 per cents. standing at 90, and £10,201 invested in 3 p. c. standing at 101. 11. At what rate should money be invested in 3 p. c. to obtain (a) 3 and (b) 4 per cent. interest for it? 12. If I give part of my income to charity, what sum will be due from me to the charity six months after my investing £1958, 6s. 8d. in 3 per cents. standing at par? 13. What is my whole income from both my investments at the end of the second year, if, having £22,500 in 3 p. c., at the end of the first year I invest the interest of that sum in 10 p. c. stock at par? 14. When a 3 p. c. stock is at 93, find what price a 4 p. c. stock must be at in order that an investment may be made with equal advantage in either stock. 15. How much stock can be purchased for £3116, 5s. in the 3 p. c. standing at 1033, and what income will it yield? 16. I sold out of the 3 p. c. at 96, and invested the sum accruing in railway 5 p. c. stock, thereby increasing my income 50 p. c.; what was the price of the railway stock? 17. What must be the market value of 3 p. c. stock in order that, after deducting income tax of 7d. in the £, it may yield 3 per cent. interest? 18. What is the yearly interest on £76,978 bought into the 3p. c. at 77? What sum would be gained by selling out at 77? 19. How much must a 3 p. c. stock fall below par in order that a broker, charging p. c. fees, may get 4 p. c. interest for my money? 20. If a man receives 4 p. c. interest on his capital by investing in the 3 p. c., what is the price of stock, and how much stock can be bought for £1200? 21. If I transfer £2000 stock from the 3 p. c. at 99 to the 3 p. c. at 86g, what is the difference in my income? 22. What sum muşt a person have invested in the 3 p. c. at 903 if a transfer of of his capital to the 4 p. c. at 115 would increase his income £7? 23. What percentage and what amount of interest will an investor receive, who puts his capital (£19,500) into the 3 p. c. standing at 89, commission being per cent.? 24 How much money will be required to purchase £8621, 10s. 5d stock in the 3 p. c. standing 871, and what income will the purchaser receive? 25. A man invests £9600 in the 4 p. c. at 80, and at the end of each year invests the dividend which becomes due in the same stock. Find his dividend at the end of the third year, the funds remaining all the time at 80. 26. Find the simple interest for 7 years on £10,416, 135. 4d. of stock sold out when standing at 96, and the resulting sum invested in 54 p. c. debentures at par. 27. The value of money increases from 4 p. c. to 5 p. c.; supposing this to have a corresponding influence on the funds, how much ought the 3 p. c. consols to fall? 28. A capitalist invests £5187, 10s. in the 3 p. c. at 83; he transfers of this sum to the 4 p. c. at 96. Find the alteration in his income. 29. Two persons buy respectively with the same sums of money into the 3 and into the 3 per cents., and get the same amount of interest, the 3 per cents. standing at 75; what do the 3 per cents. stand at? market, he sells it at 120 per cent. profit, 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 sells 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, 13s. 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 333 per cent.; what sum should he have sold it for to get 21 times what he had given for it? 85. A bookseller bought 85 dozens of books at is. 8d. per book, 64 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 Is. 4d. per sack he would have lost £6. Find the cost price per ton, and the weight of a sack of coals. 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, 145. 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 bed. 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 1d. per dozen), and sold it again for 3d., 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 lb.; 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, 4s. 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? 2. (a) What is the yearly interest on £27,225 bought into the 31 p. c. at 971? (b) What is the annual interest on £1470 bought into the 2 p. c. at 75? 3. What sum invested in the 31 p. c. at 93 will produce £61, 5s. per annum? 4. Find the yearly income arising from the investment of £6040 in the 3 p. c. consols selling at 948 p. c. 5. Find the yearly income from investing £3960 in railway stock standing at 103, and paying 5 p. c. (brokerage being per cent.). 6. If a person invested in 4 p. c. stock at 77, at what rate per cent. will he receive interest for his money? 7. Which is the better stock for investment, the 31 p. c. at 925, or the 3 p. c. at par? 8. What must be the market value of 3 p. c. stock, so that, after deducting an income tax of 10d. in the £, it may yield 3 per cent. interest? 9. Find the selling price of the 3 p. c. consols, when an outlay of £3020 produces a yearly income of £96. 10. Compare the incomes arising from £9855 invested in 3 per cents. standing at 90, and £10,201 invested in 34 p. c. standing at IOI. 11. At what rate should money be invested in 31 p. c. to obtain (a) 3 and (b) 4 per cent. interest for it? 12. If I give part of my income to charity, what sum will be due from me to the charity six months after my investing £1958, 6s. 8d. in 3 per cents. standing at par? 13. What is my whole income from both my investments at The end of the second year, if, having £22,500 in 3p. c., at the end of the first year I invest the interest of that sum in 10 p. c. stock at par? 14. When a 3 p. c. stock is at 93, find what price a 4 p. c. stock must be at in order that an investment may be made with equal advantage in either stock. 15. How much stock can be purchased for £3116, 5s. in the 3 p. c. standing at 1037, and what income will it yield? 16. I sold out of the 3. p. c. at 96, and invested the sum accruing in railway 5 p. c. stock, thereby increasing my income 50 p. c.; what was the price of the railway stock? |
