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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 mont 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 ud. a Ib., and 40 per cent. less in America, and if the cost of transport be jd. 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 8.1 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 173 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, 25. 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 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 11d. per ounce?

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

3 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, 1os. a year?

2. (a) What is the yearly interest on £27,225 bought into the 3} p. c. at 974 ?

(6) 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 943 p. C.

5. Find the yearly income from investing £3960 in railway stock standing at 103, and paying 54 p. c. (brokerage being 1 per cent.).

6. If a person invested in 4 p. c. stock at 777, at what rate per cent. will he receive interest for his money?

7. Which is the better stock for investment, the 37 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 go, and £10,201 invested in 37 p. c. standing at 101.

11. At what rate should money be invested in 31 p. c. to obtain (a) 3 and (6) 43 per cent interest for it?

12. If I give so 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 38 per cents. standing at par?

13. What is my whole income from both my investments at Ahe end of the second year, if, having £22,500 in 34 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 37 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 31 p. c. standing at 103], 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 3) P. c. at 77? What sum would be gained by selling out at 778?

19. How much must a 31 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 41 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 863, what is the difference in my income?

22. What sum mușt a person have invested in the 3 p. c. at 90} 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 893, commission being $ per cent. ?

24. How much money will be required to purchase £,8621, 10s. 5d. stock in the 3 p. c. standing 875, 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 51 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, 1os. 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 33 per cents., and get the same amount of interest, the 3 per cents. standing at 75; what do the 31 per cents. stand at?

30. If the 3 per cents. are at 92}, and the 4 p. c. at 123}, what sum is one investing when the difference of income is one shilling?

31. What price are the 3} per cents. at when a man buy's stock producing £17, 1os. a year for £401, 135. 4d. ?

32. The 3 per cents. standing at 98}, what sum must be invested in them to produce an annual income equal to the whole interest on £500 for 14 years at 2} per cent. ?

33. B has a fortune which yields £288 a year in the 3 P. C. at 925; A has £6633 ready money. How much per cent. must A's money be increased that it may equal the selling price of B's?

34. If I purchase £1000 3 p. c. consols standing at 967, and selling out again when they have fallen to 82, invest in 33 p. c. stock at par, what do I lose by the transaction in capital, and what do I gain in income?

35. What income would be derived from laying out £10,587 sos. in 5. p. C. stock standing at 1051, broker's commission being per cent. ?

36. If a broker sells £1066, 135. 4d. out of the 3 p. c. at 93), how much will he require to add to the sum thus realized in order to purchase £1150 in the 3. p. c. at 92.1? What will be the increase of income when the transaction is completed ?

37. By investing a certain sum in the 3 per cents. at 91.1, a man obtains an income of £464; what would he obtain by investing an equal sum in the 4 per cents. at 96?

38. If I sell out my property in the 3 p. c. standing at 96, and invest the proceeds in £100 railway stock standing at 555, and paying a dividend of 1 p. c.; if : be allowed for brokerage in each case, will this transaction increase or diminish my income?

39. A's fortune, if increased 6 p. c., would be equal to of the selling value of B's, which yields £576 a year in the 3 P.C. standing at 92}; what is A's fortune?

40. If I withdraw my fortune (£3000) from 4) p. c. stock standing at par, and re-invest in 43 p. c. stock standing at 96,

the transfer expenses paid out of my capital being £9, 45. 7 d., what is the effect on my income?

41. What sum will be left out of the amount realized by selling £1000 stock standing at £911, if enough be set aside to clear £43, 125. in 14 years at 32 p. c. per ann. ?

42. I have £26,080 to invest, and the 3 p. c. are at So; I wait 11 days for a fall, but the funds rise steadily & p. c. per day, and on the urth day I invest, and am now compelled to pay a broker šp. C: what loss of capital do I sustain by my delay, and what will be the amount of my annual income from the investment ?

43. Explain the following extract from the Times :-Consols, which left off last evening at 943 to I, opened at 94 to, and remained without variation till the close of business;' and find the alteration in the income of a capitalist who has 200 shares in a railway bought at £100 a share, by his selling them all at £46 per share when they are paying 2 p. C., and investing in the 3 p. c. at 92.

44. Required an annual income of £460. I have my choice of investing in three per cent stock at 87%, or in shares costing £233 each, on each of which a dividend of £7, 135. 4d. is paid annually; what sum must I invest in the former, and what in the latter, to produce the required income?

45. I bought into the 3 p. c. standing at 92}, and sold out again when they had risen to 96, improving my income by investing the proceeds in 5 p. c. stock at par to the extent of £183, 155. per ann. ; what amount of stock did I purchase in the 3 p. C., and what had I to pay for it?

46. To what fraction of 1os. will be of a farthing in the £, on the income derivable from investing £7927, 1os. in the 3 P. C. at 94ş, amount?

47. If I possess £1000 stock in the 3 p. c. consols, purchased at 96, and sell out when they have fallen to 82*, how much do I lose on my purchase money, and what interest shall I receive for the sum realized by the sale, if I invest it in 57 railway stock at par? 48. Wanted an income of £61, 55.

What fraction of a million of money must be invested in the 31 per cents., standing at 93), to produce it?


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