Ex. (4) If 7334 198. 9d. be invested in 5 per cents. at 102, what income will be obtained?

Here £7334 198. 9d. is sterling money, so that

10235: £7334 198. 9d.

Ex. (5) A person sold out at 98 some stock on which at 4 per cent. he had received £173 9s. 6d. interest; what would he obtain for it.?

In this case the value in sterling money is required, so that

Ex. (6) What is the price of stock when £8492 178. is paid for £9320 stock?

N.B.-In forming a proportion as in the above examples the stock is considered (what in many cases it was) as money, though of a different intrinsic value to the sterling money.

In some questions, two or more separate operations may be required.

Ex. (7) What alteration would be made in income by the transfer of £2915 from the 3 per cents. at 88, to India 5 per cents. at 106?

In this question, three things must be determined,

(1) the original income in the 3 per cents.,

(2) the value in sterling money of the stock when sold out,

(3) The income which this money will produce when invested in the 5 per cents.

(1) 100 3: £2915

3

£87°45

20

9'008.

... Original income = £87 9.

(2) 100: 88: £2915

177 of £2915 = value in sterling money.

200

=£115 88. 9d. = new income.

... Increase = £115 88. 9d. - £87 98. = £27 198. gd.

Exercise 70.

Stock and Sterling Money.

(1) Find the value of £800 stock at 109%.

(2) What must be paid for £495 stock at 98?

(3) For how much would £978 railway stock be sold at 78?

(4) Find the value of £4785 4 per cent. stock at 100.

(5) How much must be paid for £1250 3 per cent. Consols at 87, with brokerage per cent.? how much will the seller receive?

(6) How much bank stock at 754 may be bought for £8729?

(7) How much consols at 91 may be bought for £847 98. 37.?

(8) Find the quantity of railway stock which may be bought for £1261, at 1214.

(9) If India 5 per cent. stock is at 102, how much stock may be purchased for £813 8s. 9d.?

(10) How many £10 railway shares at 67 may be bought for £165?

(11) What must be the price of stock in order that £1840 stock may be bought for £1794?

(12) £1500 stock having been bought for £1374 78. 6d., determine the price of stock.

Stock and Interest.

(13) What income would be derived from £7425 3 per

cents.?

(14) Find the income from £958 in 5 per cents.

(15) How much will a person receive from £2350 railway stock if a dividend of 4 per cent. be declared?

(16) How much 3 per cent. stock must be bought to give an income of £240?

(17) A person receives £68 12s. as his half-yearly dividend from 4 per cents., how much stock does he hold?

(18) Find the total income of a person whose property consists of £2895 3 per cents., and £8269 railway stock paying a dividend of 64 per cent.

(19) Determine the rate per cent. paid by some stock when a holder of £4920 receives £184 10s.

(20) Find the rate per cent. at which £2775 stock will yield an annual return of £124 178. 6d.

Sterling Money and Interest.

(21) If £2912 be invested in the 3 per cents. when they are at 91, what interest will be received?

(22) Find the interest on £7000 when invested in 4 per cents. at 1034.

(23) What income would be derived from a sum of £6864, if it were invested in 5 per cents. when they are at 130?

(24) A person invests £5270 in railway stock at 63; what income will he derive from it if a dividend of 34 per cent. be declared ?

(25) If the funds (3 per cent.) are at 881, what rate per cent. interest will an investor receive on his money?

(26) How much money must be invested in 3 per censt when at 92 to receive £245 interest?

(27) £300 is received as interest from 5 per cents. on money which was invested when they were at 1314; what sum must have been invested?

(28) Find the sum required for investment in 4 per cents. at 98 to produce an income of £200 a year.

(29) A person who bought some bank stock when it was at 107, received £384 58. when a dividend of 74 per cent. was paid. How much had he invested?

(30) What must be the price of the 3 per cents. in order

that a buyer may receive 3 per cent. interest on his money?

(31) A person invested £2855 in a bank when the stock was at 142, what is the rate per cent. of the dividend when he receives £150?

(32) How much will be received for some 3 per cent. stock from which an income of £250 has been derived, if sold out at 871 ?

(33) 5 per cent. stock which has paid £340 interest is sold out for £7990; at what price was it sold?

(34) In what stock must an investment have been made from which £185 10s. was derived annually, and which when sold out at 97 produced £5141?

(35) A person receives 4 per cent. interest on his money by investing in some 6 per cent. stock, at what price did he buy it?

(36) If £4115 3 per cent. Consols be transferred when the funds are at 87 to 5 per cents. at 102, what additional income will be obtained?

(37) If seven £100 shares, bought at a discount of 3 per cent., be sold at a premium of 3 per cent., how much will be gained on them?

(38) Some shares costing originally £100 a share pay a dividend of 8 per cent., what must be their price now in order to return a purchaser 5 per cent. for his money?

(39) How much 3 per cent. stock at 86g may be bought with the proceeds of £315 railway stock sold out at 68 ? (40) Find the difference of income made by transferring £6685 from 4 per cents. at 90 to 4 per cents. at 951.

(41) What dividend will be paid on £880 railway stock at the rate of 3 per cent., after deducting 6d. in the pound for income tax?

(42) Find the loss to holders of £100000 in mining shares, if the value of the shares fall from par to 31 per cent. discount.

(43) Which investment would pay the higher interest, în 5 per cents. at 1374 or in 3 per cents. at 911, and what would be the difference in the rates per cent. of the interest paid?