XV. STOCKS.

1. Find the income produced by 26260l., if invested in the 3 per cents. at 91.

2. Lay out 116777. 10s. in the 3 per cents. at 861: what will be the half-yearly dividend?

3. A invests 552/. in the 31 per cents. when they are at 92; B invests 6797. in the 3 per cents. when they are at 97: find the difference of their incomes.

4. What would be the difference of income produced by 1000l. invested in the 4 per cents. at 98, and in the 3 per cents. at 94 ?

5. A person invested 39637. 15s. in the 3 per cents. at 943: what was his income from the investment after paying an income tax of 7d. in the £?

6. What income will be obtained by investing 3790l. 8s. 5d. in the 3 per cents. at 92, per cent. commission on the stock purchased being charged by the broker?

7. How much more income will a person obtain by investing 33457. in 3 per cents. at 831 than in 3 per cents. at III, brokerage in each case being 1 per cent.? 8. What rate per cent. upon the money invested is obtained by purchasing

(1) 3 per cent. stock at 90?

(2) 5 per cents. at 105?

9. A and B had each a legacy of 5500l.; A invested it in 3 per cents. at 824, and B in the 3 per cents. at 96: which gained the higher rate of interest, and what was the difference between their incomes?

10. If I buy 3 per cents. at 90, and 31 per cents. at 95, which is the better investment? and by how much per cent. ?

11. An exchequer bill costs 100l., and bears interest at 2d. per day; 100l. three per cent. consols cost 967.: which investment gives the best interest for money, and by how much per cent.?

12. How much 3 per cent. stock at 91 must be sold to realise 4731. 4s.? and what income will be sacrificed by parting with it?

13. What sum must be paid for 1340/. 12s. stock at 1101 per cent. ?

14. What sum must be given for 37851. stock at 953, with 2s. 6d. per cent. commission?

15. Find the income produced by 12600l. 3 per cent. stock, and its sterling value at 95.

16. What is the price of consols when 250/. stock costs 214/. 7s. 6d. ?

17. How much money must be invested in the 3 per cents. at 92 to secure an annual income of 150%.?

18. How much 31 per cent. stock at 974, and how much 3 per cent. stock at 90, must be purchased to yield an income of 150/. in each case ? Show that both will cost the same if there is no brokerage charged. What will each cost if brokerage is per cent.?

19. At what price must I buy into the 3 per cents. to receive at the rate of 34 per cent.?

20. What do I gain or lose in income by selling 7800l. 3 per cents. at 90, and investing the proceeds in the 3 per cents. at 104?

21. What would be the difference of income produced by investing in the 3 per cent. stocks at 854 the sum of 1060l. previously lent on a mortgage at 41 per cent.?

22. How much stock can be purchased by the transfer of 1000l. stock from the 3 per cents at 72 to the 4 per cents. at 90? and what difference in annual income will be produced by it?

23. Find the alteration in income arising from the transfer of

(1) 4550%. stock from the 3 per cents. at 89 to 34 per cents. at 91.

(2) 13651. stock from the 3 per cents. at 90 to 4 per cents. at 105.

(3) 27751. stock from the 3 per cents. at 99 to 34 per cents. at 923, 1 per cent. commission being paid on the purchase.

24. How much 3 per cent. stock at 90 must be sold to realise 37357.? and if this sum be invested at 5 per cent., what increase of income will it produce?

25. A person invests 1950/. in 3 per cent. stock at 931, paying per cent. brokerage; he receives one halfyear's dividend, and then sells at 92, again paying brokerage: what has he made by the investment?

26. A person holding 2450l. 3 per cent. consols, sells out at 931, and invests the proceeds in Russian 41 per cents., whereby his income is increased by 317. 13s. 9d.; at what price does he buy the Russian stock?

27. Egyptian 7 per cents. being at 40, in how many years' time might the debt be repudiated without loss to an investor reclaiming only simple interest, and considering the interest on safe, investments to be 4 per cent. ?

XVI. PROFIT AND LOSS.

1. A wine merchant mixes 5 gallons of wine at 32s. per doz., 4 at 45s., and I at 55s.; how much will the mixture be worth per doz. (supposing the dozen to be equal to 2 gallons)?

2. A grocer has 72 lbs. of tea at 5s. 6d., and 60 lbs. at 3s. 8d.; at what price can he sell them mixed?

3. If a grocer mixes 120 lbs. of sugar at 9ɗ. a pound with 250 lbs. of sugar at 51⁄2d. a pound, at what rate must he sell the mixture so as to gain a penny a pound?

4. If goods bought at 57. 6s. 8d. per cwt. are sold at III. 9s. 4d. per ton, what is the gain per cent. ?

5. At what price per cwt. must goods be sold which were bought at 1. 5s. per ton, in order to gain 5 per cent. ?

6. By selling cloth at 4s. 61d. per yard 9 per cent. is gained at what price per ell must the same be sold to gain 6 per cent.?

7. If 12 per cent is gained by selling a cheese for 4s. 8d., how much per cent. will be gained if it is sold for 5s. 9d.? and what will the actual gain be?

8. A man buys 6 score of apples at the rate of 3 for 2d., and 5 score at d. each: if he sells them all at the rate of 4 for 3d., how much and at what rate per cent. will he gain?

9. If 3 lbs. of tea at 6s. 6d. per lb., 5 lbs. at 5s., and 7 lbs. at 2s. 6d. are mixed, at what price per lb. must the mixture be sold to gain 24 per cent.?

10. Bought 276 yards of cloth at 4s. 8d. per yard; sold of it at 6s., at 5s. 4d., and the remainder at 4s. 2d: what is the whole gain or loss, and the gain or loss per cent.?

11. If the manufacturer makes a profit of 20 per cent., the wholesale dealer a profit of 25 per cent. and the shopkeeper a profit of 40 per cent., what was the cost of the manufacture of an article bought at a shop for 17s. 6d. ?

1. Divide 81 into two parts which shall be in the ratio of 4 5, and also into parts in the ratio of 1,.

2. Divide 1547. between 4 persons, in the proportion of ,,,; and 1447. between 3 persons in the proportion of 4, 3, 25.

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3. A gentleman left by will to A 1000l., to B 950/., to C 800l., to D. 750/.; his estate produced only 2800l.: how much will each legatee have to receive?

4. Three persons, A, B, C, freighted a ship with 340 tuns of wine, of which A loaded 110 tuns, B 97, C the rest; in a storm the seamen threw overboard 85 tuns: how much must each person sustain of the loss?

5. Divide 600l. between A, B, and C, so that B shall have twice as much as A, and C twice as much as A and B together.

6. Divide 100l. among A, B, C, and D), so that B may receive as much as A, C as much as A and B, and D as much as A, B, and C together.

7. Divide 2021. 7s. among 4 men, 3 women, and 5 children, so that each man may have twice as much as each woman, and each woman three times as much as each child.

8. A person divides 37. 15s. amongst 25 men, 25 women, and 25 children; every man has as much as a woman and child put together, and every woman has twice as much as a child: how much has each ?

9. A legacy of 2420l, is left to a family of three children in such proportions that after payment of a legacy duty of 157. per cent. the eldest will receive twice as much as the second, and the second three times as much as the youngest: what will be their respective shares?