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11. A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:

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Solution:
ByinvestingRs.1552,income=Rs.128.ByinvestingRs.97,income=Rs.(1281552×97)=Rs.8∴Dividend=8%
12. A 12% stock yielding 10% is quoted at:

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Solution:
ToearnRs.10,moneyinvested=Rs.100.ToearnRs.12,moneyinvested=Rs.(10010×12)=Rs.120∴MarketvalueofRs.100stocks=Rs.120
13. The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 14%, is:

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Solution:
ForanincomeofRs.756,investment=Rs.9000ForanincomeofRs.212,investment=Rs.(9000756×212)=Rs.125∴ForaRs.100stock,investment=Rs.125MarketvalueofRs.100stock=Rs.(125−14)=Rs.124.75
14. The cost price of a Rs. 100 stock at 4 discount, when brokerage is 14% is:

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Solution:
C.P.=Rs.(100−4+14)=Rs.96.25
15. Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?

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Solution:
Letinvestmentin12%stockbeRs.xThen,investmentin15%stock=Rs.(12000−x)∴12120×x+15125×(12000−x)=1360⇒x10+325(12000−x)=1360⇒5x+72000−6x=1360×50⇒x=4000
16. Which is better investment, 12% stock at par with an income tax at the rate of 5 paise per rupee or 1427%  stock at 120 free from income tax ?

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Solution:
Let investment in each case = Rs. (100 × 120)
Income from 12% stock
= 12100×100×120    = Rs. 1440
Net income
= Rs. (1440−5100×1440)     = Rs. 1368
Income from 1427 % stock
= Rs. (1007×20×100×120)     = Rs. 1428.57
Clearly, 1427 % stock is better.
17. The income derived from a Rs. 100, 13% stock at Rs. 105, is -

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Solution:
Income on Rs. 100 stock = Rs. 13
18. A retired man sells out Rs. 7500 of a 10% stock at Rs. 105.50 and invests the proceeds in 14% stock at Rs. 124.50. What is the change in income if he pays a service charge of 0.5% of the face value on each transaction ?

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Solution:
Number of shares sold = 7500100   = 75
Proceeds from sale of Rs. 7500 stock
= Rs. [(105.50 - 0.5) × 75]
= Rs. 7875
Number of new shares purchased
=(7875124.50+0.50)=(7875125)=63
Original income
= 10% of Rs. 7500
= Rs. 750
New income
= 14% of Rs. 6300
= Rs. (14100×6300)  
= Rs. 882
∴ Change in income
= Rs. (882 - 750)
= Rs. 132
19. The cash realised on selling a 14% stock at Rs. 106.25, brokerage being 14 %, is-

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Solution:
Cash realised = Rs. (106.25 - 0.25) = Rs. 106
20. A person has deposited Rs. 13200 in a bank which pays 14% interest. He withdraws the money and invests in Rs. 100 stock at Rs. 110 which pays a dividend of 15%. How much does he gain or lose ?

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Solution:
Income from bank = 14% of Rs. 13200 = Rs. 1848
Number of shares purchased
= Rs. (13200110)
= Rs. 120
Income from stock
= (15% of Rs. 100) × 120
= Rs. (15 × 120)
= Rs. 1800
∴ Loss = Rs. (1848 - 1800)
            = Rs. 48

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