General Mathematics

Question: A man interested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the man gets 12.5% on his annual income is :
ARs. 534.60

BRs. 655.60

CRs. 648

DRs. 207.40

Note: Number of shares` = (4455/8.25)`

                             `= 540`

Face value`= Rs. (540 xx 10)`

                `= Rs. 5400.

Annual income` = Rs. (12/100 xx 5400)`

                      ` = Rs. 648`

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Question: A man buys Rs. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investment, at what price did he buy the shares ?
ARs. 40

BRs. 48

CRs. 52

DRs. 37.50

Note: Dividend on 1 shares `= Rs. (10/100 xx 50)`

                                 `= Rs. 5.

Rs. 12.5 is an income on an investment of Rs. 100

Rs. 5 is an income on an investment of Rs. (100 xx 2/25 xx 5)`

                                       `= Rs. 40`

:. Cost of 1 shares = Rs. 40

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Question: A man buys Rs. 20 shares paying 9% dividend. If the man gets 6% interest on his money, the market value of each share is :
ARs. 54

BRs. 30

CRs. 13.33

DRs. 10.80

Note: Dividend on each share` = Rs. (20 xx 9/100)`

                                   `= Rs. 1.80.`

To have an income of Rs. 6, investment = Rs. 100

To have an income of Rs. 1.80, investment

`= Rs. (100/6 xx 1.80)`

`= Rs. 30`

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Question: The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being `1/4%,` is :
ARs. 124.75

BRs. 125.25

CRs. 108.25

DRs. 112.20

Note: For an income of Rs. 756, investment = Rs. 9000

For an income of Rs.`21/2`, investment`= Rs. (9000/756 xx 21/2)`

     `= Rs. 125.`

:. For a Rs. 100 stock investment = Rs. 125.

Market value of Rs. 100 stock` =  Rs. (125 - 1/4)`

                                   `= Rs. 124. 75.`

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