Rances & Games of Skill, General Mathematics

Question:Find the income derived from 88 shares of Rs.25 each at 5 premium, brokerage being `1/4` per share and the rate of dividend being `7 1/2`% per annum. Also, find the rate of interest on the investment. 
AnswerCost of 1 share` = Rs. (25 + 5 + 1/4)`

                      `= Rs. 121/4`

Cost of 88 shares` = Rs.(121/4 xx 88)`

                           `= Rs. 2662.`

:. Investment made` - Rs. 2662.`

Face value of 88 shares` = Rs. (88 xx 25)`

                                    `= Rs. 2200.`

Dividend on Rs.` 100 = 15/2.`

Dividend on Rs. 2200` = Rs. (15/2 xx 1/100 xx 2200)`

                                  `= Rs. 165.`

:. Income derived = Rs. 165.

Rate of interest on investment` = (165/2662 xx 100)`

                                           `= 6.2 %`.

Report

Question:A man buys Rs. 25 shares in a company which pays 9% dividend. The money invested is such that it gives 10% on investment. At what price did he buy the shares ? 
AnswerSuppose he buys each share for Rs. x.

Then,` (25 xx 9/100) = (x xx 10/100) or x = 22.50.`

:. Cost of each share = Rs. 22.50.

Report

Question:10. A man sells Rs. 5000, 12% stock at 156 and invests the proceeds party in 8% stock at 90 and 9% stock at 108. He thereby increase his income by Rs. 70. How much of the proceeds were investing in each stock ? 
AnswerS.P. of Rs. 5000 stock`= Rs. (156/100 xx 5000)`

            `= Rs. 7800.`

Income from this stock` = Rs. (12/100 xx 5000)`

         `= Rs. 600.`

Let investment in 8% stock be x & that in 9% stock = (7800 - x).

`:. (x xx 8/90) + (7800 - x) xx 9/108 = (600 + 70)`

`or 4x/45 + (7800 - x)/12`

`= 670`

`or 16x + 117000 - 15x`

`= (670 xx 180) or x = 3600.`

:. Money invested in 9% stock at 108 

`= Rs. (7800 - 3600)`

`= Rs. 4200.`

Report

First Prev 4 5 6 Next Last