Advertisements
Advertisements
प्रश्न
By selling at Rs. 92, some 2.5% Rs. 100 shares and investing the proceeds in 5% Rs. 100 shares at Rs. 115, a person increased his annual income by Rs. 90. Find:
(i) the number of shares sold.
(ii) the number of shares purchased.
(iii) the new income.
(iv) the rate percent which he earns on his investment.
उत्तर
Rate of dividend = 2.5% and market price = Rs. 92
Let number of shares purchased = x.
Selling price of x shares = 92 x
Income from investing
₹ x = `(92x xx 2.5)/(92)`
= `(92 xx x 25)/(92 xx 10)`
= `(5)/(2)x`
Again by investing 92 x in 5% at ₹ 115
the dividend = `(92x xx 5)/(115)` = 4x
Difference = `4x - (5)/(2)x = (3)/(2)x`
∴ `(3)/(2)x` = 90
⇒ x = `(90 xx 2)/(3)` = 60
(i) ∴ No. of shares = 60
(ii) No. of shares sold = `(92x)/(115)`
= `(92 xx 60)/(115)` = 48
(iii) New income = 4x = 4 x 60 = ₹ 240
(iv) Rate percent interest on investment
= `(5 xx 100)/(115)`
= `(100)/(23)`
= `4(8)/(23)`%.
APPEARS IN
संबंधित प्रश्न
A man has a choice to invest in hundred-rupee shares of two firms at Rs. 120 or at Rs. 132. The first firm pays a dividend of 5% per annum and the second firm pays a dividend of 6% per annum. Find:
- which company is giving a better return.
- if a man invests Rs. 26,400 with each firm, how much will be the difference between the annual returns from the two firms.
A man invests Rs. 20,020 in buying shares of nominal value Rs. 26 at 10% premium. The dividend on the shares is 15% per annum. Calculate:
- the number of shares he buys.
- the dividend he receives annually.
- the rate of interest he gets on his money.
A man invested Rs. 45,000 in 15% Rs. 100 shares quoted at Rs. 125. When the market value of these shares rose to Rs. 140, he sold some shares, just enough to raise Rs. 8,400. Calculate:
- the number of shares he still holds;
- the dividend due to him on these remaining shares.
Divide Rs. 50,760 into two parts such that if one part is invested in 8% Rs. 100 shares at 8% discount and the other in 9% Rs. 100 shares at 8% premium, the annual incomes from both the investments are equal.
Vivek invests Rs. 4,500 in 8% Rs. 10 shares at Rs. 15. He sells the shares when the price rises to Rs. 30 and invests the proceeds in 12% Rs. 100 shares at Rs. 125. Calculate:
- the sale proceeds
- the number of Rs. 125 shares he buys.
- the change in his annual income from the dividend.
A man invests a certain sum of money in 6% hundred-rupee shares at Rs. 12 premium. When the shares fell to Rs. 96, he sold out all the shares bought and invested the proceed in 10%, ten-rupee shares at Rs. 8. If the change in his income is Rs. 540, find the sum invested originally.
Find the dividend received on 60 shares of Rs, 20 each if 9% dividend is declared.
A man invests Rs. 8000 in a company paying 8% dividend when a share of face value of Rs. 100 is selling at Rs. 60 premium,
(i) What is his annual income,
(ii) What percent does he get on his money?
Mr. Gupta invested ₹ 33000 in buying ₹ 100 shares of a company at 10% premium. The dividend declared by the company is 12%.
Find:
- the number of shares purchased by him
- his annual dividend.
200 ₹ 20 shares, each available at a discount of 20%, give 10% dividend. The rate of return is ______.
