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Mathematics

A man buys 400, twenty-rupee shares at a discount of 20% and receives a return of 12% on his money. Calculate :

(i) the amount invested by him

(ii) the rate of dividend paid by the company.

Shares & Dividends

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Answer

(i) Market value = ₹ 20 - ₹ 20100×20\dfrac{20}{100} \times 20 = ₹ 20 - ₹ 4 = ₹ 16.

Amount invested = 400 × ₹ 16 = ₹ 6,400

Hence, amount invested = ₹ 6,400.

(ii) Let rate of dividend be x%.

Rate of dividend × N.V. = Profit (return) % × M.V.

x100×20=12100×16x=12×1620x=485=9.6%\Rightarrow \dfrac{x}{100} \times 20 = \dfrac{12}{100} \times 16 \\[1em] \Rightarrow x = \dfrac{12 \times 16}{20} \\[1em] \Rightarrow x = \dfrac{48}{5} = 9.6\%

Hence, rate of dividend = 9.6%.

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