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Mathematics

A man buys ₹40 shares of a company which pays 10% dividend. He buys the shares at such a price that his profit is 16% on his investment. At what price did he buy each share?

Shares & Dividends

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Answer

Let the market value of 1 share be ₹x

Dividend on 1 share of ₹40 = 10% of ₹40 = ₹4

%Return=(Annual Inc.Investment×100)%\% \text{Return} = \Big(\dfrac{\text{Annual Inc.}}{\text{Investment}} \times 100\Big)\% \\[0.5em]

As per the given,

16=4x×100x=4×10016x=2516 = \dfrac{4}{x} \times 100 \\[0.5em] x = \dfrac{4 \times 100}{16} \\[0.5em] x = 25

∴ The man bought each share at ₹25

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