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Mathematics

A man invests ₹ 8,800 in buying shares of a company of face value of rupees hundred each at a premium of 10 %. If he earns ₹ 1,200 at the end of the year as dividend, find :

(i) the number of shares he has in the company.

(ii) the dividend percent per share.

Shares & Dividends

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Answer

(i) F.V. = ₹ 100

Premium = 10 % = 10100×100\dfrac{10}{100} \times 100 = ₹ 10.

Market value = ₹ 100 + ₹ 10 = ₹ 110.

Investment = ₹ 8,800

No. of shares = 8800110\dfrac{8800}{110} = 80.

Hence, the no. of shares = 80.

(ii) Annual income = No. of shares × Rate of div. × N.V. of 1 share

Let dividend percent = x%,

1200 = 80×x100×10080 × \dfrac{x}{100} \times 100

1200 = 80x

x = 120080=15\dfrac{1200}{80} = 15%.

Hence, dividend percent per share = 15%.

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