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A man buys 75, Rs. 100 shares of a company which pays 9 per cent dividend. He buys shares at such a price that he gets 12 per cent of his money. At what price did he buy the shares? - Mathematics

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Question

A man buys 75, Rs. 100 shares of a company which pays 9 per cent dividend. He buys shares at such a price that he gets 12 per cent of his money. At what price did he buy the shares?

Sum

Solution

Nominal value of 1 share = Rs. 100

Nominal value of 75 shares = 100 × 75 = Rs. 7500

Dividend% = 9%

∴ Dividend = 9% of Rs. 7500

= 9100×7500

= Rs. 675

Let market price of 1 share = Rs. y

Then market price of 75 shares = Rs. 75y

Profit% on investment  = 12%

12% of 75y  = Rs. 675

= 12100×75y

= Rs. 675

y = Rs. 75

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Chapter 3: Shares and Dividend - Exercise 3 (B) [Page 36]

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Selina Mathematics [English] Class 10 ICSE
Chapter 3 Shares and Dividend
Exercise 3 (B) | Q 1 | Page 36

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