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A man buys 400, twenty-rupee shares at a discount of 20% and receives a return of 12% on his money. Calculate: the amount invested by him. the rate of dividend paid by the company. - Mathematics

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Question

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

  1. the amount invested by him.
  2. the rate of dividend paid by the company.
Sum

Solution

Nominal value of 1 share = Rs. 20

Market value of 1 share = Rs. 20 – 20% of Rs. 20

= Rs. 20 – Rs. 4

= Rs. 16

No. of shares purchased = 400

Nominal value of 400 shares = 400 × 20 = Rs. 8,000

i. Market value of 400 shares = 400 × 16 = Rs. 6,400

ii. Return% = 12%

Income = 12% of Rs. 6,400

= `12/100 xx Rs. 6400`

= Rs. 768

Dividend% = `"Income"/"Nominal value" xx 100%`

= `768/8000 xx 100%`

= 9.6%

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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 9 | Page 36

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