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A man invests Rs. 20,020 in buying shares of nominal value Rs. 26 at 10% premium. The dividend on the shares is 15% per annum. Calculate: the number of shares he buys - Mathematics

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Question

A man invests Rs. 20,020 in buying shares of nominal value Rs. 26 at 10% premium. The dividend on the shares is 15% per annum. Calculate:

  1. the number of shares he buys.
  2. the dividend he receives annually.
  3. the rate of interest he gets on his money.
Sum

Solution

Total investment = Rs. 20,020

Nominal value of 1 share = Rs. 26

Market value of 1 share = Rs. 26 + 10% of Rs. 26

= Rs. 26 + Rs. 2.60

= Rs. 28.60

∴ No of shares purchased = `(20020)/28.60` = 700 shares

Nominal value of 700 shares = Rs. 26 × 700 = Rs. 18,200

Dividend% = 15%

Dividend = 15% of Rs. 18,200

= `15/100 xx 18200`

= Rs. 2,730

∴ Income%  = `"Income"/"Investment" xx 100%`

= `2730/20020 xx 100%`

= `150/11%`

= `13 7/11%`

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Chapter 3: Shares and Dividend - Exercise 3 (B) [Page 37]

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Selina Mathematics [English] Class 10 ICSE
Chapter 3 Shares and Dividend
Exercise 3 (B) | Q 20 | Page 37

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