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# How Much Should a Man Invest in Rs. 100 Shares Selling at Rs. 85 to Obtain an Annual Income of Rs. 1,800; If the Dividend Declared is 12%? Also, Find the Percentage Return on this Investment. - Mathematics

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#### Question

How much should a man invest in Rs. 100 shares selling at Rs. 85 to obtain an annual income of Rs. 1,800; if the dividend declared is 12%? Also, find the percentage return on this investment.

#### Solution

i)  Nominal value of 1 share = Rs. 100
Market value of 1 share = Rs. 85 Let no. of shares purchased = n
Nominal value of n shares = Rs. (100n)
∴ 12% of Rs(100n) = Rs. 1,800

⇒ 12 /100× 100n = Rs. 1,800

⇒ n = (1,800 ×100) /(12 ×100)= 150 shares
Market value of 150 shares = Rs. 85 × 150 = Rs. 12,750
(ii) Income % = ("Income")/("Investment")×100%

= (1,800)/( 12,750)×100%

= 14.12%.

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