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A Company Gives X% Dividend on Its Rs. 60 Shares, Whereas the Return on the Investment in These Shares is (X + 3) %. If the Market Value of Each Share is Rs. 50, Find the Value of X. - Mathematics

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Question

A company gives x% dividend on its Rs. 60 shares, whereas the return on the investment in these shares is (x + 3) %. If the market value of each share is Rs. 50, find the value of x.

Solution

Nominal value of 1 share = Rs. 60
Market value of 1 share = Rs. 50

Dividend% = x%
Return% = (x+3)%
According to question
x% of Rs. 60 = (x+3)% of Rs. 50

⇒ x/100 ×Rs. 60 = (x+3)/100 ×Rs. 50
⇒ 60x = 50x + 150
⇒ 10x = 150
⇒ x = 150/10 = 15.

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