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 $x$.

Answer 1

Given company give $x$ dividend on its share Rs 60 .

Then amount revived by dividend $=\frac{x\times 60}{100}=\frac{3x}{5}$

But return on investment in shares is $(x+3)$. If maket value of each share Rs 50.

Then Return $=\frac{(x+3)\times 50}{100}=\frac{x+3}{2}$

So $\frac{x+3}{2}=\frac{3x}{5}$

$\Rightarrow 5(x+3)=6x$

$\Rightarrow 5x+15=6x$

$\Rightarrow 6x+5x=15\Rightarrow x=15$