$A$ company issued $50000$ shares of par value $Rs. 100$ each. If the total dividend declared by the company is $Rs. 125000$,out of which $Rs. 50000$ have been kept in reserve fund and the remaining is distributed as dividend,find out the rate of dividend paid by the company (in $\%$).

What investment will be required to purchase $Rs.\, 90000$ of $8 \%$ stock at $110$?

$A$ man sells $5000$ common shares of Company $X$ (each of par value $Rs. 10$), which pays a dividend of $20\%$, at $Rs. 30$ per share. He invests the sale proceeds in ordinary shares of Company $Y$ (each of par value $Rs. 25$) that pays a dividend of $15\%$. If the market value of a share of Company $Y$ is $Rs. 40$, find out the number of shares of Company $Y$ purchased by the man.

$A$ man bought $20$ shares of $Rs. 100$ at $4$ discount,the rate of dividend being $12 \%$. The rate of interest obtained is (in $\%$):

Mac buys $200$ shares of par value $Rs. 10$ each,of a company,which pays an annual dividend of $8 \%$ at such a price that he gets $10 \%$ on his investment. Find the market value of one share (in $Rs.$).

$A$ man invested $Rs. 14,400$ in $Rs. 100$ shares of a company at $20\%$ premium. If the company declares $5\%$ dividend at the end of the year,then how much does he get? (in $Rs.$)