Find out the annual dividend received by Sunil for his $200$ preferred shares and $1000$ common shares,both of par value $Rs. 100$ each,if the dividend declared on a preferred share is $10 \%$ per annum and an annual dividend of $12 \frac{1}{2} \%$ on the common shares. (in $Rs.$)

$A$ man bought $20$ shares of $Rs. 50$ at $5$ discount,the rate of discount being $4 \frac{3}{4} \%$. The rate of interest obtained is (in $\%$):

$A$ 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.

The cost price of a $Rs. 100$ stock at $4$ discount,when brokerage is $\frac{1}{4}\%$ is (in $Rs.$)

Find out the investment required to get an income of $Rs. 1938$ from $9 \frac{1}{2} \%$ stock at $90$ (Brokerage $1 \%$). (in $Rs.$)

$A$ medicine company issued $125000$ shares of par value $Rs. 20$ each. If the total dividend declared by the company is $Rs. 375000$,find out the rate of dividend paid by the company (in $\%$).