$A$ 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 $\%$):

Find the income by investing $Rs. 81000$ in $9 \%$ stock at $135$. (in $Rs.$)

Ram invested $Rs.\, 88008$ in $9 \frac{1}{2} \%$ stock at $112$ (Brokerage: $Rs.\, 2$). Find out the annual income of Ram from this investment (in $Rs.$).

The shares of a company of par value $Rs. 10$ each,are available at $20\%$ premium. Find out the amount paid by the buyer who wants to buy $2500$ shares. What would be the gain of the buyer if he sells those shares at the rate of $Rs. 20$ per share? (in $Rs.$)

Mr. Lal invested $Rs. 92000$ in $9\frac{1}{2}\%$ stock at $91$ (Brokerage: $Rs. 1$). Find out the annual income of Mr. Lal from this investment (in $Rs.$).

$A$ certain sum is divided among $A, B$ and $C$ in such a way that $A$ gets $Rs. 40$ more than $\frac{1}{2}$ of the sum. $B$ gets $Rs. 120$ less than $\frac{3}{8}$ of the sum,and $C$ gets $Rs. 200$. What is the total sum in $Rs.$?