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

Find the income obtained by investing $Rs. 90000$ in $7 \frac{1}{2} \%$ stock at $112 \frac{1}{2}$ (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 $Rs.$).

$A$ man bought $Rs. 20000$ of $5\%$ stock at $90$ and sold it when its price rose to $Rs. 93 \frac{3}{4}$. Find out his gain percent.

Find out the income percent on $10 \%$ debentures of par value $Rs.\, 120$ available in the market for $Rs.\, 150$. (in $\%$)