Find out the income percent of a buyer on $5 \%$ debentures of face value $Rs.\, 100$ and available in the market for $Rs.\, 125$. (in $\%$) (in $.8$)

$A$ 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 $Rs.$?

Sonu invested $10 \%$ more than Mona. Mona invested $10 \%$ less than Raghu. If the total sum of their investment is $Rs. 5780$,how much amount did Raghu invest? (in $Rs.$)

Mrudul invested an amount of $Rs. 29500$ in order to start a business. Shalaka joined her $4$ months later by investing an amount of $Rs. 33500$. If the business earned a profit of $Rs. 120575$ at the end of two years,what was Mrudul's share of the profit? (in $Rs.$)

$A$ person invests $Rs.\, 28500$ in $5\%$ stock at $95$. He sold $Rs.\, 15000$ stock when the price rose to $Rs.\, 98$ and sold the remaining stock when the market value of the stock fell to $Rs.\, 90$. How much does he gain or lose in the transaction?

$A$ man invested $Rs. 50490$ in $5\%$ stock at $99$ and sold it when the price rose to $Rs. 102$. He invested the sale proceeds in $8\%$ stock at $96$. Find out the change in the man's income (Brokerage: $Rs. 3$).