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

$A$ 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 $Rs.$?

$A$ 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?

Sushma invested $Rs.\, 245000$ in $7\%$ stock at $98$ and sold the stock when its price rose to $Rs.\, 100$. She invested the sale proceeds in $9\%$ stock at $125$. Find out the change in income of Sushma. (in $Rs.$)

$A$ 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 $\%$).

$12500$ shares, of par value $Rs.\, 20$ each, are purchased from Ram by Mohan at a price of $Rs.\, 25$ each. Find out the amount required to purchase the shares. If Mohan further sells the shares at a premium of $Rs.\, 11$ each, then find out his gain in the transaction. (in $Rs.$)