$A$ 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 $Rs.$?

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 $Rs.$)

$A$ 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.

Find the income on $12\%$ stock of $Rs.\, 60000$ purchased at $Rs.\, 110$. (in $Rs.$)

Find the investment required to purchase $Rs.\, 125000$ of $8 \%$ stock at $92$. (in $Rs.$)

Find the annual dividend received by Nishita from $1200$ preferred shares and $3000$ common shares,both of par value $Rs. 50$ each,if the dividend paid on preferred shares is $10 \%$ and a semi-annual dividend of $3 \frac{1}{2} \%$ is declared on common shares. (in $Rs.$)