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 $Rs.$)

$A$ 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?

Seema had $50$ preferred shares and $400$ common shares of par value $Rs. 100$ each. If the dividend declared on preferred shares is $10\%$ per annum and a semiannual dividend of $7.5\%$ is on common shares,find the annual dividend received by Seema (in $Rs.$).

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

Meena bought $Rs. 36000$ of $7\frac{1}{2} \%$ stock at $92$ and sold it when its price rose to $Rs. 93 \frac{3}{4}$. Find out her gain percent.