$A$ 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 $\%$).

What is a better investment,$4 \%$ stock at $Rs. 120$ or $3 \%$ stock at $Rs. 80$?

$A$ started a business. After $4$ months from the start of the business,$B$ and $C$ joined. The respective ratio between the investments of $A, B$,and $C$ was $4: 6: 5$. If $A$'s share in the annual profit was $Rs. 250$ more than $C$'s share,what was the total annual profit earned? (in $Rs.$)

$A$ company has issued $10000$ preferred shares and $50000$ common shares,both with a par value of $Rs. 100$ each. The dividend on a preferred share and a common share is $12 \%$ and $17.6 \%$,respectively. The company had a total profit of $Rs. 15$ Lakhs,out of which some amount was kept in a reserve fund and the remaining was distributed as a dividend. Find the amount (in Lakhs) kept in the reserve fund.

Find out the investment required to get an income of $Rs. 1938$ from $9 \frac{1}{2} \%$ stock at $90$ (Brokerage $1 \%$). (in $Rs.$)

$A$ man invests $Rs. 27600$ in $4 \%$ stock at $92$. He sold $Rs. 20000$ stock when the price rose to $Rs. 96$,and sold the remaining stock when the market value fell to $Rs. 90$. How much does he gain or loss in the transaction?