$A$ company issued $50000$ shares of par value $Rs. 10$ each. If the total dividend declared by the company is $Rs. 62500$,then find out the rate of dividend paid by the company. (in $\%$)

$A$ 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.

How many shares of market value $Rs. 25$ each can be purchased for $Rs. 12750$,given that the brokerage is $2\%$?

In a business partnership among $A, B, C$ and $D,$ the profit is shared as follows: $\frac{A's \text{ share}}{B's \text{ share}} = \frac{B's \text{ share}}{C's \text{ share}} = \frac{C's \text{ share}}{D's \text{ share}} = \frac{1}{3}.$ If the total profit is $Rs. 4,00,000,$ the share of $C$ is (in $Rs.$):

$A$ man invested $Rs. 260000$ in $5\%$ stock at $104$. He sold the stock when the price rose to $Rs. 125$ and invested the sale proceeds in $6\%$ stock. By doing this,his income increased by $Rs. 2500$. At what price did he purchase the second stock? (in $Rs.$)

Find out the income percent on $10 \%$ debentures of par value $Rs.\, 120$ available in the market for $Rs.\, 150$. (in $\%$)