$A$ 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 $\%$)

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 $Rs.$)

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

$A$ 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.

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 $Rs.$)

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