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

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 the income by investing $Rs. 81000$ in $9 \%$ stock at $135$. (in $Rs.$)

$A$ company declared an annual dividend of $10 \%$. Find out the annual dividend received by Anu owning $4000$ shares of the company having a par value of $Rs. 100$ each. (in $Rs.$)

$A$ 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 $\%$)

$A$ 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 $Rs.$)