$A$ 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 $Rs.$)

Anu invested $Rs.\, 32400$ in $8 \%$ stock at $90$. She sold $Rs.\, 18000$ stock when the price rose to $Rs.\, 95$ and the remaining stock at $Rs.\, 98$. She invested the total sale proceeds in $10 \%$ stock at $96 \frac{1}{2}$. Find the change in income of Anu (in $Rs.$).

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

$A$ 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 $Rs.$)

Find the income on $7 \frac{1}{2} \%$ stock of $Rs.\, 20000$ purchased at $Rs.\, 120$. (in $Rs.$)