What investment will be required to purchase $Rs.\, 90000$ of $8 \%$ stock at $110$?

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

$A$ 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 $Rs.$)

$A$ 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 $Rs.$)

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 $Rs.$):

$A$ 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.