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 $Rs.$):

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

Find out the income percent of a buyer on $5 \%$ debentures of face value $Rs.\, 100$ and available in the market for $Rs.\, 125$. (in $\%$) (in $.8$)

Mr. Lal invested $Rs. 92000$ in $9\frac{1}{2}\%$ stock at $91$ (Brokerage: $Rs. 1$). Find out the annual income of Mr. Lal from this investment (in $Rs.$).

The shares of a company of par value $Rs. 10$ each,are available at $20\%$ premium. Find out the amount paid by the buyer who wants to buy $2500$ shares. What would be the gain of the buyer if he sells those shares at the rate of $Rs. 20$ per share? (in $Rs.$)

$A$ man sells $5000$ common shares of Company $X$ (each of par value $Rs. 10$), which pays a dividend of $20\%$, at $Rs. 30$ per share. He invests the sale proceeds in ordinary shares of Company $Y$ (each of par value $Rs. 25$) that pays a dividend of $15\%$. If the market value of a share of Company $Y$ is $Rs. 40$, find out the number of shares of Company $Y$ purchased by the man.