Raja invested $Rs. 99000$ in $7 \frac{1}{2} \%$ stocks at $81 \frac{1}{2}$ (Brokerage: $Rs. 1$). Find out Raja's annual income from his investment. (in $Rs.$)

Brij has $800$ shares of par value $Rs. 50$ each and $600$ debentures of par value $Rs. 100$ each of the company. The company pays an annual dividend of $6 \%$ on the shares and interest of $12 \%$ on the debentures. Find out the total annual income of Brij (in $Rs.$) and the rate of return on his investment (in $\%$).

Find the income on $12\%$ stock of $Rs.\, 60000$ purchased at $Rs.\, 110$. (in $Rs.$)

$A$ and $B$ started a business by investing $Rs. 18,000$ and $Rs. 24,000$ respectively. At the end of the $4^{\text{th}}$ month from the start of the business,$C$ joins with $Rs. 15,000$. At the end of the $8^{\text{th}}$ month,$B$ quits,at which time $C$ invests $Rs. 3,000$ more. At the end of the $10^{\text{th}}$ month,$B$ rejoins with the same investment. If the profit at the end of the year is $Rs. 12,005$,what is $B$'s share of profit? (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 $Rs.$)

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