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 $Rs.$).

$A$ certain sum is divided among $A, B$ and $C$ in such a way that $A$ gets $Rs. 40$ more than $\frac{1}{2}$ of the sum. $B$ gets $Rs. 120$ less than $\frac{3}{8}$ of the sum,and $C$ gets $Rs. 200$. What is the total sum in $Rs.$?

Find out the investment required to get an income of $Rs. 1938$ from $9 \frac{1}{2} \%$ stock at $90$ (Brokerage $1 \%$). (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 $\%$).

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 declared a semi-annual dividend of $7 \frac{1}{2} \%$. Find out the annual dividend of Chetan,who owns $1250$ shares of the company,each having a par value of $Rs. 10$. (in $Rs.$)