Find the income obtained by investing $Rs. 90000$ in $7 \frac{1}{2} \%$ stock at $112 \frac{1}{2}$ (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 $Rs.$)

Mac buys $200$ shares of par value $Rs. 10$ each,of a company,which pays an annual dividend of $8 \%$ at such a price that he gets $10 \%$ on his investment. Find the market value of one share (in $Rs.$).

$A$ medicine company issued $125000$ shares of par value $Rs. 20$ each. If the total dividend declared by the company is $Rs. 375000$,find out the rate of dividend paid by the company (in $\%$).

$A$ 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 the annual dividend received by Nishita from $1200$ preferred shares and $3000$ common shares,both of par value $Rs. 50$ each,if the dividend paid on preferred shares is $10 \%$ and a semi-annual dividend of $3 \frac{1}{2} \%$ is declared on common shares. (in $Rs.$)