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

Find out the annual dividend received by Sunil for his $200$ preferred shares and $1000$ common shares,both of par value $Rs. 100$ each,if the dividend declared on a preferred share is $10 \%$ per annum and an annual dividend of $12 \frac{1}{2} \%$ on the common shares. (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 $Rs.$)

Seema had $50$ preferred shares and $400$ common shares of par value $Rs. 100$ each. If the dividend declared on preferred shares is $10\%$ per annum and a semiannual dividend of $7.5\%$ is on common shares,find the annual dividend received by Seema (in $Rs.$).

Find the income on $7 \frac{1}{2} \%$ stock of $Rs.\, 20000$ purchased at $Rs.\, 120$. (in $Rs.$)

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