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 $Rs.$)

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 $Rs.$):

$A$ man invested $Rs. 50490$ in $5\%$ stock at $99$ and sold it when the price rose to $Rs. 102$. He invested the sale proceeds in $8\%$ stock at $96$. Find out the change in the man's income (Brokerage: $Rs. 3$).

$A$ man bought $20$ shares of $Rs. 50$ at $5$ discount,the rate of discount being $4 \frac{3}{4} \%$. The rate of interest obtained is (in $\%$):

Sonu invested $10 \%$ more than Mona. Mona invested $10 \%$ less than Raghu. If the total sum of their investment is $Rs. 5780$,how much amount did Raghu invest? (in $Rs.$)

$A$ man invested $Rs. 260000$ in $5\%$ stock at $104$. He sold the stock when the price rose to $Rs. 125$ and invested the sale proceeds in $6\%$ stock. By doing this,his income increased by $Rs. 2500$. At what price did he purchase the second stock? (in $Rs.$)