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

The capital of a company is made up of $50000$ preferred shares with a dividend of $20 \%$ and $20000$ common shares,the par value of each type of share being $Rs. 10$. The company had a total profit of $Rs. 180000$,out of which $Rs. 30000$ were kept in a reserve fund and the remaining was distributed to shareholders. Find the dividend percentage for the common shareholders (in $\%$).

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 $Rs.$)

$Rs. 555$ was to be divided among $A, B$ and $C$ in the ratio of $\frac{1}{4}: \frac{1}{5}: \frac{1}{6}$. But by mistake,it was divided in the ratio of $4: 5: 6$. The amount in excess received by $C$ was (in $Rs.$)

$A$ person invests $Rs.\, 28500$ in $5\%$ stock at $95$. He sold $Rs.\, 15000$ stock when the price rose to $Rs.\, 98$ and sold the remaining stock when the market value of the stock fell to $Rs.\, 90$. How much does he gain or lose in the transaction?

$A$ company issued $50000$ shares of par value $Rs. 100$ each. If the total dividend declared by the company is $Rs. 125000$,out of which $Rs. 50000$ have been kept in reserve fund and the remaining is distributed as dividend,find out the rate of dividend paid by the company (in $\%$).