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 $Rs.$).

The cost price of a $Rs. 100$ stock at $4$ discount,when brokerage is $\frac{1}{4}\%$ is (in $Rs.$)

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 $Rs.$).

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 $\%$).

Find the income on $12\%$ stock of $Rs.\, 60000$ purchased at $Rs.\, 110$. (in $Rs.$)

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 $Rs.$)