$A$ man bought $20$ shares of $Rs. 100$ at $4$ discount,the rate of dividend being $12 \%$. The rate of interest obtained is (in $\%$):

$Rs. 555$ 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 $Rs.$)

$A$ man invests $Rs. 27600$ in $4 \%$ stock at $92$. He sold $Rs. 20000$ stock when the price rose to $Rs. 96$,and sold the remaining stock when the market value fell to $Rs. 90$. How much does he gain or loss in the transaction?

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 $Rs.$)

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 $Rs.$)

$A$ 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: $Rs. 3$).