$A$ 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 $\%$):

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 $Rs.$)

$A$ company declared a semi-annual dividend of $7 \frac{1}{2} \%$. Find out the annual dividend of Chetan,who owns $1250$ shares of the company,each having a par value of $Rs. 10$. (in $Rs.$)

Find the income obtained by investing $Rs. 90000$ in $7 \frac{1}{2} \%$ stock at $112 \frac{1}{2}$ (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?

Mrudul invested an amount of $Rs. 29500$ in order to start a business. Shalaka joined her $4$ months later by investing an amount of $Rs. 33500$. If the business earned a profit of $Rs. 120575$ at the end of two years,what was Mrudul's share of the profit? (in $Rs.$)