$A$ 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 $\%$):

$A$ medicine company issued $125000$ shares of par value $Rs. 20$ each. If the total dividend declared by the company is $Rs. 375000$,find out the rate of dividend paid by the company (in $\%$).

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 $Rs.$).

Find out the income percent on $10 \%$ debentures of par value $Rs.\, 120$ available in the market for $Rs.\, 150$. (in $\%$)

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 $Rs.$):

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 $Rs.$)