$A$ shopkeeper sold an article offering a discount of $24 \%$ and earned a profit of $23.5 \%$. What would have been the percentage of profit earned if no discount had been offered?

$A$ man sold his two horses for $Rs. 770$ each. On one he gained $10\%$ and on the other he lost $10\%$. The average gain or loss percentage is:

$A$ man bought nine pens for a rupee. How many pens should he sell for a rupee to gain $50 \%$?

$A$ trader sells his table at a profit of $15 \%$ and the chair at a loss of $7 \frac{1}{2} \%,$ but on the whole he gains $Rs. 50.$ If he sells the table at a loss of $7 \frac{1}{2} \%,$ and the chair at a profit of $15 \%,$ then he neither gains nor loses. Find the cost price of the table.

$A$ and $B$ started a business by investing $Rs. 3,50,000$ and $Rs. 1,40,000$ respectively. $A$ gets $20\%$ of the yearly profit for managing the business. Thereafter,the profit is divided in the ratio of the capital. If $A$ receives totally $Rs. 38,000$ more than $B$ at the end of a year,then the total profit is (in $Rs.$)

$A$ shopkeeper purchased $70$ $kg$ of potatoes for $Rs. 420$ and sold the whole lot at the rate of $Rs. 6.5$ per $kg$. What will be his gain percent?