The cost price of $6$ pens is equal to the selling price of $4$ pens. Find the profit percent. (in $\%$)

$A, B, C$ are partners in a business. During a particular $year$,$A$ received one-third of the profit,$B$ received $\frac{1}{4}$ of the profit,and $C$ received the remaining $Rs. 5000$. How much amount of money did $A$ receive? (in $Rs.$)

Profit obtained on selling an article for $Rs. 310$ is equal to the loss incurred on selling that article for $Rs. 230$. What will be the loss percentage when selling price is $Rs. 180$?

$A$ shopkeeper expects a gain of $22 \frac{1}{2} \%$ on his cost price. If in a week,his sale was of $Rs. \,392$,what was his profit? (in $Rs$)

$A$ fan is listed at $Rs. 1500$ and a discount of $20 \%$ is offered on the list price. What additional discount must be offered to the customer to bring the net price to $Rs. 1104$? (in $\%$)

$A$ 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?