An article is sold at a certain fixed price. By selling it at $\frac{2}{3}$ of that price,one loses $10 \%$. The gain percent on selling it at the original price is

$A$ trader marks his goods $40 \%$ above the cost price and allows a discount of $25 \%$. The profit he makes,is in $\%$:

$A$ 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 $Rs$)

An article is sold for $Rs. 4950$ at a gain of $10 \%$. What would have been the gain or loss per cent if it had been sold for $Rs. 4275$?

$A, B, C$ 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 $Rs.$)

$A$ trader buys $500 \, kg$ of cotton for $Rs. 9,000$. $10 \%$ of this cotton is spoiled due to rain. At what rate $(Rs./ kg)$ should he sell the rest to earn $10 \%$ profit?