A shopkeeper sold an article offering a disco | vedclass

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Question

(B) Let the Cost Price $(CP)$ be $Rs. 100$.Since the profit earned is $23.5 \%$,the Selling Price $(SP)$ is $Rs. 123.50$.Let the Marked Price $(MP)$ b

Vedclass · Accepted Answer

$62.50$

Vedclass · Answer

(B) Let the Cost Price $(CP)$ be $Rs. 100$.Since the profit earned is $23.5 \%$,the Selling Price $(SP)$ is $Rs. 123.50$.Let the Marked Price $(MP)$ be $x$.Given that a discount of $24 \%$ is offered on the $MP$,the $SP$ is $76 \%$ of $MP$.So,$0.76 	imes x = 123.50$.$x = \frac{123.50}{0.76} = 162.50$.If no discount is offered,the article would be sold at the Marked Price $(MP = Rs. 162.50)$.Profit = $MP - CP = 162.50 - 100 = 62.50$.Profit percentage = $\frac{62.50}{100} 	imes 100 = 62.50 \%$.

$A$ 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?

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