A shopkeeper sold an article offering a disco | vedclass

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(C) Let the cost price $(CP)$ of the article be $₹ 100.$Since the profit earned is $23.5 \%,$ the selling price $(SP)$ is $₹ 123.50.$Let the marked pr

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$30 \%$

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(C) Let the cost price $(CP)$ of the article be $₹ 100.$Since the profit earned is $23.5 \%,$ the selling price $(SP)$ is $₹ 123.50.$Let the marked price $(MP)$ of the article be $x.$Given that a discount of $5 \%$ is offered on the marked price,the selling price is $95 \%$ of $x.$So,$0.95x = 123.50.$$x = \frac{123.50}{0.95} = 130.$Thus,the marked price is $₹ 130.$If no discount is offered,the selling price would be equal to the marked price,i.e.,$SP = ₹ 130.$Profit percentage $= \frac{SP - CP}{CP} 	imes 100 = \frac{130 - 100}{100} 	imes 100 = 30 \%.$

$A$ shopkeeper sold an article offering a discount of $5 \%$ and earned a profit of $23.5 \% .$ What would have been the percentage of profit earned if no discount was offered?

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