If a shopkeeper sells 25 articles at Rs. 45 p | vedclass

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(D) Let the Marked Price $(MP)$ of one article be $Rs. 100$.After giving a $10 \%$ discount,the Selling Price $(SP)$ becomes $Rs. 90$.Since the shopke

Vedclass · Accepted Answer

$66.67$

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(D) Let the Marked Price $(MP)$ of one article be $Rs. 100$.After giving a $10 \%$ discount,the Selling Price $(SP)$ becomes $Rs. 90$.Since the shopkeeper earns a $50 \%$ profit,we use the formula $SP = CP 	imes (1 + 	ext{Profit} \%)$.$90 = CP 	imes 1.50 \Rightarrow CP = \frac{90}{1.50} = Rs. 60$.If no discount is given,the Selling Price $(SP_{new})$ will be equal to the Marked Price $(MP)$,which is $Rs. 100$.The new profit is $SP_{new} - CP = 100 - 60 = Rs. 40$.The profit percentage is $\frac{	ext{Profit}}{CP} 	imes 100 = \frac{40}{60} 	imes 100 = \frac{2}{3} 	imes 100 = 66.67 \%$.

If a shopkeeper sells $25$ articles at $Rs. 45$ per article after giving $10 \%$ discount and earns $50 \%$ profit. If the discount is not given,what is the profit percentage gained?

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