A shopkeeper sold an article for Rs. 400 afte | vedclass

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(D) Let the cost price be $CP$ and the marked price be $MP$.Given that the shopkeeper makes a $30\%$ profit on $CP$,the selling price $SP = 1.30 	ime

Vedclass · Accepted Answer

$62.5$

Vedclass · Answer

(D) Let the cost price be $CP$ and the marked price be $MP$.Given that the shopkeeper makes a $30\%$ profit on $CP$,the selling price $SP = 1.30 	imes CP$.Also,the shopkeeper gives a $20\%$ discount on $MP$,so $SP = 0.80 	imes MP$.Equating the two expressions for $SP$: $0.80 	imes MP = 1.30 	imes CP$,which gives $MP = \frac{1.30}{0.80} 	imes CP = 1.625 	imes CP$.If no discount is given,the selling price would be equal to the marked price,i.e.,$SP_{new} = MP = 1.625 	imes CP$.The profit percentage would then be $\frac{SP_{new} - CP}{CP} 	imes 100 = \frac{1.625 	imes CP - CP}{CP} 	imes 100 = 0.625 	imes 100 = 62.5\%$.

$A$ shopkeeper sold an article for $Rs. 400$ after giving a $20\%$ discount on the labelled price and made a $30\%$ profit on the cost price. What would have been the percentage profit,had he not given the discount (in $\%$)?

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