While selling a watch,a shopkeeper gives a di | vedclass

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(D) Let the original price (marked price) of the watch be $Rs. x$.In the first case,the discount is $15 \%$,so the selling price is $x 	imes (1 - 0.1

Vedclass · Accepted Answer

$1020$

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(D) Let the original price (marked price) of the watch be $Rs. x$.In the first case,the discount is $15 \%$,so the selling price is $x 	imes (1 - 0.15) = 0.85x$.In the second case,the discount is $20 \%$,so the selling price is $x 	imes (1 - 0.20) = 0.80x$.The difference in the selling price is given as $Rs. 51$,which represents the reduction in profit.Therefore,$0.85x - 0.80x = 51$.$0.05x = 51$.$x = \frac{51}{0.05} = \frac{5100}{5} = 1020$.Thus,the original price of the watch is $Rs. 1020$.

While selling a watch,a shopkeeper gives a discount of $15 \%$. If he gives a discount of $20 \%$,he earns $Rs. 51$ less as profit. What is the original price of the watch? (in $Rs$)

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