A shopkeeper gains 17 % after allowing a disc | vedclass

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(B) Let the cost price $(C.P.)$ be $₹ 100$.Since the shopkeeper gains $17 \%$,the selling price $(S.P.)$ is $₹ 117$.Let the marked price be $M.P.$. Gi

Vedclass · Accepted Answer

$30$

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(B) Let the cost price $(C.P.)$ be $₹ 100$.Since the shopkeeper gains $17 \%$,the selling price $(S.P.)$ is $₹ 117$.Let the marked price be $M.P.$. Given that a discount of $10 \%$ is allowed on the $M.P.$,we have:$S.P. = M.P. 	imes (1 - \frac{10}{100}) = M.P. 	imes 0.9$$117 = M.P. 	imes 0.9$$M.P. = \frac{117}{0.9} = ₹ 130$.If the article is sold at the marked price with no discount,the new selling price is $₹ 130$.The profit is $S.P. - C.P. = 130 - 100 = ₹ 30$.Profit percentage $= (\frac{	ext{Profit}}{C.P.}) 	imes 100 = (\frac{30}{100}) 	imes 100 = 30 \%$.

$A$ shopkeeper gains $17 \%$ after allowing a discount of $10 \%$ on the marked price of an article. Find his profit percent if the article is sold at the marked price allowing no discount. (in $\%$)

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