A shopkeeper sells an article at a gain of 10 | vedclass

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Question

(B) Let the cost price $(C.P.)$ of the article be $x$.Case $1$: The article is sold at a gain of $10 \%$.$S.P._1 = C.P. + 10 \% 	ext{ of } C.P. = 1.1

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(B) Let the cost price $(C.P.)$ of the article be $x$.Case $1$: The article is sold at a gain of $10 \%$.$S.P._1 = C.P. + 10 \% 	ext{ of } C.P. = 1.10x$.Case $2$: The article is sold at a loss of $20 \%$.$S.P._2 = C.P. - 20 \% 	ext{ of } C.P. = 0.80x$.According to the problem,the difference between the two selling prices is $Rs. 180$:$S.P._1 - S.P._2 = 180$$1.10x - 0.80x = 180$$0.30x = 180$$x = \frac{180}{0.30} = 600$.Therefore,the cost price of the article is $Rs. 600$.

$A$ shopkeeper sells an article at a gain of $10 \%$. Had he sold it at a loss of $20 \%$,its selling price would have been $Rs. 180$ less. What is the cost price of the article? (in $Rs.$)

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