The percentage profit earned by selling an ar | vedclass

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Question

(A) Let $x$ be the cost price $(C.P.)$ of the article in $Rs.$According to the problem,the percentage profit at $Rs. 1920$ equals the percentage loss

Vedclass · Accepted Answer

$2000$

Vedclass · Answer

(A) Let $x$ be the cost price $(C.P.)$ of the article in $Rs.$According to the problem,the percentage profit at $Rs. 1920$ equals the percentage loss at $Rs. 1280$.Profit percentage = $\frac{1920 - x}{x} 	imes 100$Loss percentage = $\frac{x - 1280}{x} 	imes 100$Equating the two: $\frac{1920 - x}{x} = \frac{x - 1280}{x}$Since the denominators are the same,$1920 - x = x - 1280$.$2x = 1920 + 1280 = 3200$$x = 1600$The cost price of the article is $Rs. 1600$.To earn a $25 \%$ profit,the selling price $(S.P.)$ should be:$S.P. = C.P. 	imes (1 + \frac{25}{100}) = 1600 	imes 1.25 = Rs. 2000$.

The percentage profit earned by selling an article for $Rs. 1920$ is equal to the percentage loss incurred by selling the same article for $Rs. 1280$. At what price should the article be sold to make $25 \%$ profit? (in $Rs.$)

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