The percentage profit earned by selling an ar | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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 $Rs.$)

Similar Questions

$A$ man sells an article at $5 \%$ above its cost price. If he had bought it at $5 \%$ less than what he had paid for it and sold it at $Rs. 2$ less,he would have gained $10 \%$. The cost price of the article is (in $Rs.$)

$A$ discount of $40 \%$ on the marked price of a trouser enables Ajit to purchase a shirt also which costs him $₹ 320$. How much did Ajit pay for the trouser? (in $₹$)

Aditya purchased $14$ shirts and $25$ pants at $Rs. 45$ and $Rs. 55$ respectively. What should be the approximate overall average selling price of a shirt and a pant so that a $40\%$ profit is earned?

$20 \%$ loss on selling price is what per cent loss on the cost price? (in $\%$)

The ratio between the selling price and the cost price of an article is $7:5$. What is the ratio between the profit and the cost price of that article?

Vedclass Test Series

Exam Paper Generator

Online Exam Module