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?

Q: 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?

Let C.P. be Rs. x. Then,= > 1920 - x x * 100 = x - 1280 x * 100 => 1920 - x = x - 1280 => 2x = 3200 => x = 1600 Required S.P. = 125% of Rs. 1600 =Rs(125/100*1600) = Rs2000

Rs. 2000
Rs. 2200
Rs. 2400
Data inadequate

Correct Answer: Rs. 2000

Explanation:

Let C.P. be Rs. x.

Then,= > $\frac{1920 - x}{x} * 100 = \frac{x - 1280}{x} * 100$

=> 1920 - x = x - 1280

=> 2x = 3200

=> x = 1600

Required S.P. = 125% of Rs. 1600 =Rs(125/100*1600) = Rs2000

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