The percentage profit earned by selling an article for Rs. 1920 is equal to the

Question

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?

Options:

A . Rs. 2000

B . Rs. 2200

C . Rs. 2400

D . Data inadequate

Answer: Option A

Let C.P. be Rs. x.

Then, \(\frac{1920-x}{x}\times100 =\frac{x-1280}{x}\times100\)

1920 - x = x - 1280

2x = 3200

x = 1600

So, Required S.P. = 125% of Rs. 1600 = Rs. \(\left(\frac{125}{100}\times1600\right)\) = Rs.2000

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