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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?

/ Mathematics Mcqs, Profit and Loss Mcqs / By
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?

A. Rs. 2000
B. Rs. 2200
C. Rs. 2400
D. None of these
Explanation:
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 = 125/100 * 1600 = Rs. 2000.