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

The percentage profit earned by selling an article for TK. 1920 is equal to the percentage loss incurred by selling the same article for TK. 1280 .At what price should the article be sold to make 25% profit? Correct Answer TK. 2000

Let, Cost Price be Tk. X Then, 1920 - xx×100 = x - 1280x×10 ⇒ 1920 - x = x - 1280 ⇒2x = 3200 ⇒ x = 1600 ∴ Required S.P. = 125% of Tk. 1600 = Tk. 125100×1600 = Tk. 2000
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