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SSC Selection Post 2024 PYQ — Question 69

SSC Selection Post - Matriculation Level - 21 June 2024 - Shift 1 • Quantitative Aptitude • Q69

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The percentage profit earned by selling an article for Rs.2,100 is equal to the percentage loss incurred by selling the same article for Rs.1,460. At what price should the article be sold to make 20% profit?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. Rs. 2,136.

Let the Cost Price (CP) be ₹x

Profit% on selling price ₹2100 = Loss% on selling price ₹1460

⇒ 2100−xx=x−1460x\frac{2100 - x}{x} = \frac{x - 1460}{x}

⇒ 2100 − x = x − 1460 ⇒ 2100 + 1460 = 2x ⇒  3560 = 2x ⇒ x = 1780

Selling Price = CP + 20% of CP = 1780 + 0.2 × 1780 = 1780 × 1.2 = ₹ 2136