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SSC Selection Post 2020 PYQ — Question 61

SSC Selection Post - Matriculation Level 2020 - 9 Nov 2020 - Shift 1 • Quantitative Aptitude • Q61

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An article is sold for ₹x. If it is sold at 66232\over3 % of this price, there is a loss of 20%. What is the percentage profit when it is sold for ₹x?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 20%.

Sold at 23x\frac{2}{3}x ⇒ 20% loss

23x\frac{2}{3}x = 80% of CP = 0.8C

⇒C=2x2.4=5x6\Rightarrow C = \frac{2x}{2.4} = \frac{5x}{6}

Now sold at ₹x ⇒
Profit = x−5x6=x6x - \frac{5x}{6} = \frac{x}{6}

Profit % = x65x6×100=15×100=20%\frac{\frac{x}{6}}{\frac{5x}{6}} \times 100 = \frac{1}{5} \times 100 = 20\%