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SSC CGL 2022 PYQ — Question 9

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q9

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A lady sold an article for Rs. 960 at some profit. Had she sold it for Rs. 800, then there would have been a loss equal to 13\frac{1}{3} of the initial profit. What was the profit percentage of the article?

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Correct answer: D

Explanation

The correct answer is option 4 i.e.  1007\frac{100}{7}%

Let the CP be 100x

If SP is 960 then profit will be,

Profit = 960 - 100x

If SP = 800 then loss = 1/3(960 - 100x)

Loss = 100x - 800

1/3(960 - 100x) = 100x - 800

960 - 100x = 300x - 2400

400x = 3360

x = 8.4

CP = 100 × 8.4 = 840.

Profit = 960 - 840 = 120

Profit% = 120/840 × 100 = 100/7%.