SSC CPO 2020 PYQ — Question 103

SSC CPO - 25 Nov 2020 - Shift 1 • Quantitative Aptitude • Q103

If two successive discounts, each of 20% on the marked price of an article, are equal to a single discount of Rs.331.20, then the marked price (in Rs.) of the article is:

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 920.

Let the market price (MP) be Rs x

First discount at MP = (100 - 20)% of x

⇒ 80 % of x = 80100×x\frac{80}{100}\times{x} = 0.8x

Second discount = (100 - 20)% of 0.8x  = 80 % of 0.8x

⇒ 80100×0.8x\frac{80}{100} \times 0.8x = 0.8 × 0.8 = 0.64x

Equivalent discount = x - 0.64x

⇒ 331.20 = 0.36x

⇒ x = 331.200.36\frac{331.20}{0.36}

⇒ x = Rs. 920