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SSC Selection Post 2023 PYQ — Question 60

SSC Selection Post - Matriculation Level - 27 June 2023 - Shift 1 • Quantitative Aptitude • Q60

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Somesh is a shopkeeper who gives two successive discounts on an umbrella marked ₹560. The first discount given is 17%. If the customer Mahesh pays ₹420 for the umbrella, then find the second discount given (correct to two places of decimals).

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 9.64%.

Price after 17% discount =560−(17% of 560)=560−(17100×560)=560−95.20=₹464.80= 560 - (17\% \text{ of } 560) = 560 - \left(\frac{17}{100} \times 560\right) = 560 - 95.20 = ₹464.80

Let the second discount be x%.

Selling Price = 464.80 − (x/100 ​× 464.80) = 420

⇒ 464.80(1−x100)=420464.80 \left(1 - \frac{x}{100} \right) = 420 

⇒ 1 − x/100​ = 420/464.80​ ≈ 0.9036

⇒ x/100 = 1 − 0.9036 = 0.0964

⇒ x = 9.64%