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SSC Selection Post 2022 PYQ — Question 53

SSC Selection Post - Matriculation Level - 3 Feb 2022 - Shift 1 • Quantitative Aptitude • Q53

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A shopkeeper earns a profit of 26% on the cost price of an article after giving two successive discounts of 20% and 30% on the marked price to a customer. What would have been the profit percentage had the shopkeeper given a 26% discount only?

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 66.5%.

Let CP = 100

SP = 126 (26% profit)

Single discount = - 20 - 30 + 600/100 = -50 + 6 = -44

⇒ SP = 100−D100×MP{100-D\over100}\times MP

⇒ MP = 100100−44×SP{100\over100-44}\times SP

⇒ MP = 10056×SP{100\over56}\times SP

⇒ MP = 10056×126{100\over56}\times 126 = 225

Now, the shopkeeper gives a 26% discount on MP

⇒ 225 × 7410074\over100 = 166.5

Profit = 166.5 - 100 = 66.5%