SSC Selection Post 2022 PYQ — Question 54

SSC Selection Post - Higher Secondary Level - 14 March 2022 - Shift 2 • Quantitative Aptitude • Q54

A shopkeeper gains 20% when he sells an article at a 20% discount on its market price. If the cost price of the article is reduced by 20% and he wants to earn a profit of 26%, then how much percent discount should he give on the same marked price of the article?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 32.8%.

Let MP = 100

20% discount: SP = 80

Profit 20%: CP = 801.280\over1.2 = 2003200\over3

New CP = 2003200\over3 × 8010080\over100 = 1603160\over3

Required profit = 26%

New SP = 1603160\over3 × 126100126\over100 = 67.20

Discount = 100 - 67.20 = 32.8%