SSC Selection Post 2022 PYQ — Question 70

SSC Selection Post - Higher Secondary Level - 09 Feb 2022 - Shift 2 • Quantitative Aptitude • Q70

A shopkeeper marks an article at such a price that after giving a discount of $12 {1{} \over 2}$ % on the marked price, he still earns a profit of 15%. What is the ratio of the marked price to the selling price of the article?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 8 : 7.

Let CP = 100

Profit = 15%

⇒ SP = 115

Let MP = x

Given: SP = 87.5% of MP = $7x\over8$

⇒ $7x\over8$ = 115

⇒ x = $920\over7$

MP : SP = $920\over7$ : 115 = 920 : 805 = 8 : 7