SSC Selection Post 2022 PYQ — Question 55

SSC Selection Post - Matriculation Level 2022 - 7 Feb 2022 - Shift 1 • Quantitative Aptitude • Q55

A second hand car was sold at a profit of 25%. Had it been sold for ₹26,875 less, the profit would have been 12%. What is the cost price(in ₹, to the nearest integer) of the car?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 2,06,731.

Let the cost price of car be 100x.

First SP = 125% of 100x = 125x

Second SP = 112% of 100x = 112x

Given, 125x - 112x = 26875

⇒ 13x = 26875 

⇒ x = 2067.31

CP = 100x = 206731