SSC CGL 2019 PYQ — Question 65

SSC CGL - 6th June 2019 - Shift 2 • Quantitative Aptitude • Q65

Abhi bought two articles for Rs. 624. He sold one at a loss of 14% and the other at a profit of 14%. If the selling price of both the articles is equal, then the difference between their cost prices (in Rs.) is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 87.36

Concept

Application

SP = CP × (100 + profit)/100

And

SP = CP × (100 – loss)/100

Given that, cost price for two articles x and y is 624

Total CP = x + y= 624

 

Selling price of 1st article = 0.86x

Selling price of 2nd article = 1.14x

Since selling price of both articles is same:

86x = 114y

x/y = 57/43

Let x = 57n and y = 43n

From

x + y = 624

100n = 624

n = 6.24

Difference = 57n – 43n = 14n

= 14 × 6.24

= 87.36