SSC CGL 2020 PYQ — Question 57

SSC CGL - 3rd March 2020 Shift 3 • Quantitative Aptitude • Q57

If the difference between 62% and 80% of a number is 198, then the difference between 92% and 56% of the number will be:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e 396.

Understanding/Application

Let the number be x.

Acc. to the question -

80% of x - 62% of x = 198

80x/100 - 62x/100 = 198

18x/100 = 198

x = (198 × 100)/18

x = 1100

= 92% of 1100 - 56% of 1100 

= [(1100 × 92)/100] - [(1100 × 56)/100]

= 1012 - 616

= 396