SSC CGL 2019 PYQ — Question 71

SSC CGL - 13th June 2019 - Shift 1 • Quantitative Aptitude • Q71

If a : b = 5 : 7, then (5a – 3b) : (4a – 2b) is equal to:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 2 ∶ 3

Understanding

Application

a : b = 5 : 7

Let, a = 5x

and b = 7x

(5a – 3b) : (4a – 2b)

= (5 × 5x – 3 × 7x) ∶ (4 × 5x – 2 × 7x)

= (25 – 21)x ∶ (20 – 14)x

= 4 ∶ 6 = 2 ∶ 3