SSC GD 2023 PYQ — Question 47

SSC GD Constable (English) - 23 Jan 2023 - Shift 3 • Quantitative Aptitude • Q47

If 85% of (x - y) = 35% of (x + y), then y is what percentage of x?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 412341 {{2} \over 3}%.

Calculations:

If 85% of (x - y) = 35% of (x + y)

⇒ 85 × (x - y) = 35 × (x + y)

⇒ 17 × (x - y) = 7 × (x + y)

⇒ 10x = 24y

⇒ x/y = 12/5

Let the value of x and y be 12z and 5z.

Required percentage = (5z/12z) × 100 =  412341 {{2} \over 3}%