SSC GD 2025 PYQ — Question 51

SSC GD Const 2025 (English) - 11 Feb 2025 - Shift 3 • Quantitative Aptitude • Q51

A number is increased by 50% and then again by 50%. By what percentage should the increased number be reduced so as to get back the original number?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 55595\over9% .

Let original number = 100

After first 50% increase: 100 + 50 = 150

After second 50% increase: 150 + 75 = 225

Now, to return from 225 to 100:

Required % decrease = [(225 – 100) / 225] × 100

= (125 / 225) × 100 ≈ 55595\over9%