SSC GD 2025 PYQ — Question 43

SSC GD Const 2025 (English) - 04 Feb 2025 - Shift 1 • Quantitative Aptitude • Q43

A number is first decreased by 15% and then increased by 20%. The number so
obtained is 78 more than the original number. The original number is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 3900.

Let the original number be x

x−15% of x = 0.85x

0.85x + 20% of 0.85x = 1.02x

1.02x − x = 78

0.02x = 78

x = 78/0.02 ​= 3900​