SSC CPO 2020 PYQ — Question 133

SSC CPO - 24 Nov 2020 - Shift 2 • Quantitative Aptitude • Q133

A number is first increased by 40% and then decreased by 25% again increased by 15% and then decreased by 20%. What is the net increase/decrease percent in the number?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 3.4% decrease.

Let the number be y

⇒ y × 7/5 × 3/4 × 23/20 × 4/5

⇒ y × 483/500

⇒ 0.966y

Here,

⇒ 0.966y < y

Decrease percent in number = (y - 0.996y)/100 = 3.4%

Thus, the net decrease percent in the number is 3.4%