SSC CPO 2024 PYQ — Question 134

SSC CPO - 28 June 2024 - Shift 1 • Quantitative Aptitude • Q134

A number is first decreased by 10%, then increased by 30% and then further it is decreased by 20%. What is the net decrease percentage in the number?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 6 25\frac{2}{5} %

Let's assume the original number is 100.

Decreased by 10%: 100 - 10% of 100 = 100 - 10 = 90

Increased by 30%: 90 + 30% of 90 = 90 + 27 = 117

Decreased by 20%: 117 - 20% of 117 = 117 - 23.4 = 93.6

So, the net decrease is 100 - 93.6 = 6.4%.

Therefore, the net decrease percentage in the number is 6.4%.