A number is decreased by 35%, then increased by 25% and then further increased by 15%. What is the net increase/decrease percentage in the number (correct to the nearest integer)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 7% decrease.
Let the original number be 100 units.
100−35% of 100 = 100−35 = 65
65 + 25% of 65 = 65 + (25/100) × 65 = 65 + 16.25 = 81.25
81.25 + 15% of 81.25 = 81.25 + (15/100) × 81.25 = 81.25 + 12.1875 = 93.4375
Net decrease = 100 − 93.4375 = 6.5625
Percentage decrease = (6.5625/100) × 100 = 6.5625% ≈ 7%