A number is increased by 20% then decreased by 27% and then further increased by 10%. What is the net increase/decrease percentage in the number (correct to the nearest integer)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 4% decrease.
Let the original number be 100.
100 + 20% of 100 =100 + 20 = 120
120 − 27 % of 120 = 120 − 32.4 = 87.6
87.6 + 10% of 87.6 = 87.6 + 8.76 = 96.36
Net change=100 − 96.36 = 3.64 ⇒ Decrease of 3.64%
4 % decrease nearest integer.