Question 581
A number is increased by 20% and then decreased by 20%. What is the net change in the number?
- AOption (a)
4% increase
- BOption (b)
4% decrease
- COption (c)
No change
- DOption (d)
1% decrease
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Correct answer
4% decrease
Why this answer is correct
Given: Let the original number = 100
According to Question: The number is increased by 20% and then decreased by 20%.
Increase = 20% of 100
20% of 100 = (20 / 100) × 100 = 20
So, new number after increase = 100 + 20 = 120
Decrease = 20% of 120
20% of 120 = (20 / 100) × 120 = 24
So, new number after decrease = 120 − 24 = 96
Net change = 100 − 96 = 4 (decrease)
Hence, the correct answer is Option 2.