After a $20\%$ rise and a $20\%$ fall, a quantity becomes:

Question

After a $20\%$ rise and a $20\%$ fall, a quantity becomes:

Option A

same as original

Option B — Correct answer

4% lower

Correct choice.

Option C

4% higher

Option D

8% lower

Explanation

Use the multiplier $1.2\times0.8=0.96$. The final quantity is $96\%$ of the original, so there is a $4\%$ net fall.

Chapter Mock 3: Percentage