Single correct option
The price of an item is increased by 25% and then decreased by 20%. What is the net percentage change in the price?
- A. 5% increase
- B. No change
- C. 4% increase
- D. 5% decrease
Show answer and solution
Answer: (B) No change
Using multipliers: a 25% increase multiplies by 1.25, and a 20% decrease multiplies by 0.8. Net multiplier = 1.25×0.8 = 1.0, i.e. the price returns exactly to its original value — no net change. This is a classic trap: successive percentage changes of +x% and −y% cancel exactly when (1+x/100)(1−y/100) = 1, which happens here because 1.25 and 0.8 are reciprocals of each other.
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