Problem-Solving and Data AnalysisVery hardA rise and a discount that cancel
Problem-Solving and Data Analysis practice question
A shop raised the price of a coat by 25% and later offered 20% off the new price. The final price is what percent of the ORIGINAL price?
Answer: 100
Multiply the factors: 1.25 × 0.80 = 1.00. The final price is 100% of the original — the two changes cancel exactly.
Common wrong answers
- If you answered 80
- 80 is the effect of the discount alone, ignoring the earlier rise.
- If you answered 95
- 95 would need factors multiplying to 0.95; 1.25 × 0.8 is exactly 1.
- If you answered 105
- 105 adds the percents (+25 − 20); successive percent changes multiply.
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