AlgebraVery hardOriginal price after a cut and a rise
Algebra practice question
A jacket's price was reduced by 20%, and the reduced price was then increased by 10%, giving a final price of $88. What was the original price, in dollars?
Answer: 100
0.8p × 1.1 = 0.88p = 88, so p = 100.
Common wrong answers
- If you answered 80
- 80 is 88 ÷ 1.1, the price after the cut but before the rise.
- If you answered 110
- 110 undoes the 20% cut with a 10% rise, which is not the inverse.
- If you answered 97.78
- 97.78 divides 88 by 0.9, treating the two changes as a single 10% cut.
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