Percentages · Question 27 · Hard
A quantity is increased by 20%, then decreased by 25%, and then increased by x%, bringing it back to its original value. What is x?
- 5%
- 11 1/9%
- 10%
- 12 1/2%
Answer and explanation
Answer: B. 11 1/9%
Explanation: After the first two changes the value is 1.2 × 0.75 = 0.9 of the original. To get back to 1, it must rise by 0.1/0.9 = 1/9 = 11 1/9%.
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