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A value is increased by 30% and then decreased by an unknown percentage to return to the original value. What is the percentage decrease required?

1. 23.08%
2. 26.92%
3. 30.26%
4. 20.22%

Correct answer: 23.08%

Solution

If the original value is 100, after a 30% increase it becomes 130. Let the required decrease be \(x\%\); then \(130(1-x/100)=100\). Solving gives \(x=23.08\%\).

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