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- In order to increase a quantity by 10%, you multiply it by 1.1.
- In order to decrease a quantity by 10%, you multiply it by 0.9.

Starting out with a quantity of 100, we want to increase it 10%, and then decrease THE RESULT by 10%.

(100) x (1.1) = 110

(110) x (0.9) = 99

The ending quantity is 99.

The hypothesis of the question is exactly backwards. The net result is a 1-percent DECREASE.

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14y ago
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Q: Prove that 10 percent increase followed by 10 percent decrease is equivalent to 1 percent increase?
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