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Equal but Opposite Percentage Changes Do Not Cancel
Equal percentage increases and decreases do not cancel. The resulting change, , is always less than the initial value. For example, if you make 50% on an investment and then lose 50%, the result is a loss of 25%: . Going the other way, to make up for a loss of 50%, you need to make 100%, not just 50%.




"Equal but Opposite Percentage Changes Do Not Cancel" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/EqualButOppositePercentageChangesDoNotCancel/
Contributed by: Michael Schreiber
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