SOLUTION: The price of an item is successively increased by 20% then reduced by 20%. By how much as the initial price been diminished?

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Question 948310: The price of an item is successively increased by 20% then reduced
by 20%.
By how much as the initial price been diminished?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's start with X.
Increase it by 20%.
X%2B%2820%2F100%29X=X%2B0.2X=1.2X
Now decrease by 20%.
1.2X-%2820%2F100%29%281.2X%29=1.2X-0.24X=0.96X
So the difference from start to finish is,
X-0.96X=0.04X or 4% reduction.