SOLUTION: An item has its price increased by $10 and then decreased by $10. Is the percent increase the same as the percent decrease? Explain your answer.

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Question 532744: An item has its price increased by $10 and then decreased by $10. Is the percent increase the same as the percent decrease? Explain your answer.
Found 2 solutions by josmiceli, Edwin McCravy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the original price was $100
A $10 increase is +10%2F100+ = 10%
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The item now cost $110. A $10 decrease
is +10%2F110+=+.091+, a 9.1% decrease

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
An item has its price increased by $10 and then decreased by $10. Is the percent increase the same as the percent decrease? Explain your answer.
Answer and explanation:

No.  The $10 increase is a bigger percentage of the former lower price than it
is of the later higher price, so the increase rate is larger than the decrease
rate.

Edwin