Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45?
1 The amount of change is different for the percent increase and the percent decrease.
2 The ratio of the percent increase is not the same as the percent decrease.
3 The ratio for the percent increase has a smaller denominator than the percent decrease.
4 The ratio for the percent increase has a different numerator than the percent decrease.
5 The ratio of the percent increase is the same as the percent decrease.
6 The original amount for the percent increase is different from the original amou
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A percent is a ratio, and a ratio is a way of comparing two numbers with division.
When you go from 45 to 70, the difference is 25.
When you go from 70 to 45, the difference is also 25.
The reason the percentages are different is that when you go from 45 to 70, you are finding what percent of 45 is 25?
When you go from 70 to 45, you are finding what percent of 70 is 25?
The change is the same in both cases, 25, but the difference is that the number you are comparing 25 with is different in each case.