Is the percent increase from 25 to 100 the same as the percent decrease from 100 to 25?

Question

Is the percent increase from 25 to 100 the same as the percent decrease from 100 to 25?

1 Answer

Impact of this question

4864 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-22T19:26:40

No

Explanation:

$increase in value = new value - original value$ $"increase in value" = "new value" - "original value"$
The percentage increase is
$XXX \frac{increase in value}{orignal value} \times 100 %$ $color(white)("XXX")("increase in value")/("orignal value")xx100%$

In this case, the percentage increase is
$XXX \frac{100 - 25}{25} \times 100 % = 300 %$ $color(white)("XXX")(100-25)/(25)xx100%=300%$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$decrease in value = original value - new value$ $"decrease in value" = "original value" - "new value"$
The percentage decrease is
$XXX \frac{decrease in value}{original value} \times 100 %$ $color(white)("XXX")("decrease in value")/("original value")xx100%$

In this case, the percentage decrease is
$XXX \frac{100 - 25}{100} \times 100 % = 75 %$ $color(white)("XXX")(100-25)/100xx100%=75%$

Science

Math

Humanities

... and beyond

Is the percent increase from 25 to 100 the same as the percent decrease from 100 to 25?

1 Answer

Explanation:

Related questions

Impact of this question