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

1 Answer
Alan P.
Dec 22, 2016

No

Explanation:

#"increase in value" = "new value" - "original value"#
The percentage increase is
#color(white)("XXX")("increase in value")/("orignal value")xx100%#

In this case, the percentage increase is
#color(white)("XXX")(100-25)/(25)xx100%=300%#

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

#"decrease in value" = "original value" - "new value"#
The percentage decrease is
#color(white)("XXX")("decrease in value")/("original value")xx100%#

In this case, the percentage decrease is
#color(white)("XXX")(100-25)/100xx100%=75%#

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