A number increased by 75% then decreased by 75%. What percent of change from the orginal number to the final number?

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asked Mar 1, 2019 182k views

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DBD · Answer 1 · 2019-03-06T16:36:40+0000

n increased by 75% is (1 +0.75)n = 1.75n.
n decreased by 75% is (1 -0.75)n = 0.25n.

(n increased by 75%) decreased by 75% is 0.25(1.75n) = 0.4375n = (1 -0.5625)n

This is a decrease of 56.25% from the original number.

A number increased by 75% then decreased by 75%. What percent of change from the orginal number to the final number?

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