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

Question

Mathematics

Ezekiel Gates

12 November, 18:22

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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Ziggy · Answer 1

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.