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5 votes
. A number is first increased by 20% and the

resulting number is then decreased by 10%.
Find the overall change in the number as
percent.


1 Answer

2 votes

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A number :


x

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20% of it :


(20)/(100)x = (2)/(10) x = 0.2x \\

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A number increased by 20 % , thus :


x + 0.2x = 1.2x

This is the resulting number.

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10% of resulting number :


(10)/(100) * 1.2x = (1)/(10) * 1.2x = \\


0.1 * 1.2x = 0.12x

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The resulting number decreased by 10% ; So :


1.2x - 0.12x = (1.20 - 0.12)x = \\


1.08x

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1.08x = 1x + 0.08x = x + 0.08x \\

Thus the overall change in the number as percent is :


0.08 * 100 = (8)/(100) * 100 = 8 \: percent \: \: increasing \\

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User Rfanatic
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