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If X decreases 40%, by what percent must it increase to retu

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If X decreases 40%, by what percent must it increase to retu [#permalink] New post 02 Oct 2017, 22:28
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If X decreases 40%, by what percent must it increase to return to its original value?

(A) 40

(B) 50

(C) 66 2/3%

(D) 75%

(E) 80%

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Re: If X decreases 40%, by what percent must it increase to retu [#permalink] New post 03 Oct 2017, 04:32
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If we reduce X by 40% we get (1-0.4)*X = 0.6X. If we want to get X back, we can write an equation \(0.6x*p = x\), where p is the percent increase. Then p = 1.6667.

The increase is then 66.667 or 66 2/3%.

Answer C
Re: If X decreases 40%, by what percent must it increase to retu   [#permalink] 03 Oct 2017, 04:32
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If X decreases 40%, by what percent must it increase to retu

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