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

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Senior Manager
Joined: 20 May 2014
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Kudos [?]: 49 [0], given: 220

If X decreases 40%, by what percent must it increase to retu [#permalink]  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%

Kudos for correct solution.
[Reveal] Spoiler: OA
Director
Joined: 03 Sep 2017
Posts: 521
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Kudos [?]: 330 [1] , given: 66

Re: If X decreases 40%, by what percent must it increase to retu [#permalink]  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%.

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