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# Arithmetic- mayoral election

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Director
Status: GMAT Learner
Joined: 14 Jul 2010
Posts: 655
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Kudos [?]: 152 [0], given: 32

Arithmetic- mayoral election [#permalink]  18 Feb 2011, 13:23
00:00

Difficulty:

5% (low)

Question Stats:

77% (01:19) correct 22% (00:00) wrong based on 9 sessions
In a mayoral election, Candidate X received 1/3 more votes than candidate Y, and Candidate Y received 1/4 fewer votes than Z. If Z received 24,000 votes how many votes did candidate X received?

18000
22000
24000
26000
32000
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 17682 [1] , given: 2237

Re: Arithmetic- mayoral election [#permalink]  18 Feb 2011, 13:32
1
KUDOS
Expert's post
Baten80 wrote:
In a mayoral election, Candidate X received 1/3 more votes than candidate Y, and Candidate Y received 1/4 fewer votes than Z. If Z received 24,000 votes how many votes did candidate X received?

18000
22000
24000
26000
32000

Z=24 --> Y received 1/4 fewer votes than Z --> Y=3/4*Z=18;
X received 1/3 more votes than Y --> X=Y+1/3*Y=24.

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Joined: 14 Feb 2011
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Kudos [?]: 51 [0], given: 3

Re: Arithmetic- mayoral election [#permalink]  19 Feb 2011, 13:36
X=4/3*Y
Y=3/4*Z
Hence X = Z = 24000
Re: Arithmetic- mayoral election   [#permalink] 19 Feb 2011, 13:36
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# Arithmetic- mayoral election

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