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# At a certain health club, 30% of the members use both the

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Director
Joined: 20 Jul 2004
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At a certain health club, 30% of the members use both the [#permalink]

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07 Aug 2004, 11:59
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At a certain health club, 30% of the members use both the pool and the sauna, but 40% of the memebers who use pool do not use sauna. What % of members of healthclub use pool?
1) 33 1/3%
2) 40%
3) 50%
4) 63 1/2%
5) 75%
Director
Joined: 05 May 2004
Posts: 575
Location: San Jose, CA
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Kudos [?]: 61 [0], given: 0

Re: PS: Pool or Sauna [#permalink]

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07 Aug 2004, 19:57
50%

Let number of % of ALL people who use pool but not sauna be X
hence
X/(30+X) = 40/100
or X=20

Hence % people using pool = 20+30= 50%
Director
Joined: 16 Jun 2004
Posts: 892
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Kudos [?]: 63 [0], given: 0

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08 Aug 2004, 09:49
I think the problem is not ok. If 40% use only Pool and 30% use pool or sauna. If approach this using Venn diagram...its not working out at all. Srijay's soln I think is still missing some logic I am unsure what I am missing here....
Senior Manager
Joined: 19 May 2004
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08 Aug 2004, 10:52
I got 50% too.

Only Pool is 20% (Same way as Sirjay)
Pool + Sauna = 50%.
Director
Joined: 20 Jul 2004
Posts: 592
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Kudos [?]: 138 [0], given: 0

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08 Aug 2004, 11:42
venksune wrote:
I think the problem is not ok. If 40% use only Pool and 30% use pool or sauna. If approach this using Venn diagram...its not working out at all. Srijay's soln I think is still missing some logic I am unsure what I am missing here....

OA is 50%, C. I got it wrong in the first attempt too.
See if this diagram helps.
Attachments

SaunaClub.JPG [ 34.48 KiB | Viewed 858 times ]

Director
Joined: 16 Jun 2004
Posts: 892
Followers: 3

Kudos [?]: 63 [0], given: 0

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08 Aug 2004, 13:36
08 Aug 2004, 13:36
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