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

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Director
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At a certain health club, 30% of the members use both the [#permalink] New post 07 Aug 2004, 10:59
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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
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Re: PS: Pool or Sauna [#permalink] New post 07 Aug 2004, 18:57
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
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 [#permalink] New post 08 Aug 2004, 08:49
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
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 [#permalink] New post 08 Aug 2004, 09:52
I got 50% too.

Only Pool is 20% (Same way as Sirjay)
Pool + Sauna = 50%.
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 [#permalink] New post 08 Aug 2004, 10:42
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.
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Director
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 [#permalink] New post 08 Aug 2004, 12:36
Gotcha. I had read the question wrongly. Thanks guys.
  [#permalink] 08 Aug 2004, 12:36
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