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At Daifu university, 40% of all students are both members of

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At Daifu university, 40% of all students are both members of [#permalink] New post 27 Jun 2008, 00:40
At Daifu university, 40% of all students are both members of a student organization and want to reduce their tuition costs. 20% of those students who want to reduce tuition are not members of the student organization. What percentage of all Daifu students want to reduce tuition?

(C) 2008 GMAT Club - m01#15

20%
30%
40%
50%
60%

Can this question be solved using a Venn Diagram where three circles represent, 1.) members 2.) non members 3.)students who want to reduce tuition?
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Re: need some help with this q from m01 [#permalink] New post 27 Jun 2008, 00:51
My ans is 60% (40+20). 40% are both and 20% wants to reduce only tution fees. therefore, total 60% wants to reduce tution fees
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Re: need some help with this q from m01 [#permalink] New post 27 Jun 2008, 01:16
Answer is (D) = 50%

Let's call X the total number of students, C the number of students that are both members of a student organization and want to reduce their tuition costs and D the number of students that want to reduce their tuition costs but are not members of a student organization.

We know that : C = 40% X and D = 20% (C + D) i.e. D = 1/4 C

Ratio we want is (C + D) / X = 5/4 * C / X = 5/4 * 40% = 50%
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Re: need some help with this q from m01 [#permalink] New post 27 Jun 2008, 01:27
thanks for the explanation
Re: need some help with this q from m01   [#permalink] 27 Jun 2008, 01:27
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