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# In a club there were two types of members, permanent and temporary.

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Director
Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
In a club there were two types of members, permanent and temporary.  [#permalink]

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08 Mar 2019, 00:36
2
00:00

Difficulty:

5% (low)

Question Stats:

88% (01:55) correct 12% (02:06) wrong based on 50 sessions

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In a club, there were two types of members, permanent and temporary. 30% of the members were temporary members and were not getting top class benefits. If 12% of the members were permanent members who were getting top class benefits, then what is the maximum percentage of members who were temporary members and were getting top class benefits?

A. 70%
B. 65%
C. 58%
D. 55%
E. 40%
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3074
Re: In a club there were two types of members, permanent and temporary.  [#permalink]

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08 Mar 2019, 02:44
1

Solution

Given:
• In a club, there were two types of members, permanent and temporary.
• 30% of the members were temporary members and were not getting top class benefits.
• 12% of the members were permanent members who were getting top class benefits.

To find:
• The maximum percentage of members who were temporary members and were getting top class benefits

Approach and Working:
Let us assume that the total number of members in the club is 100.
• Temporary members without benefits = 30% of 100 = 30
• Permanent members with benefits = 12% of 100 = 12
• Therefore, remaining members = 100 – (30 + 12) = 100 – 42 = 58

Now, to maximise the number of temporary members with benefits, we need to minimise the number of permanent members without benefits
• Minimum number of permanent members without benefits = 0
• Therefore, maximum number of temporary members with benefits = 58
• And, percentage of temporary members with benefits = 58%

Hence, the correct answer is option C.

_________________
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9705
Location: Pune, India
Re: In a club there were two types of members, permanent and temporary.  [#permalink]

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08 Mar 2019, 04:33
kiran120680 wrote:
In a club, there were two types of members, permanent and temporary. 30% of the members were temporary members and were not getting top class benefits. If 12% of the members were permanent members who were getting top class benefits, then what is the maximum percentage of members who were temporary members and were getting top class benefits?

A. 70%
B. 65%
C. 58%
D. 55%
E. 40%

Say there are 100 members.

30 are temporary and not getting benefits
12 are permanent and getting benefits

So maximum 58 (= 100 - 30 -12) could belong to the group of temporary members getting benefits.

_________________
Karishma
Veritas Prep GMAT Instructor

Re: In a club there were two types of members, permanent and temporary.   [#permalink] 08 Mar 2019, 04:33
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