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opening night performance

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Director
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opening night performance [#permalink]

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New post 20 Jul 2009, 08:49
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At the opening night performance of a new play,5% of the theatre patrons are late and are seated immediatly,but 30% of the patrons who are late are not seated until the end of the first act.Approx. what percent of the theatre patrons are late?

5%
7%
35%
70%
80%

HUH?i read this question thrice and still was in a loop!Not clear AT ALL!
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http://gmatclub.com/forum/countdown-beginshas-ended-85483-40.html#p649902

Kudos [?]: 1137 [0], given: 100

Senior Manager
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Joined: 18 Jun 2009
Posts: 356

Kudos [?]: 78 [0], given: 15

Location: San Francisco
Schools: Duke,Oxford,IMD,INSEAD
Re: opening night performance [#permalink]

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New post 20 Jul 2009, 09:26
tejal777 wrote:
At the opening night performance of a new play,5% of the theatre patrons are late and are seated immediatly,but 30% of the patrons who are late are not seated until the end of the first act.Approx. what percent of the theatre patrons are late?

5%
7%
35%
70%
80%

HUH?i read this question thrice and still was in a loop!Not clear AT ALL!



This question doesnt make sense at all. Probably a typo. Is there an official explanation for this question ? If all the 5% who are are late are seated immediately then how can 30% of the late guys are not seated until the end of the first act ?

The only possible way I can think of is

5% of total came late and were seated immediately - General statement of all late comers
30% of the above late comers came were seated after the first act, so to satisfy the above condition which is a general rule that they need to be seated immediately, we can conclude that this group came after the first act and hence satisfies both the conditions of "seated immediately and also were seated after the first act"

so answer is 5%

OA please ?

Kudos [?]: 78 [0], given: 15

Senior Manager
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Re: opening night performance [#permalink]

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New post 20 Jul 2009, 10:01
Say total patrons who are late =100

so 30 are not seated.
ie, 70 late comers are seated

these 70 are 5% of total number of patrons.

so total number of patrons = 70/5% = 1400

Therefore, %age of patrons who are late = 100/1400 = 7.14%

ans is B

Kudos [?]: 155 [0], given: 15

Senior Manager
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Kudos [?]: 78 [0], given: 15

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Re: opening night performance [#permalink]

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New post 20 Jul 2009, 10:07
Rashmi dont you think 100 are late and seated immediately represent 5% ? and 30% is a subset of the same ?

Actually the question wording is quite confusing

Kudos [?]: 78 [0], given: 15

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Kudos [?]: 155 [0], given: 15

Re: opening night performance [#permalink]

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New post 20 Jul 2009, 10:24
gmanjesh wrote:
Rashmi dont you think 100 are late and seated immediately represent 5% ? and 30% is a subset of the same ?

Actually the question wording is quite confusing



I didn't exactly get what you are trying to say.

"late AND seated" means both A and B.

Say 2 sets, A(late), B(seated)
5% is the intersection of A and B.
30% is A NOT B.

Hope it is clear now.

Kudos [?]: 155 [0], given: 15

Senior Manager
Senior Manager
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Joined: 18 Jun 2009
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Kudos [?]: 78 [0], given: 15

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Re: opening night performance [#permalink]

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New post 20 Jul 2009, 10:35
Yep, clear now. Need to improve big time on my vocabulary ... hmmm red signal for my verbal part of GMAT :shock:

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Manager
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Re: opening night performance [#permalink]

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New post 21 Jul 2009, 03:12
Yup B, 30% are not seated , 5% are = 70% of late patrons are seated.
Considering the 2, 5 + slightly less than half of 5 = around 7 matches option B.

Kudos [?]: 34 [0], given: 11

Re: opening night performance   [#permalink] 21 Jul 2009, 03:12
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