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# 60 percent of movie theatres in Town X have 3 screens or l

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Joined: 09 Feb 2013
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60 percent of movie theatres in Town X have 3 screens or l [#permalink]  15 Feb 2013, 11:25
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73% (02:50) correct 27% (02:16) wrong based on 91 sessions
60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell$300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day? A. 12 B. 18 C. 32 D. 40 E. 44 [Reveal] Spoiler: OA _________________ Kudos will encourage many others, like me. Good Questions also deserve few KUDOS. Moderator Joined: 02 Jul 2012 Posts: 1230 Location: India Concentration: Strategy GMAT 1: 740 Q49 V42 GPA: 3.8 WE: Engineering (Energy and Utilities) Followers: 100 Kudos [?]: 1066 [2] , given: 116 Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink] 15 Feb 2013, 21:29 2 This post received KUDOS 1 This post was BOOKMARKED emmak wrote: 60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than$300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than$300 worth of popcorn per day?

A. 12
B. 18
C. 32
D. 40
E. 44

Answer is C. Data given are in black and data inferred are in red.
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Kudos [?]: 409 [1] , given: 15

Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink]  15 Feb 2013, 20:44
1
KUDOS
Lets take numbers here.
Assume that the total number of movie theaters in the town = 100

Then number of movie theaters with 3 screens or less = 60
=> Number of movie theaters with 4 screens or more = 40
Movie theaters with 3 screens or less selling popcorn at more than $300 = 20% of 60 = 12 Number of movie theaters selling popcorn at$300 or less = 56
=> Number of movie theaters selling popcorn at more than $300 = 100-56 = 44 Of these 44 theaters, 12 are those with 3 screens or less Therefore 32 (44-12) must be those with four screens or more C is the answer _________________ GyanOne | Top MBA Rankings and MBA Admissions Blog Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738 GMAT Club Legend Joined: 09 Sep 2013 Posts: 8184 Followers: 416 Kudos [?]: 111 [0], given: 0 Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink] 14 Mar 2014, 00:32 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ GMAT Club Legend Joined: 09 Sep 2013 Posts: 8184 Followers: 416 Kudos [?]: 111 [0], given: 0 Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink] 06 Jan 2016, 11:23 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Manager Joined: 20 Aug 2015 Posts: 235 Location: India GMAT 1: 760 Q50 V42 Followers: 5 Kudos [?]: 69 [0], given: 5 Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink] 07 Jan 2016, 00:56 Expert's post emmak wrote: 60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than$300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than$300 worth of popcorn per day?

A. 12
B. 18
C. 32
D. 40
E. 44

Assume the total theaters to be 100x (We assume this to avoid unitary method or decimals)

Given:
60x have 3 screens or less
Hence, 40x have 4 screens or more

20% of 60x sell more than $300 popcorn = 12x theaters. 56% of all sell less than$300 popcorn = 56x theaters. Hence 44x sell more than $300 popcorn. Required: Percentage of theaters with 4 or more screens and more than$300 popcorn sale?
Of the 44x theaters that sell more than $300 popcorn, 12 have 3 screens of less Total theaters with 4 or more screens and ore than$300 sale = 32x

Percentage = 32x/100x * 100 = 32%
Option C
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Re: 60 percent of movie theatres in Town X have 3 screens or l   [#permalink] 07 Jan 2016, 00:56
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