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A crate of apples contains 1 bruised apple for every 30 apples in the

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 59730
A crate of apples contains 1 bruised apple for every 30 apples in the  [#permalink]

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New post 13 Dec 2015, 05:03
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (02:00) correct 33% (01:59) wrong based on 75 sessions

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A crate of apples contains 1 bruised apple for every 30 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?

A. 270
B. 360
C. 480
D. 600
E. 840

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Director
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G
Joined: 20 Feb 2015
Posts: 737
Concentration: Strategy, General Management
Re: A crate of apples contains 1 bruised apple for every 30 apples in the  [#permalink]

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New post 13 Dec 2015, 12:43
1
as given 3 out of every 4 bruised apple is not fit to sell
or, 75% of the bruised apples are not fit to sell.
as per the question 12 are not fit to sell
or,
0.75x=12
x=1200/75=16
thus total number of bruised apples =16
total number of apples =30*16=480
Intern
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Joined: 12 Jul 2015
Posts: 18
Location: United States
Concentration: Strategy, General Management
WE: General Management (Pharmaceuticals and Biotech)
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Re: A crate of apples contains 1 bruised apple for every 30 apples in the  [#permalink]

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New post 14 Dec 2015, 12:43
Given: One out of 30 apples are bruised

Now,Out of 4 bruised apples 3 are unfit.
and There are 12 unfit apples => There are (12*4)/3 bruised apples= 16 bruised apples.

1 bruised apple out of 30 apples,
Hence, there must have been 30*16 = 480 apples in the crate.

HENCE, C
Manager
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Joined: 08 Sep 2016
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Re: A crate of apples contains 1 bruised apple for every 30 apples in the  [#permalink]

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New post 30 Sep 2018, 15:14
This is the perfect question to use the answer choices. Start with B.

360* 1/30 = 12. This means 12 apples are bruised but 9 are not fit to be sold. Need a larger number. Next try D.
600*130 = 20. 15 will not be fit, so you need a smaller number.

C has to be the answer
GMAT Club Bot
Re: A crate of apples contains 1 bruised apple for every 30 apples in the   [#permalink] 30 Sep 2018, 15:14
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A crate of apples contains 1 bruised apple for every 30 apples in the

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