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Two-Fifth of the cars manufactured: Venn diagram

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Intern
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Joined: 06 Mar 2016
Posts: 15
Two-Fifth of the cars manufactured: Venn diagram  [#permalink]

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New post 02 Sep 2018, 10:18
1
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A
B
C
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Difficulty:

  35% (medium)

Question Stats:

78% (02:46) correct 22% (02:45) wrong based on 37 sessions

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Two-fifth of the cars manufactured by a company are defective. Three-fifth of the defective cars and one-twentieth of the non-defective cars are left hand drive. If all the left hand drive cars are exported by the factory and every car manufactured is either left hand drive or right hand drive, then what fraction of exported left hand cars are defective?
A) 6/25
B)8/9
C)3/5
D)1/9

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Re: Two-Fifth of the cars manufactured: Venn diagram  [#permalink]

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New post 02 Sep 2018, 10:45
2/5 are D, 3/5 are ND

And
3/5 of (2/5 D) + 1/20 of (3/5 ND) = L
Which can be written as
6/25 of T + 3/100 of T = L -> eq 1

Let #cars = LCM(25,100) = 100

Therefore, using eq 1

L = 24 + 3 = 27

Answer is 24/27 = 8/9 (B)

_________________________

Similar way

2/5 are D, 3/5 are ND

And
3/5 of (2/5 D) + 1/20 of (3/5 ND) = L


Let #cars = LCM(25,20) = 100

Therefore,
D = 40
ND = 60
L = 24 + 3 = 27

Answer is 24/27 = 8/9 (B)

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Re: Two-Fifth of the cars manufactured: Venn diagram  [#permalink]

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New post 02 Sep 2018, 10:56
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divyajoshi12 wrote:
Two-fifth of the cars manufactured by a company are defective. Three-fifth of the defective cars and one-twentieth of the non-defective cars are left hand drive. If all the left hand drive cars are exported by the factory and every car manufactured is either left hand drive or right hand drive, then what fraction of exported left hand cars are defective?
A) 6/25
B)8/9
C)3/5
D)1/9

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Hi divyajoshi12,
A GMAT type question has 5 answer options.
'For your necessary action please.
_________________

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PKN

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Re: Two-Fifth of the cars manufactured: Venn diagram &nbs [#permalink] 02 Sep 2018, 10:56
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Two-Fifth of the cars manufactured: Venn diagram

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