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# In a shipment, 24 pieces are found defective. However, 60% of the...

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Experts' Global Representative
Joined: 19 Feb 2010
Posts: 249
In a shipment, 24 pieces are found defective. However, 60% of the...  [#permalink]

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18 Apr 2017, 13:58
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15% (low)

Question Stats:

81% (01:59) correct 19% (02:11) wrong based on 37 sessions

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Source: Experts' Global

In a shipment, 24 pieces are found defective. However, 60% of the defective pieces were not identified. If there are 300 pieces in the shipment, what is the percentage of defective pieces in the shipment?

A.10%
B. 16.67%
C. 20%
D. 33.3%
E. 40%

Regards,
Maxximus

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Senior Manager
Joined: 24 Apr 2016
Posts: 306
Re: In a shipment, 24 pieces are found defective. However, 60% of the...  [#permalink]

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18 Apr 2017, 14:55
Number of Defective pieces found = 24
Percentage of defective pieces, '24 pieces' represent = 40% [as 60% of defective pieces were not found]
Total number of defective pieces = (24/40) * 100 = 60

Percentage of total defective pieces in the shipment = (60/300) * 100 = 20%

Intern
Joined: 09 Apr 2017
Posts: 30
Location: United States
GMAT 1: 690 Q47 V38
GMAT 2: 720 Q48 V41
GPA: 3.5
Re: In a shipment, 24 pieces are found defective. However, 60% of the...  [#permalink]

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19 Apr 2017, 10:20
Let total defective pieces = x

Since, since 60% of defective pieces haven't been identified:
40% of x = 24
40/100 * x = 24
x = 60

Percentage of defective pieces out of total = 60/300 *100 = 20%
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Joined: 09 Sep 2013
Posts: 15063
Re: In a shipment, 24 pieces are found defective. However, 60% of the...  [#permalink]

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11 Aug 2019, 00:08
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Re: In a shipment, 24 pieces are found defective. However, 60% of the...   [#permalink] 11 Aug 2019, 00:08