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A library branch originally contained 18360 volumes, 30% of which were

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A library branch originally contained 18360 volumes, 30% of which were [#permalink]

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New post 25 Apr 2016, 07:53
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Question Stats:

61% (02:14) correct 39% (01:34) wrong based on 57 sessions

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A library branch originally contained 18360 volumes, 30% of which were fiction novels. 1/3 of the volumes were transferred to another location and 1/3 of the volumes transferred were fiction novels. What percent of the remaining collection was fiction novels?

A. 2.5%
B. 17.67%
C. 28.3%
D. 45.2%
E. 73.6%
[Reveal] Spoiler: OA

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Re: A library branch originally contained 18360 volumes, 30% of which were [#permalink]

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New post 25 Apr 2016, 10:07
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As everything is either fraction or percentage, the given figure 18360 is just a false alarm. We can do this by assuming that originally the branch had 100 volumes.

Originally:
Total- 100
Fiction- 30

Transferred:
Total- 33 (One third of original total)
Fiction- 11 (One third of those transferred)

Remaining:
Total- \(100 - 33 = 67\)
Fiction- \(30 - 11 = 19\)

To find:
19 is what percent of 67
28.3

Option C

Plz correct me if im wrong.
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Re: A library branch originally contained 18360 volumes, 30% of which were [#permalink]

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New post 25 Apr 2016, 10:38
Bunuel wrote:
A library branch originally contained 18360 volumes, 30% of which were fiction novels. 1/3 of the volumes were transferred to another location and 1/3 of the volumes transferred were fiction novels. What percent of the remaining collection was fiction novels?

A. 2.5%
B. 17.67%
C. 28.3%
D. 45.2%
E. 73.6%


Actual Calculation Approach

Fiction Novels = 5,508

Transferred to another location = 6,120

Transferred fiction novels = 2,040

Non Transferred Fiction Novels = 3,468

Percent of the remaining collection was fiction novels = 3468/(18360 - 6120 ) * 100 => 28.333...%

Hence answer will be (C)

PS : arhumsid Best approach for this problem ( Without use of actual calculation )
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Re: A library branch originally contained 18360 volumes, 30% of which were [#permalink]

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New post 16 Aug 2017, 08:01
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Re: A library branch originally contained 18360 volumes, 30% of which were   [#permalink] 16 Aug 2017, 08:01
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