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At Joel’s bookstore, the current inventory is 40% historical fiction.

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At Joel’s bookstore, the current inventory is 40% historical fiction. [#permalink]

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New post 07 Mar 2016, 09:06
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At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 50% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?

A. 4/25
B. 8/23
C. 2/5
D. 8/15
E. 2/3
[Reveal] Spoiler: OA

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Re: At Joel’s bookstore, the current inventory is 40% historical fiction. [#permalink]

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New post 07 Mar 2016, 20:59
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Out of 100 books 40 are historical fiction, and out of this 40%, i.e. 16 are new releases.

While out of remaining 60, 30 are new releases. SO total new releases are 46 and the asked fraction will be 16/46= 8/23

Hence 'B' is the answer.
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Re: At Joel’s bookstore, the current inventory is 40% historical fiction. [#permalink]

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New post 07 Mar 2016, 23:27
let there be 100 books in all
Historic fiction books = 40% of total = 40
Other books = 60
New historic fiction = 40% of 40 = 16
Other new books = 50% of 60 = 30
total new books = 30+16 = 46
fraction = 16/46 = 6/23

Ans: B

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Re: At Joel’s bookstore, the current inventory is 40% historical fiction. [#permalink]

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New post 12 Jul 2017, 14:02
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Re: At Joel’s bookstore, the current inventory is 40% historical fiction. [#permalink]

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New post 11 Aug 2017, 23:44
Let's assume Total Books= 100

Historical fiction = 40 , Out of which New Releases(40%) = 16

Other Books= 100-40 = 60, Out of which New Releases = 50% = 30.

Total New Releases = 16+30 = 46.

Historical NR/ Total NR = 16/46 = 8/23 .

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Re: At Joel’s bookstore, the current inventory is 40% historical fiction. [#permalink]

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New post 12 Aug 2017, 10:48
Number of books = 100

Historical fictions = 40% = 40
New = 40% of 40 = 16.

Remaining = 60.
New among them = 50% = 30

So, fraction of all new releases which are the historical fiction new releases = 16/(16+30) = 16/46 = 8/23

Kudos [?]: 9 [0], given: 149

Re: At Joel’s bookstore, the current inventory is 40% historical fiction.   [#permalink] 12 Aug 2017, 10:48
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At Joel’s bookstore, the current inventory is 40% historical fiction.

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