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In a certain school library, 60% of the books are clothbound books.

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In a certain school library, 60% of the books are clothbound books. [#permalink]

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New post 06 Feb 2018, 22:53
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In a certain school library, 60% of the books are clothbound books. If 30% of those are works of fiction, then what percentage of all books in the library are clothbound works of fiction?

(A) 90%

(B) 30%

(C) 20%

(D) 18%

(E) 2%
Spoiler: OA

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In a certain school library, 60% of the books are clothbound books. [#permalink]

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New post 06 Feb 2018, 23:21
Bunuel wrote:
In a certain school library, 60% of the books are clothbound books. If 30% of those are works of fiction, then what percentage of all books in the library are clothbound works of fiction?

(A) 90%

(B) 30%

(C) 20%

(D) 18%

(E) 2%


Assume a number for the total number of books in the school library(100)

Since 60% of the books are cloth bound, the number is \(0.6*100 = 60\)
It is given that 30% of those books are fiction, (i.e) \(0.3*60 = 18\)

Therefore, the cloth-bound fiction books are \(\frac{18}{100}\)or 18%(Option D)
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Re: In a certain school library, 60% of the books are clothbound books. [#permalink]

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New post 07 Feb 2018, 11:24
Bunuel wrote:
In a certain school library, 60% of the books are clothbound books. If 30% of those are works of fiction, then what percentage of all books in the library are clothbound works of fiction?

(A) 90%

(B) 30%

(C) 20%

(D) 18%

(E) 2%

Let there be 100 books

So, 60 books are cloth bound books
Out of 60 books, 18 (ie 30% of 60) are works of fiction

So, 18% of books in the library are clothbound works of fiction, answer will be (D)
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In a certain school library, 60% of the books are clothbound books. [#permalink]

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New post 07 Feb 2018, 23:54
Bunuel wrote:
In a certain school library, 60% of the books are clothbound books. If 30% of those are works of fiction, then what percentage of all books in the library are clothbound works of fiction?

(A) 90%

(B) 30%

(C) 20%

(D) 18%

(E) 2%



Let total no of books be X.
Then
Percentage of books Clothbound fiction =0.3*0.6X / X *100
= 18

Option D.
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Re: In a certain school library, 60% of the books are clothbound books. [#permalink]

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New post 09 Feb 2018, 11:00
Expert's post
Bunuel wrote:
In a certain school library, 60% of the books are clothbound books. If 30% of those are works of fiction, then what percentage of all books in the library are clothbound works of fiction?

(A) 90%

(B) 30%

(C) 20%

(D) 18%

(E) 2%


We can let the number of books = n; thus:

0.6 x 0.3 x n = 0.18n = clothbound books that are fiction

Thus, 18% of the books are clothbound books that are fiction.

Answer: D
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Re: In a certain school library, 60% of the books are clothbound books.   [#permalink] 09 Feb 2018, 11:00
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