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A particular library has 75 books in a special collection

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Intern
Joined: 22 Sep 2010
Posts: 8
A particular library has 75 books in a special collection  [#permalink]

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15 Nov 2010, 17:12
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Difficulty:

25% (medium)

Question Stats:

76% (02:11) correct 24% (02:43) wrong based on 160 sessions

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A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 68 books in the special collection at that time, how many books of the special collection were loaned out during that month?

A. 20
B. 30
C. 35
D. 40
E. 55
Intern
Joined: 30 Sep 2010
Posts: 46

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15 Nov 2010, 17:45
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there are 7 books less(75-68) which represents 35% of the loaned books (100-65)
So total loaned out books = 20
Director
Joined: 29 Nov 2012
Posts: 685

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15 Jun 2013, 05:59
krushna wrote:
there are 7 books less(75-68) which represents 35% of the loaned books (100-65)
So total loaned out books = 20

I didn't understand How did we get 100?
Math Expert
Joined: 02 Sep 2009
Posts: 59722

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15 Jun 2013, 06:06
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fozzzy wrote:
krushna wrote:
there are 7 books less(75-68) which represents 35% of the loaned books (100-65)
So total loaned out books = 20

I didn't understand How did we get 100?

A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 68 books in the special collection at that time, how many books of the special collection were loaned out during that month?

A. 20
B. 30
C. 35
D. 40
E. 55

Total = 75 books.

65% of books that were loaned out are returned --> 100%-65%=35% of books that were loaned out are NOT returned.
Now, there are 68 books, thus 76-68=7 books are NOT returned.

{loaned out}*0.35=7 --> {loaned out}=20.

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Re: A particular library has 75 books in a special collection  [#permalink]

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23 Nov 2019, 11:39
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Re: A particular library has 75 books in a special collection   [#permalink] 23 Nov 2019, 11:39
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