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tejhpamarthi
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A particular library has 75 books in a special collection 15 Nov 2010, 17:12
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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
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A particular library has 75 books in a special collection 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
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A particular library has 75 books in a special collection 15 Jun 2013, 05:59
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krushna
there are 7 books less(75-68) which represents 35% of the loaned books (100-65)
So total loaned out books = 20
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I didn't understand How did we get 100?
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Bunuel
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A particular library has 75 books in a special collection 15 Jun 2013, 06:06
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fozzzy
krushna
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?
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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

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.

Answer: A.
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A particular library has 75 books in a special collection 01 Dec 2025, 00:58
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With given data, we can form the equation 75 - x(books loaned out) + 65% of x(books returned) = 68. And then solve for x.
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APitt1995
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A particular library has 75 books in a special collection 01 Dec 2025, 11:17
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75 - 68 = 7 which equals the % not returned. And if 65% were returned, 7 = the remainder of this so 35%. And then I just kept doubling.. 7 = 35%, 14 = 70% 21 = 105%.. Therefore must be 20 = 100% of books loaned.
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