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by srcc25anu » Mon Mar 28, 2011 7:54 pm
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?

22
20
16
14
7

OA - B
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by manpsingh87 » Mon Mar 28, 2011 8:20 pm
srcc25anu wrote: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?

22
20
16
14
7

OA - B
let the books loaned out be x, and books not loaned out be y,

therefore x+y=75;----------1)

also as 65% of the books that were loaned out are returned therefore,

.65x+y=68,---------------2)

subtracting 1 and 2 we have,,
.35x=7
x=20,

hence B
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by Tani » Tue Mar 29, 2011 1:49 pm
Looked at another way, if 65% are returned, then 35% are still out. Since 75-68 gives us 7 books out, those 7 books constitute 35% of the total loaned during the month.
7 = 35% of 20

the answer is B
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