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Keats Library purchases a number of new books, all in the category of biography; the library does

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Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased?
 
A) 17.5%
B) 62.5%
C) 87.5%
D) 140%
E) 150%
Official Answer

1 Best Answer

teacher.rkvimal
2
Best answer

Let the initial number of books be X out of which A are biographies.

Given : A/X = 20% or 1/5 . Hence A = X/5

Let the new no of biographies added be Y.

Given (A+Y)/(X+Y) = 37.5% or 3/8 which gives Y = (7/25)X

Hence increase in biographies = Y/X = 7/5 or 140%

answered Aug 1, 2014 by Associate (163 points)
selected Aug 1, 2014 by
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