Question 21
In 2010, a library contained a total of 11500 books in two categories - fiction and nonfiction. In 2015, the library contained a total of 12760 books in these two categories. During this period, there was 10% increase in the fiction category while there was 12% increase in the non-fiction category. How many fiction books were in the library in 2015?
Solution
Let the number of fiction and non-fiction books in 2010 = 100a, 100b respectively
It is given that the total number of books in 2010 = 11500
100a+100b = 11500 -------Eq 1
The number of fiction and non-fiction books in 2015 = 110a, 112b respectively
110a+112b = 12760 -------Eq 2
On solving both the equations we get, b=55, a= 60
The number of fiction books in 2015 = 110*60=6600
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