Question:
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?
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?
Updated On: Aug 26, 2024
- 6000
- 6160
- 5500
- 6600
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The Correct Option is D
Solution and Explanation
Let the number of fiction and non-fiction books in 2010 be represented by x and y, respectively.
From the first condition:
\(x+y=11500 ........... (1)\)
From the second condition:
\(1.1x+1.2y=11500............... (2)\)
Solving both equations, we find that \(x = 6000.\)
In 2015, the number of fiction books is given by \(1.1x=6600.\)
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