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# CAT 2019 Quant Question with Solution 51

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?

1. 6000
2. 6160
3. 5500
4. 6600

Let there number of fiction and non fiction books in 2010 be x and y respectively.

From the first condition:

$x+y=11500 \cdots(1)$

From the second condition:

$1.1 \times x+1.2 \times y=11500 \cdots(2)$

Solving both the equations, we get x = 6000.

In 2015, the number of fiction books = 1.1x = 6600

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