CAT 2019 Shift 2 Paper

Question : 80 of 100

Marks: +1, -0

In 2010, a library contained a total of 11500 books in two categories - fiction and non- fiction. 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?

6600
6000
6160
5500

Validate

Solution:

Let there number of fiction and non fiction books in 2010 be

{x}

and

{y}

respectively.
From the first condition:

x+y=11500 .....(1)

From the second condition:

1.1 × x+1.2 × y=11500.....(2)

Solving both the equations, we get

x=6000

.
In 2015 , the number of fiction books

=1.1 {x}=6600

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