Quantitative Aptitude – Arithmetic – Percentage


Slot – 2 – Quantitative Aptitude – Arithmetic – Percentage – In 2010, a library contained a total of 11500

Q. 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
Answer: 6600

Solution: In 2010:
Fiction = x
Non fiction = 11500-x
In 2015:
Fiction = 1.1x
Non fiction = 1.2(11500-x)
But in 2015, total books are 12760
So, 1.1x + 1.2(11500-x) = 12760
On solving, we get Number of fiction books in the library in 2015 is 1.1x = 6600

Online Coaching Course for CAT 2020

a) 900+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video