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.

Question

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?

Accepted Answer

6600 — In 2010 : Total books = 11500 Let the number of fiction books be f, non-fiction books will be (11500 - f) In 2015 : Total books = 12760 Increase in total number of books = 12760 - 11500 = 1260 Fiction books increase by 10%, non-fiction books increase by 12%. Hence, f &times; 10 100 + (11500 - f) &times; 12 100 = 1260 10f + 12 &times; 11500 &ndash; 12f = 126000 x = 6000 books So, Fiction books in 2015, 6000 + 600 = 6600 books Hence, option (a).

CAT 2019 Slot 2 — QA Question 9

Answer & solution