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?
Explanation:
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 × 10100 + (11500 - f) × 12100 = 1260
10f + 12 × 11500 – 12f = 126000
x = 6000 books
So, Fiction books in 2015, 6000 + 600 = 6600 books
Hence, option (a).
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