Shyam has GK books and his friend Ratan has GK books. The ratio of Shyam's GK book to those of Ratan is
Shyam has GK books and Ratan has GK books.
So, the ratio of Shyam's GK books to those of Ratan is
[ Dividing its numerator and denominator by ]
we get
Hence, OPTION (ii) is correct.