Explanation: There are different traditions regarding the foundation of the Vijayanagar kingdom.

• It is now generally accepted, on the basis of contemporary inscriptions, that the two brothers Harihara and Bukka, the eldest sons of one Sangama, earlier serving the Hoysala rulers of Karnataka, asserted their independence and laid foundation for a new kingdom in about 1336.
• This happened soon after the death of the Hoysala king Ballala III at the hands of the Madurai Sultan.

Source: Tamil Nadu NCERT