India posted 571 in reply to Australia's first-innings total of 480 to claim a 91-run lead in the fourth and final Test on Sunday.
Virat Kohli top-scored for the home side with a mammoth 186 while opener Shubman Gill (128) also smashed a hundred.
Spinners Nathan Lyon and Todd Murphy claimed three wickets apiece for Australia.
For India, who lead the series 2-1, Shreyas Iyer could not bat because of back pain.
McIlroy joins elite club with back-to-back Masters wins
Defending champion Rory McIlroy won the Masters by one shot over Scottie Scheffler on Sunday to collect his sixth major and become the fourth repeat winner at Augusta National and first since Tiger Woods in 2002.
Man City thump Chelsea to move closer to Arsenal
Manchester City reignited the Premier League title race on Sunday, scoring three goals in 17 second-half minutes to crush Chelsea at Stamford Bridge and move within six points of leaders Arsenal.
Inter extend Serie A lead after fight back against Como
Marcus Thuram and Denzel Dumfries scored twice each as Inter Milan rallied from two goals down to beat Como 4-3 away on Sunday and extend their lead at the top of Serie A to nine points.
Sinner beats Alcaraz in Monte Carlo final to top rankings
Italy's Jannik Sinner dethroned defending champion Carlos Alcaraz 7-6(5) 6-3 in Sunday's Monte Carlo final to claim his first Masters title on clay and snatch back the world number one ranking from the Spaniard.
Tottenham stay in bottom three after defeat by Sunderland
Tottenham Hotspur's relegation fears deepened as manager Roberto de Zerbi's first game in charge ended in a 1-0 defeat by Sunderland that left the London club third from bottom of the Premier League on Sunday.
