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.
Ronaldo says Portugal coach broke his word, apologises to teammates
Cristiano Ronaldo doesn't think his days playing for Portugal are over despite saying that the head coach lied to him about playing time and the superstar striker bolting from the national squad last week.
Messi signs off in tears after one last Argentina master class
Lionel Messi has delivered one last master class in blue and white on Tuesday as Argentina's captain brought the curtain down on his extraordinary 21-year international career by scoring one goal and setting up two others in a 3-0 friendly win over Benin.
Spain rally to beat Croatia, Kane shines for England in Nations League
World champions Spain have recovered to beat Croatia 2-1 on Tuesday, with Mikel Merino scoring twice to extend their unbeaten run to 42 matches and seal a place in the Nations League quarter-finals on the final night of the fourth round of group-stage action.
Saudi Arabia defeat UAE to clinch Gulf Cup title
Saudi Arabia have been crowned Arabian Gulf Cup champions, beating the UAE 2-0 in the final in Jeddah to claim a fourth regional title.
Djokovic wins China Open as de Minaur retires injured
Novak Djokovic won his seventh China Open title after Australia's Alex de Minaur retired with a groin injury during the final on Tuesday.
