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.
UEFA, AFC, CONCACAF hit out at Infantino over World Cup stake sale
European football's governing body UEFA, the Asian Football Confederation and CONCACAF issued an open letter on Monday attacking FIFA chief Gianni Infantino's conduct during the proposed sale of a stake in World Cup commercial rights.
Malawi book first-ever place at Women's World Cup
Malawi has continued its fairytale debut at the Women’s Africa Cup of Nations, coming from behind to beat Ghana 2-1 in Sunday’s last quarter-final, which also secured them a spot in the World Cup for the first time.
All Blacks lose Proctor to fractured shoulder on South Africa tour
New Zealand centre Billy Proctor will return home from his side's tour of South Africa after scans revealed a fractured shoulder sustained in the 38-21 victory over the Stormers in Cape Town on Friday.
Sinner withdraws from Cincinnati Open with knee injury
World number one Jannik Sinner has pulled out of the Cincinnati Open with a right knee injury, tournament organisers said on Sunday, handing the Italian a blow in his preparations for this month's US Open.
Khan replaces Sudharsan in India's squad for Sri Lanka tests
India batter Sai Sudharsan has been ruled out of the test series against Sri Lanka due to a toe injury, the Board of Control for Cricket in India (BCCI) said on Sunday.
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