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.


Raphinha, Fermin score as Barcelona beat Athletic in home opener
Celtic and Rangers to play cup match behind closed doors after pitch invasion
Chelsea and Fulham reach League Cup third round as Welbeck scores on debut
PSG to meet Barca, Man City as Champions League draw throws up marquee ties
Abbas gives Pakistan slight edge as England battle back at Lord's