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.
Hamilton fastest to complete Ferrari's US Grand Prix practice sweep
Lewis Hamilton was the fastest for Ferrari in the final practice session for the US Grand Prix on Saturday, after teammate Charles Leclerc led Friday's two sessions at the Circuit of the Americas in Austin.
Gabriel shines at both ends as Arsenal ease past Everton to go level with Man City
Gabriel Magalhaes has proved Arsenal's hero at both ends of the pitch on Saturday as the reigning champions beat Everton 2-0 to draw level with Manchester City at the Premier League summit.
Jackson double ends Man City's perfect run as Villa win
Aston Villa snapped Manchester City's perfect Premier League run with a 2-1 home victory on Saturday as Nicolas Jackson struck in each half to hand Enzo Maresca's men a damaging defeat.
Varma leads India fightback in four-wicket victory over New Zealand
India's middle-order batter Tilak Varma has hammered a half-century off 25 balls as India chased down a target of 181 with a ball to spare, taking a 2-0 lead in the five-match Twenty20 series with New Zealand on Saturday.
Holder Rybakina sets up Fernandez clash in Ningbo final
Defending Ningbo Open champion Elena Rybakina overcame Russian sixth seed Diana Shnaider 6-3 7-5 in the semi-final on Saturday to reach another title clash and remind rivals of her threat ahead of next month's WTA Finals.
UAE President His Highness Sheikh Mohamed bin Zayed Al Nahyan has offered his sincere condolences to Jordanian King Abdullah II bin Al Hussein in a phone call on Saturday over the victims of an attack targeting a church in Karak governorate.
The UAE has announced an urgent relief response campaign to assist those affected by the earthquake that struck various areas of Panama, causing material damage and widespread evacuations.
Ras Al Khaimah authorities have announced the closure of all beaches across the emirate until further notice.
