Aaron Finch smashed a four off Bumrah in a positive start but once again Australia's limited overs captain failed as a Test opener. The next pair then batted with more patience and cut down on attacking strokes for the next hour.
The most extended partnership was between Pat Cummins (17 runs) and Tim Paine of just 36 runs. It could have been different, but Cummins was dropped on 2 by wicketkeeper Rishabh Pant off Hanuma Vihari in the 50th over. Mohammed Shami is the new batsman.
Starting at the overnight score of 8 for no loss, Australia were under the pump early on as Ishant Sharma (1/41) and Bumrah made life hard for the batsmen with their immaculate line and length.
Earlier, riding on Jasprit Bumrah's fierce bowling, India bowled Australia for 151 runs, taking 292 runs lead in the first innings.
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Kohli's decision to bat after bowling out the Aussies came as a big shock.
Having tormented the home batsmen with a slew of deliveries that bounced and spun viciously out of a foot-mark, the wily left-arm spinner will look forward to facing Australia's troubled parade of left-handers again. The pace of scoring hadn't changed from the first two days, but it was pretty obvious that the nature of pitch was vastly different as India pressed home their advantage.
Kohli soon introduced Jadeja, however, who had tied Khawaja in knots in the first innings before having him caught for 21. Marcus Harris (22), who had been struck on his helmet by Bumrah on Thursday, was out top-edging an intended hook to Ishant on the fine-leg boundary. They used good footwork against Jadeja to smother the possibility of turn from the rough.
He left Australia in huge trouble at 89-4 at lunch, trapping Shaun Marsh for 19 with the last ball of the session, a slower full toss that hammered into the lefthander's pads. India score was at 54 for five at the end of the third day's play, but the visitors have a second innings lead of 346 runs.