India beat Australia by an innings in first Test
Spinner Ravichandran Ashwin took 5-37 as the tourists, needing 223 to make India bat again, were bowled out for 91 in their second innings in Nagpur.
Steve Smith was left unbeaten on 25 as Australian wickets tumbled around him.
India, who began the day on 321-7, were eventually bowled out for 400, debutant Aussie spinner Todd Murphy taking two more wickets to finish with 7-124.
He bowled Ravindra Jadeja for 70 to end an 88-run stand with Axar Patel, who then fell to captain Pat Cummins for 84.
Read More: Australia T20 captain Finch announces retirement
Victoria off-spinner Murphy rounded off an impressive personal display with the final India wicket, as Mohammed Shami was caught behind after making 37 from 47 balls.
Opener Usman Khawaja was caught by Virat Kohli for five off Ashwin in only the second over of Australia's second innings, which quickly unravelled from there.
The tourists collapsed in just under two hours as Ashwin ended with eight wickets in the match, with fellow spinner Jadeja taking 2-34.
Source: BBC