India's six-wicket win was a reassuringly convincing performance after the side's loss to England on Thursday.
It was built on an impressive display with the ball as Australia were bundled out for just 174 in only 44.3 overs, the second day in succession they failed to bat out their full allocation of overs.
Only captain Moises Henriques offered prolonged resistance among the top-order as he made 44 but in the face of incisive bowling from Ravinder Jadeja, who captured 4-17, Australia were 108-8 at one stage.
They were given some degree of respectability by Simon Keen (30) and Adam Ritchard (22) but the total proved wholly inadequate as India cruised home with 11.2 overs in hand. Opener Cheteshwar Pujara top-scored with 60.