Nic Maddinson, making his debut match, played some lovely shots during his 34-run knock off 16 balls.
When others were bleeding runs, Vinay Kumar turned proved to be extremely effective, taking 3 for 26 in his four overs.
Ravindra Jadeja, the local boy, varied his pace, picking up 1 for 23 in his four overs.
Aaron Finch took the attack to the opposition from the outset, scoring 89 off just 52 balls.
Shikhar Dhawan made 32 off 19 before getting out stumped to left-arm spinner Xavier Doherty. (BCCI)
Clint McKay provided the early breakthrough to Australia, getting out Rohit Sharma for 8. (BCCI)
Yuvraj struck 77 off 35 balls, his highest score in international Twenty20, as India chased down the target with two balls to spare. (BCCI)
MS Dhoni scored 24 off 21 balls with two boundaries and had a match-winning partnership with Yuvraj Singh. (BCCI)