Earlier, Ravindra Jadeja performed with the bat during the first innings when he scored 54 runs off just 55 balls.
Middle-order batsman Peter Handscomb stood tall in front of his wicket to help Australia draw the third Test at the JSCA International Complex, Ranchi that concluded on Monday.
94 Handscomb's control percentage in his unbeaten 72 off 200 balls. The two sides will now lock horns in the final match in Dharamsala beginning March 25.
There will now be renewed confidence in the Australian camp they can retain the Border-Gavaskar Trophy when this stirring series reaches its climax in the foothills of the Himalayas in Dharamsala. "Marsh and Handscomb batted very well".
Premier off-spinner Ravichandran Ashwin was a major disappointment for the home team.
For the Australian squad the day remained fruitful with Cummins taking four wickets and Hazelwood one.
Wicketkeeper-batsman Matthew Wade (9*) was batting alongside Handscomb when the day concluded with Australia at 204/6.
The Australians found themselves at a rather precarious 63/4 in a gripping end to the first session on the fifth and final day.
Not long after Renshaw was sent on his way, India got the scalp they so desperately needed to stamp their authority on the third Test.
"There's always a bit of tension when you're playing Australia-India in test matches", he said.
Australia showed plenty of character after spending 210 hours on the field. We didn't expect a 150 lead. He cleaned up Smith after Ishant's dismissal of Renshaw in an eventful 29th over. Australia's template for victory is usually through brute force in a contrasting approach to the ilk of South Africa, who archetypically methodically grind down opponents into submission.
India started the day at 120 for one, trailing Australia's first innings total by 331 more runs. He raised his arms to the delivery which turned viciously after landing on the roughs of the bowling footmarks to flatten his offstump.
Social media then picked up on Smith also grabbing his shoulder after he claimed the catch to dismiss Kohli for just six, but photos later emerged debunking that myth, with the hand on Smith's shoulder actually belonging to teammate Peter Handscomb.
Noticing some activity near the sight-screen, Renshaw made a decision to pull out. The ball landed away from Renshaw but the incident led to some exchanges between Sharma and him.
"It was very important for Virat Kohli to be on the field. If he bowled two more he was going to throw the ball off and get himself a new one from one end".
Pumped up after an altercation with Renshaw, Sharma earned the breakthrough for India when he trapped the opener leg-before for 15 with a fuller delivery.