The batting pair of Usman Khawaja and Cameron Green were decisive in their approach and made the Indian bowlers toil hard making merry of the excellent batting conditions on offer.
The visitors started well in the first half before the Indian bowlers struck twice. Ravichandran Ashwin got the first wicket while Shami scalped the second. Usman Khawaja 27(94) and Steven Smith 2(17) were at the crease for the Aussie team at lunch.
The hosts made just one change with Mohammed Shami replacing pacer Mohammad Siraj, who was given rest considering his workload. Australia made no changes to their winning team from the third Test.
Rohit Sharma praised the inexperienced Australian duo spinner Todd Murphy and Matthew Kuhnemann. He believes that they have complimented an attacking spinner like Lyon quite well.
It has been a close race between England seamer James Anderson, India veteran Ravichandran Ashwin and Australia captain Pat Cummins in recent weeks and there is now a tie at the top after the ICC updated their weekly rankings list on Wednesday.
While Australia currently trail India 2-1 and have failed to regain the Border-Gavaskar trophy they so dearly crave, they showed plenty of spirit winning their first Test match on Indian soil since 2017 when they registered a comprehensive nine-wicket triumph over their rivals in Indore.
Kohli has managed just 111 runs from five innings during the ongoing Border-Gavaskar against Australia and will once again come up against the same opposition should India clinch the final spot in the World Test Championship decider with a victory in the fourth Test in Ahmedabad this week.
Todd Murphy has been a revelation for Australia in the Border Gavaskar Trophy. His performances have been consistent throughout the BGT series. Australia's Assitant coach Daniel Vettori and the stand-in captain Steve Smith praised him for his extraordinary performance.
Steve Smith stood in as captain for Australia after Pat Cummins flew back home after the second Test in Delhi. Cummins will remain at home in Sydney to be at the side of his mother Maria, who is in palliative care due to breast cancer.
His Test form has been a growing concern since 2022. In 14 matches, Warner has scored just 607 runs at 26.39 which includes a double-century in the Boxing Day Test against South Africa.
During England's Test against New Zealand in Wellington, the group shared a video of their trumpet player playing 'Maria' from West Side Story as a tribute to Cummins' mother Maria.