West Indies failed to regain a foothold in the first Test on day three as India pair Virat Kohli and Ajinkya Rahane combined to good effect.
Rajasthan Royals failed to defend 115-9 as Amit Mishra's 3-17 and Rishabh Pant's unbeaten half-century saw Delhi Capitals to victory.
Rishabh Pant was Delhi Capitals' hero after Ajinkya Rahane showed he is not feeling sorry for himself having lost the Royals captaincy.
Despite going 16 months without a Test hundred, Ajinkya Rahane is very confident he can reach three figures at the MCG this week.
Ishant Sharma feels confident after Virat Kohli starred for India in Perth, but he also hailed Cheteshwar Pujara and Ajinkya Rahane.
India were 82-3 in their first innings, but Virat Kohli and Ajinkya Rahane's unbroken 90-run stand helped repel Australia's attack.
West Indies' hopes of levelling their two-Test series with India were significantly dented as the hosts took charge in Hyderabad.
Prithvi Shaw became the youngest Indian to score a hundred on Test debut as West Indies toiled on day one in Rajkot.
England were too good for India, concedes Ajinkya Rahane, as they wrapped up the Test series with a game to spare.
Moeen Ali claimed nine wickets in the match as England defeated India at the Rose Bowl to take an unassailable 3-1 lead in the series.