Kohli is leading the IPL highest run-getter chart followed by Suresh Raina, Shikhar Dhawan, David Warner and Rohit Sharma.
The 30-year-old left-arm pacer did not feature in the last two games of SRH and he just played two games this season, taking two wickets.
RCB never looked in any tearing hurry and yet the target was achieved in only 16.3 overs with all 10 wickets intact.
On a good batting surface, Royals managed a total which may be 25 runs short but credit for the decent score goes to a counter-attacking effort from all-rounder Shivam Dube.
Despite the loss, Andre Russell hit six maximums in a breathtaking 54 off 22 balls and shared 81 runs off 39 balls with Dinesh Karthik (40) to bring KKR back in the hunt.
Sunrisers have lost three matches on the trot at the MA Chidambaram Stadium track here, which has the reputation of aiding the spinners.
KKR has made two changes as Kamlesh Nagarkoti and Sunil Narine come in for Harbhajan Singh and Shakib Al Hasan.
Chasing the total, Shikhar Dhawan scored a 42-ball 45 and added 53 runs with Steve Smith, who scored 33, for the second wicket.
Last week, Ben Stokes was ruled out of the remainder of the IPL due to a finger injury and he has been sidelined for up to three months.
Opted to bat first, Mumbai Indians got off to a bad start as all-rounder Marcus Stoinis removed Quinton de Kock in the third over with just nine runs on board.
Bravo, who scored 20 not out off 8 balls, smashed a huge six off the last ball of the innings from Mustafizur Rahman (1/37) to ensure the Super Kings got close to 190.
Bangalore believed his close proximity to captain Virat Kohli and the feeling of making him wanted would do a world of good for a player, who had had mental health issues not so long ago.
Mayank Agarwal had top-scored for Punjab with 69 off 36 balls while his opening partner and skipper KL Rahul made 61 off 51 balls, taking them to 195 for four.
According to a report in ESPNcricinfo, the bowling legend has had a stent fitted to unblock his artery.
McCullum admitted it was wrong on their part to take Varun Chakravarthy out of the bowling attack after the latter dismissed Virat Kohli and Rajat Patidar.