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'I have made peace with that decision and whilst I never wish to disappoint, that door is now closed and I will be supporting the guys who take the field in June for West Indies,' said Narine.
Kohli was hauled up for expressing dissent against the umpire's decision.
The ball's projected height was found to be lower than Kohli's waist, leading to the third umpire ruling him out.
KKR jumped to second spot in the standings with 10 points from seven games, while RCB remain at the bottom with just two points from eight outings.
RCB were bowled out for 221 in their pursuit of 223 despite three sixes by Karn Sharma off Mitchell Starc in the final over.
Kohli was caught and bowled by Harshit Rana off a full toss for 18 in RCB's chase of 223. Kohli, who was batting outside his crease, was quick to refer for a no-ball.
Jos Buttler hit an unbeaten 60-ball 107 as Rajasthan Royals chased down a record target of 224.
Chasing a target of 162, Salt added 120 with captain Shreyas Iyer for the unbroken thrid wicket as KKR romped home in 15.4 overs.
CSK returned to winning ways with a 7-wicket win over KKR in Chennai.
Set an imposing 273-run target, DC were bundled out for 166 in 17.2 overs.