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Kohli (113 not out off 72 balls) scored his century off 67 balls and added 125 runs with skipper Faf du Plessis (44 off 33 balls) but 183 was never going to be enough as they never really upped the ante.
For Rajasthan Royals, spinners Yuzvendra Chahal (2/34 in 4 overs) and Ravichandran Ashwin (0/28 on 4 overs) were the best bowlers on view as they never allowed RCB batters to chance their arms freely.
Royals reached the target with five balls to spare as Jos Buttler roared back to form with an unbeaten 100 and also had skipper Sanju Samson (69 off 42 balls) for company.
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RCB 183 for 3 in 20 overs (Virat Kohli 113 not out, Faf du Plessis 44, Yuzvendra Chahal 2/34).
RR 189 for 4 in 19.1 overs (Jos Buttler 100 not out, Sanju Samson 69 off 42 balls).