All-rounder Kieron Pollard smashed 87 off only 34 balls in a dramatic victory for the defending IPL champions.
Ruturaj Gaikwad made 75 and Faf du Plessis contributed 56 as Chennai Super Kings eased to a seven-wicket win on Wednesday.
Chennai Super Kings will end Wednesday on top of the IPL, despite the best efforts of KKR duo Andre Russell and Pat Cummins.
Jos Buttler made 49 but Rajasthan Royals came up well short against Chennai Super Kings, whose spinners made a huge impact.
Chennai Super Kings dispatched Punjab Kings with little difficulty thanks to the bowling of Deepak Chahar and two experienced batsmen.
Chennai Super Kings recovered to post 188-7 after losing early wickets but Shikhar Dhawan and Prithvi Shaw fired Delhi Capitals to victory.
Ahead of the new IPL season, take a look at six players who could make an impact for their respective teams in 2021.
South Africa all-rounder Chris Morris was in demand at the IPL auction, Rajasthan Royals spending big to secure his services.
Former Australia all-rounder Shane Watson has ended his playing career after appearing for Chennai Super Kings in the IPL.
Kings XI Punjab were denied a place in the Indian Premier League play-offs after Sunday's nine-wicket defeat to Chennai Super Kings.