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DC skipper David Warner and CSK all-rounder Ravindra Jadeja were in the thick of action.
The win took PBKS to 12 points from as many games, just outside the top four, while it was the end of the road for DC.
DC bowlers produced a splendid performance to defend a modest total of 130/8.
Although not every piece of equipment was found, it is still a welcoming development and big relief for the DC players.
Warner has been under pressure after a poor run of form with the bat but returned after injury to the 17-man squad for the June 7 WTC final against India at The Oval and the first two Ahses Tests against England at Edgbaston and Lord's.
This was Delhi's fifth consecutive loss, while RCB got back to winning ways with their second victory from four games.
The 36-year old Warner steps in as skipper for injured Rishabh Pant, who is currently undergoing rehab and recovery after surviving a horrific car crash last year.
Pat Cummins, who also flew home from India after the drubbing in Delhi because of a family illness, will captain the team in a series that will help Australia prepare for the World Cup in India later this year.
Paceman Josh Hazlewood has already been ruled out with an Achilles injury.
In the 10th over of the Australian innings on Friday, Warner was struck on the head by a Mohammed Siraj delivery.