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KKR are assured of a top two finish with 19 points from 13 games and a place in Qualifier 1.
Captain Gill made 104 off 55 while Sudharsan smashed a 51-ball 103
RCB moved up to seventh place with eight points from 11 games and kept their slim playoffs hopes alive. GT, on the other hand, slipped to ninth spot.
Earlier, RCB dished out a disciplined bowling effort to bowl out GT for a modest 147..
Opener Kohli (70 not out) and one-down Jacks (100 not out) shared 166 runs for the unbroken second wicket to overhaul the target of 201 with 24 balls to spare.
Kohli smashed an unbeaten 70 off 44 balls and used the sweep shot to good effect against the Gujarat Titans spinners.
Mohit, who is usually a reliable death bowler, was taken to the cleaners by DC captain Rishabh Pant in the final over of the innings.
The victory lifted DC to sixth place with eight points from nine games, while GT slumped to seventh with eight points from nine matches.
Pant scored an unbeaten 88 as Delhi Capitals posted 224/4 before winning by 4 runs.
With 42 runs to get off 30 balls, Titans eventually recorded a comfortable win in 19.1 overs courtesy a pressure releasing cameo from Rahul Tewatia (36 not out off 16).