We know in the big games runs on the board is always critical no matter what the conditions are," skipper Rohit Sharma told reporters.
"You put runs on the board there is always an additional pressure on the opposition. And also of course our bowling unit has been terrific through the tournament. The way we played today was absolutely perfect."
The Shreyas Iyer-led Delhi will get another crack at qualifying against either Virat Kohli's Royal Challengers Bangalore or Sunrisers Hyderabad, who clash on Friday in an eliminator.
Delhi were reduced to 0-3 after pace spearhead Trent Boult struck twice in his first over with the wickets of Prithvi Shaw and Ajinkya Rahane while fellow quick Bumrah sent back Shikhar Dhawan.
Marcus Stoinis made a valiant 65 including a sixth-wicket partnership of 71 with Axar Patel, who made 42, to put up some resistance for Delhi.
Bumrah kept up the pressure and struck twice in one over including Stoinis, bowled after his 46-ball knock, to go past Delhi quick Kagiso Rabada's 25 scalps this season
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