Chasing a paltry target of 119, Daredevils romped home with 6.1 overs to spare as openers Mayank Agarwal (52 not out) and Shreyas Iyer (54) put on a comfortable 106-run partnership for the first wicket to seal the issue in style.
The home team could not have asked for a better performance from their bowlers in their last home match as they restricted Punjab to 118 for eight after winning the toss.
After Zaheer blew the top two away, Coulter-Nile caused a lot of damage in the middle and lower order with figures of 4/20 in four overs as it deservingly earned him man-of-the match award.
There was not much KXIP could have done after putting on board such a total and Delhi easily crossed the finishing line without much fuss.
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Needing under six runs an over, Iyer and Agarwal went abut their business calmly. Iyer's 54 came off 40 balls with four fours and three sixes while Agarwal's faced 40 balls in his knock and hit six fours and six.
The Kotla pitch had good bounce to assist the bowlers even as there were no demons in it and largely Punjab batsmen were responsible for team's misery as they did not apply themselves well.
KXIP can thank David Miller (42) and Axar Patel (22) as their 57-run partnership for seventh wicket helped them cross the 100-run mark as they were tottering at 45 for six at halfway stage.
Apart from the duo, only skipper George Bailey (18) reached the double-digit mark before being trapped by Amit Mishra.