RCB's Aaron finished with impressive figures of 3/16, while Chris Lynn (45) and Jacques Kallis (43) were the major contributors with the bat for KKR.
Sent into bat, Kolkata Kinght Riders were off to another disastrous, losing skipper Gautam Gambhir for duck for the third straight time in the ongoing seventh edition of the cash-rich event.
An 80-run second-wicket partnership between Kallis and Lynn ensued, before three quick wickets pegged the former champions back.
The only difference with Gambhir's dismissal this time around was that he was out for a golden duck, trapped in front of the wicket by a fast and full Mitchell Starc delivery off the third ball of the innings.
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RCB's move to introduce Muttiah Muralitharan into the attack in the seventh over backfired, as the Sri Lankan veteran was smashed for two sixes by Lynn in his first over.
Kallis swept Muralitharan over deep square leg after Lynn whacked Yuzvendra Chahal for a maximum over deep midwicket, where Starc completed the catch only to touch the ropes.
The association was brought to an end after Aaron's re-introduction. With the spinners going for runs, bringing back the pacer proved to be a successful move. Lynn's flat-batted hit failed to clear A B de Villiers at long-off.
Having used quite a few deliveries, Kallis fell while going for a biggie against Chahal.