Bangalore has definitely won more matches than Kolkata but Kolkata has won an IPL championship unlike Bangalore. On head to head though, KKR has an edge as they have won 12 out of 21 matches played between them. The 1st match of the inaugural IPL was also played between these 2 sides with KKR winning by 140 runs with Brendon Mccullum remaining unbeaten on 158.
Also from Kohli's spat with Gambhir to Gayle's departure and eventual success at RCB, everything just adds up to this amazing rivalry. RCB would like to make the amends and level score against KKR in this year IPL as KKR would be without Gautam Gambhir who will captain Delhi Daredevils in the 11th edition of the IPL.
Total matches played - 21
Won by RCB- 9
Won by KKR - 12
No result - 0