Ravindra Jadeja (2/28) and Moeen Ali (3/7) helped CSK beat RR by 45 runs in the IPL match at Wankhede Stadium on Monday.
Ravindra Jadeja also took 4 catches to pin Rajasthan Royals down.
Chasing a target of 188/9 set by CSK, RR lost its skipper Sanju Samson early but was still in the hunt until 11th over at 87/2 but RR lost five wickets within eight runs and 19 balls.
RR was reduced to 95/7 in 14.1 overs.
Finally, RR only managed 143/9 in 20 years losing the match by 45 runs.
Final score CSK 188/9 & RR 143/9.