With all eight teams having played 10 matches, Rajasthan moved up to sixth on eight points after winning for the fourth time.
They are taking on Punjab, placed third in the table, just two days after losing to them by six wickets in Indore, where neither the bowlers nor the batsmen could do a convincing job.
Ajinkya Rahane (RR captain), "Really happy with the way we played". Three consecutive defeats, including a narrow one against Delhi Daredevils, has left them demoralised and their mentor, the legendary Shane Warne, too wore a dejected look in the dugout from where he saw Rajasthan miss out on half chances.
But that was it as RR again went without a boundary for 14 deliveries before Samson produced a flat-batted six off Ravichandran Ashiwn, sending the ball over long-off.
RR, on the other hand, rode on Jos Buttler's brilliance with the bat and had scored 63/1 in the first six overs. RR finished their twenty overs at 158-8.
Butter was free-flowing at the top; he found the boundaries easily against pace and spin alike. Jos Buttler's successful promotion to the opening slot came about as an accident in a rain-truncated game, leaving the Royals with much more to ponder about in hindsight.
For Punjab, Andrew Tye was the pick of the bowlers as he scalped 4/34.
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KL Rahul celebrates after scoring a half-century.
WICKET! The partnership is broken thanks to Mujeeb. Joffra Archer and Jaydev Unadkat went out for ducks and Buttler finally wilted as was stumped out for 82 runs.
KL Rahul was outstanding yet again.
They finished on 143-7 even with 16 runs coming off the last over, opener Rahul hitting a six and two fours as he posted his highest score in the Twenty20 competition.
For Rajasthan Royals, the equation can not get any simpler now. However RR could manage just 158 for 8 in 20 overs, as the wicket started getting slow and they lost 6 wickets in the last 6 overs. Mohit Sharma was the least economical with a rate of 9.67, while Mujeeb Ur Rahman was the most economical with figures of 5.25 with 2 wickets.
Mujeebur dismissed Buttler, who was stumped by Rahul, and Sanju Samson (22).
Ashwin promoted himself at No. 3 in an attempt to shield his batsmen from Rajasthan spinners, especially Gowtham, but his decision yielded no result as the Tamil Nadu cricketer was cleaned up by the Karnataka spinner, two balls later.