Rajasthan posted 160 for seven courtesy a solid batting effort before restricting Uttar Pradesh for 144 for 9 in 20 overs.
UP Opener Prashant Gupta's 59 went in vain as did the bowling effort of pacer R P Singh, who took two wickets for 27 in four overs.
Manjeet Singh played an important knock for Rajasthan towards the end of the innings, smashing an unbeaten 31 off 11 balls.
In another match at the Holkar Stadium here, Madhya Pradesh edged Railways by four runs for their first win the T20 tournament.
Railways, playing their first game of the competition, fell short despite a spirited chase highlighted best by a blistering 67 off 47 balls from Arindam Ghosh.
In the end, Ghosh's run out in the 17th over proved costly for Railways.
Brief scores: Rajasthan 160/7 in 20 overs (Aditya Garhwal 33, Puneet Yadav 27, Manjeet Singh 37 not out; RP Singh 2/27). Uttar Pradesh 144/9 in 20 overs (Prashant Gupta 59, Rinku Singh 34; Aniket Choudhary 2/21, Manjeet Singh 2/19).
Brief scores: Madhya Pradesh 168/6 in 20 overs (Mohnish Mishra; Anureet Singh 2/40; Krishnakant Upadhyay 2/34). Railways 164/6 in 20 overs (Arindam Ghosh 67; Ishwar Pandey 1/43, Jatin Sazena 1/15).
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