Needing 96 runs for a win, Vidarbha reached the target 16 minutes before lunch, losing only three wickets in the process.
Alind Naidu remained not out on 33 while Amit Deshpande made 34. Off spinner Rahul Kawat claimed 2 wickets for 17 runs.
Vidarbha, who dominated the match right from the word go, had taken crucial 56-run first innings lead and bundled out Rajasthan for a paltry 151 in their second innings.
Brief scores: Rajasthan (1st innings) 101; Vidarbha (1st innings) 157; Rajasthan (2nd innings) 151; Vidarbha (2nd innings) 96/3 (Amit Deshpande 34, Alind Naidu 33 not out, B Yadav not out 0; Rahul Kanwat 2-17).