Put into bat, Rajasthan were off to a poor start as opener Pranay Sharma (0) left without bothering the scorers. He was caught behind off paceman Basant Mohanty in the third over of the day.
Robin Bist (10) was trapped by medium fast bowler Deepak Behera (2/35) and talented Ashok Menaria became the second victim of Mohanty.
The visitors also lost Rajesh Bishnoi (11) and Puneet Yadav (15) to be tottering 85 for five.
Saxena has faced so far 250 balls and helped himself with 10 shots to the fence while Bist took 141 balls in his patient knock, which had eight boundaries.
Brief Scores:
Rajasthan: 191 for 5 in 90 overs.(Vineet Saxena 87 batting, Chetan Bist 51 batting; Basant Mohanty 2/37, Deepak Behera 2/35).