Chand, playing his second match of the tournament, produced the timey knock after in-form Rishabh Pant (13) and veteran Gautam Gambhir (27) got out cheaply as Delhi put on board 153 for six.
In reply, Rajasthan were bundled out for 112 in 19.1 overs as their batting crumbled after opener Aditya Garhwal departed for 52 in 36 balls in the 12th over.
Left-arm pacer Sangwan bowled a tidy 2 for 14, while Kulwant Khejoriya (2/24) and Pawan Negi (2/21) also chipped in with two wickets each.
Gambhir, who had a miserable tournament so far, showed glimpses of his vintage form with four elegant boundaries and a six before being foxed by leg-spinner Rahul Chahar.
More From This Section
In a space of two balls, medium pacer Khaleel Ahmed dismissed Pant with a sharp delivery that rose awkwardly and induced a top edge to be caught behind.
Dhruv Shorey andChand built a vital 48-run partnership for the third wicket. Chand, who got out for zero in the last match against Uttar Pradesh, looked confident right from the start.
Chand was caught on 48 off Khaleel, but it was ruled a no ball. However, Khaleel had the last laugh trapping the young- turk lbw his next over.
In reply, Rajasthans charge was led by young Garhwal to reach his 50 off 31 balls.
With the asking rate going past nine runs per over, Garhwal tried to breakfree against Lalit Yadav and was caught by Nitish Rana at long on.
Mahipal Lomror in company of Tejinder Dhillon tried to push the score but they departed in successive overs to push Rajasthan into further misery.
Brief Scores:
Delhi 153 for 6 in 20 overs (Unmukt Chand 53, Gautam Gambhir 27; Khaleel Ahmed 2/23, Rahul Chahar 2/31) beat Rajasthan 112 in 19.1 overs (Aditya Garhwal 52; Pradeep Sangwan 2/14, Pawan Negi 2/21, Kulwant Khejroliya 2/24) by 41 runs.