Parkar, who returned with the impressive figures of 3-22, was superbly aided by all other bowlers - Shivam Dube (2-7), Parikshit Valsangkar (2-22), experienced Shardul Thakur (1-13) and Dhawal Kulkarni (1-20).
Another opener Ruturaj Gaikwad (3) and experienced Ankit Bawne (9) too fell cheaply.
The Mumbai bowlers took wickets and never allowed the opposition batsman to set in.
The experienced Siddhesh Lad, who was the team's crisis man in the Ranji Trophy this year, chipped in with a valuable 25 off 15 balls and steadied their ship after the side was tottering at 17 for 2.
In the second match of the day, Baroda defeated Saurashtra by 8 wickets to bag four points.
Electing to bat, Saurashtra were all out for 131 in 19.5 overs as Baroda bowlers wrecked havoc. Atit Sheth was the pick of the bowlers as he grabbed 2 wickets conceding 18 runs.
Chasing 131, Baroda opener Kedar Devdhar made a brisk unbeaten 62 in 48 balls, lacing seven fours and a six, to guide his team home.
One down Krunal Pandya (25 off 21 balls) chipped in with crucial runs and the remaining job was done by Hooda, who remained unbeaten on 32 in 20 balls, with Devdhar.
Hooda struck two fours and as many sixes as Saurashtra bowlers were taken to task.
For Saurashtra, Shaurya Sanandia (1-23) and Chirag Jani (1-17) picked a wicket each.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)