The Trinidadian, the only player to have scored a century this season, looked set for another big score but perished in the 17th over while trying to hit a big shot and was caught at long on by Suresh Raina off Jadeja.
Simmons added 44 runs with skipper Rohit Sharma for the third wicket but the latter too returned to the pavilion after five deliveries. Sharma's 20 comprised three fours.
Burly West Indian Kieron Pollard chanced his arm to hit a four and a six in his 14 but his departure triggered a batting order collapse as Mumbai started losing wickets in a clutch while trying to pace their innings.
Mumbai lost Pollard, Aditya Tare (0), Ambati Rayudu (2), Praveen Kumar (1) in quick succession to find themselves reduced to 166 for eight after the Simmons' departure at 163.
Mohit Sharma was expensive as he gave away 42 runs in his four overs but the Haryana pacer picked up three wickets, after conceding 25 runs in his first two overs. Ashish Nehra and Jadeja picked up two wickets a piece.
