Bangladesh managed to put 173 runs on the scoreboard before the Mashrafe side were all out against India in their opening Super Four match of the Asia Cup.
The top order batsmen failed to do their part with Mehidy Hasan Miraz scoring 47, the highest in Bangladesh Innings and skipper Mashrafe added 26, the second highest.
Rabindra Jadeja took four wickets for India while Bumrah and Bhuvneshwar claimed three wickets each.
Earlier, Indian captain Rohit Sharma won the toss and sent Bangladesh to bat in Dubai on Friday.
Mushfiqur Rahim and Mustafizur Rahman were brought back in the squad for this super four match in place of Mominul Haque and Abu Hider.
Ravindra Jadeja, the highest wicket-taker for India, made it to the squad after Hardik Pandya was ruled out of the tournament with a back injury.
Bangladeshi batsmen suffered another batting disaster in Friday's match against India.
Bangladesh came to this super-four match after playing against Afghanistan the previous day.
Bangladesh Squad: Liton Das, Nazmul Hossain, Shakib Al Hasan, Mushfiqur Rahim (wk), Mohammad Mithun, Mahmudullah, Mosaddek Hossain, Mehidy Hasan, Mashrafe Mortaza (capt), Rubel Hossain and Mustafizur Rahman.
India Squad: Rohit Sharma (capt), Shikhar Dhawan, Ambati Rayudu, Dinesh Karthik, MS Dhoni (wk), Kedar Jadhav, Ravindra Jadeja, Bhuvneshwar Kumar, Kuldeep Yadav, Jasprit Bumrah and Yuzvendra Chahal.