Chasing a target of 199, Mohamed Amman-led India was dismissed for 139 with more than 14 overs to spare.
Amaan (26), Hardik Raj (24), KP Karthikeya (21) and C Andre Siddarth (20) were the only Indian batters who tried to build their innings. Six batters failed to cross the double-digit mark.
For Bangladesh, Iqbal Hossain Emon and Azizul Hakim took three wickets each.
After being asked to bat first, Bangladesh post 198 on the scoreboard courtesy important contributions from Mohammad Shihab James (40), Rizan Hossan (47) and Farid Hasan (39).
The pace duo of Yudhajit Guha and Chetan Sharma, and spinner Hardik picked two wickets each.