Bangladesh will next take on Sri Lanka in the third match of the tournament, which is timed to commemorate the host island's 70 years of independence, on Saturday.
If you take a look at their scoring graph, Bangladesh lost the plot during overs 10-14 as their run-rate took a plunge below seven an over but slightly over six.
In the absence of Virat Kohli, Rohit Sharma has been appointed as India's captain for this tri-series but he has not been leading from the front in the manner the team wants him to.
Once Mahmudullah was gone, Bangladesh began losing wickets at regular intervals, but Liton Das' 34 and Sabbir Rahman's 30 helped Bangladesh finish on 139/8 off their 20 overs. Now the next challenge is India vs Bangladesh, who played their last match against India in 2016 T20 World Cup and India has won that close encounter by one run.
Unadkat made the breakthrough with a short ball to Sarkar and he caught Tamim Iqbal (15) off Shardul Thakur (1-25) at short fine leg as Bangladesh lost their opening duo within the powerplay.
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Opener Shikhar Dhawan led Indias chase with his 55-run knock.
India: 140 for 4 in 18.4 overs.
Dhawan went on to make 55 off 43 balls, which included five boundaries and two sixes, before he was caught by Liton at long-on off the bowling of Taskin Ahmed.
Soumya Sarkar and Tamim Iqbal have been in terrific touch off-late and more often than not they get their side off to a sublime start in the first few overs. Manish Pandey scored unbeaten 27 runs. The inability of the top three to post big scores has been the biggest factor behind Bangladesh's recent woeful run.
"We didn't bat well".
After the match, the Indian captain was rightfully elated with his team's performance and said, "It was a great performance, something that was expected from us". They were four down pretty early in their innings and a couple of scratchy 30s from Liton Das and Sabbir Rahman helped them to nearly reach the 140-run mark. We're still searching for it and I think we'll get it. "We kept it simple and got the basics right, which was missing in the first game", the Mumbai Indians skipper added.