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The 28-year-old left hander plundered two sixes and seven fours as Bangladesh came within four runs of their record one day score against Sri Lanka. He was supported by Shakib Hasan who made 67 and Mushfiqur Rahim on 62.
Thisara Perera, who took three for 60, was Sri Lanka's most effective bowler.
Bangladesh won the toss and opted to bat in the second game of the three nation tournament which also features Zimbabwe.