The deceased was identified as Sumon, 22, son of Md Kalu, a resident of Tarapur Morolpara under Monkosha union.
Lt Col Mohammad Suruj Miah, commanding officer of BGB-53 battalion, said they spotted the body near Shahpara Eidgah field around 10:30pm and recovered it.
According to local people, Sumon along with several other villagers went to border pillar No 179 to bring back cattle around 6:30pm.
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They claimed members of Border Security Force (BSF) of Daulatpur camp from West Bengal opened fire on them, leaving Sumon critically injured.
Sumon died on the way to a local hospital, they said.
The BGB official, however, could not confirm whether the youth died in BSF firing.