The deceased has been identified as Wasim while his elder brother Atiqur was injured in the attack.
The brothers ran a family-owned printing business and generally order tea for the office from a particular shop.
"As usual, around 5.30 PM they ordered tea from the shop. When the tea did not arrive in time. Wasim went to the shop to inquire where the stall owner Habib told something unpleasant to him. Wasim called his brother Atiqur and an argument ensued between the two parties which soon led to a scuffle," said a police official.
Wasim's throat was slit while Atiqur sustained multiple injuries in the attack, police said.
Wasim succumbed to his injuries while Atiqur's condition was said to be serious.
Police has registered a case of murder following which Habib and two of his relatives have been arrested.