While the first incident occurred in Barrackpore, the other took place in Belghoria.
The first incident took place at Sadar Bazar area of Barrackpore when miscreants shot at a businessman who was returning home, shortly after midnight.
The businessman who sustained injuries in his hand has been admitted to a hospital.
Three persons have been detained in this connection and they are being questioned, Rajesh Kumar Singh, Commissioner of police of Barrackpore commissionerate said.
The motive behind the crime is not known, the police said.
Miscreants who had prior information about the payment demanded money from them. When the businessmen refused to pay, they fired at the businessmen, Singh said.
The injured businessmen have been admitted to a hospital, he said.