Maruf Hossain Sarder, deputy commissioner of Ramna Division of Dhaka Metropolitan Police (DMP), confirmed her death and called it a murder.
The police official said Mahfuza was killed at her house at Elephant Road in the capital on Sunday afternoon.
He said Mahfuza was living at Sukannya Tower at Elephant Road, where she was murdered.
The police officer said two housemaids of the deceased house fled after the incident. Police primarily suspect that the maids may involve in the killing.
The deputy commissioner said police rushed to the spot after hearing the incident.