Police recovered the throat-slit body of a housewife from Birampur village in Sadar upazila on Saturday morning.
The deceased was identified as Chantara Begum, 42, wife of Khalil Mia, who earns his living by begging.
Locals said Khalil found his wife dead after returning home from Fazr prayers in the early morning.
On information, police recovered the body and sent it to Sadar Hospital morgue for autopsy, said Atiqur Rahman, officer-in-charge of Savar Model Police Station.
Police detained Khalil and his daughter for interrogation, the OC added.