Pramod killed Hema and then hanged himself at his house, police said.
The man's family cremated the bodies without informing the police, they said.
The girl's relatives, however, claimed that she was killed for dowry and that Pramod faked his own death to escape arrest, they said.
Based on their complaint, a case has been lodged against Pramod and four family members, police said, adding, the matter is being probed.