The victim's father in his complaint said his daughter was found naked and seriously injured by villagers behind a power-house near his house on Tuesday night, Station House Officer at Narghgarh Police Station, Mukesh Meena, said.
The officer said she was rushed by locals to a government hospital where doctors declared her brought dead.
"The complaint was lodged on Wednesday and after post-mortem the body was handed over to the family," the police officer said.
"The father has claimed that a man was seen standing near the body. But he fled the spot after seeing people approaching him," Mr Meena said.
The accused, who is missing, has been booked under relevant sections of the Indian Penal Code, including rape and murder, and provision of the Protection of Children from Sexual Offenses Act, the police officer said.
The matter is being investigated, he added.