The rape and murder of the minor sparked a protest in the town, about 40 km from the district headquarters.
The girl had gone missing from a religious programme organised to mark 'Sharad Purnima' near a school last night, Additional Superintendent of Police Sanjiv Uike said.
"Some artistes from Chhattisgarh were presenting a cultural programme when someone informed that a girl was lying in a pool of blood behind the school building," Uike said.
The ASP said after seeing the crime scene, it was suspected that the girl was raped and killed as her clothes were not in order and the head was smashed with stones, he said.
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Uike said Dixit admitted he lured the girl on the pretext of giving her chocolates and took her to the backside of the school building.
He said: "The accused admitted he raped the girl and later smashed her head against the wall and stoned her to death."
A case has been registered against the accused for rape, murder and other relevant sections of The Protection of Children from Sexual Offences (POCSO) Act, Uike said.
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