The father of the victim in his complaint has alleged that her daughter was raped before she was strangulated and murdered, police said.
The girl had left home in the morning and when she did not return, a search team recovered her body in semi-nude condition from the nearby field, police said.
There were injury marks on her body, they said.
Superintendent of Police Arvind Sen Yadav and Additional SP Gyananjay Singh rushed to the village and inspected the spot.
Further action would be taken after the post-mortem examination report, they said.