Empty pouches of alcohol were found near the body of the Class 8 student, who went missing last evening from her home in Ahmadnagar village under the Roja police station, prompting her family to launch a search.
"In the night, the body of the girl was found in a naked condition. Her throat was slit," said Superintendent of Police (city) Dinesh Tripathi.
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"It is possible that the girl was first raped and then murdered," police station in-charge Istkhar Ahmed said.
The body has been sent for a post-mortem examination. A hunt has been launched to nab the culprits, police said.