The incident took place on August 3 in Kekri, a block around 135 km from the state capital, they said.
"Kanya Devi Raigar was branded a witch and severely tortured before being beaten to death, she was also made to eat faeces by her relatives," Superintendent of Police (SP) of Ajmer, Rajendra Singh, said.
The police registered a case today against four people -- Pinky Raigar, Sonia Raigar, Mahaveer Raigar and Chandra Prakash Raigar -- under relevant IPC sections, including murder, and provisions of the Rajasthan Prevention of Witch- Hunting Act, 2015.
On claims that the relatives had pierced her eyes with a hot rod, Singh said the body was cremated by the relatives and no post mortem could be conducted, "so it is proving difficult to ascertain these claims".
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"Thorough interrogation of the accused will reveal what transpired that day," he said, adding that three persons have been detained and will be arrested soon.
The woman's husband died about a month ago and she was living with her son and daughter, the police said.
The police said a distant relative of the woman had lodged a complaint on August 10.
However, after the woman's daughter lodged a complaint, the police registered a case, he said.
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