The incident occurred when Gharbhari was alone in the house after her husband K F Jaipal left for work, Circle Officer Hariram Yadav said, adding a case has been registered against unidentified persons at the Khatoli police station.
"She was killed because she resisted a loot attempt. During the incident, Jaipal was working at a local sugar mill," he said.
The body has been sent for postmortem and the matter in being probed, Yadav added.
"The accused, a cobbler, has confessed to his crime. He strangulated her to death after raping her," Yadav said, adding he has been sent to jail.
The victim's body was recovered yesterday, five days after she went missing, police said.
Security has been tightened in the village to thwart any untoward incident, he said.