The father of the 16-year-old student said she had gone missing after trying to save him from being beaten as punishment for failing to repay a loan, according to a local police official.
Her body was later found on railway tracks.
The incident is the latest in a series of incidents of sexual violence towards women in
Several of the worst cases have occurred in
In October, a teenager in
Informal village councils across
In this latest incident, which occurred 420 miles (680km) north of the state capital of
The police said the girl's body, discovered on Tuesday morning, had been sent for postmortem examination.
Council elders have denied any involvement in the woman's death or the alleged sexual attack on her. Some local media have suggested a political dimension in the case, as the victim's family supports the local Communist party and the alleged attackers are loyal to the ruling TMC.
Many activists blame entrenched sexist attitudes, pointing to the string of Indian politicians who have made controversial comments in recent months about rape.
A minister from central
Last month a rightwing Indian party said rape charges had "become a fashion" in
The hardline Hindu nationalist party
According to the
From 1971 to 2012 recorded cases rose from just under 2,500 to almost 25,000, while activists believe only 10% of cases are ever reported to the police.
Shortly after winning a landslide victory in May,
"Governments will have to work strictly against this, else our own souls will not forgive us," Modi told parliament.
Modi emphasised the importance of better sanitation for improving women's security in
The two teenagers raped and hanged in June had left their village as the sun set to go to use local fields because their home had no proper toilet.
Three months after his election victory, Modi's approval levels remain high. According to one poll released this week two-thirds of Indians are satisfied with his record so far, despite no "big bang" radical reforms.
Positive economic indicators have also led to an upward revision of
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