Three persons were arrested for their alleged involvement in the incident, a senior officer said adding that search is on for the fourth accused.
The accused also allegedly tried to kill the girl after raping her, the officer said.
The victim is being treated at a city hospital, he said.
The incident happened yesterday night when the victim's boyfriend called her at his uncle's house, the officer said.
The house was empty since all the members of the house had gone to attend a family gathering, the officer added.
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When the members of the house returned, they found that the girl was bleeding profusely, he said.
"They informed the girl's family saying that there was an accident," the police officer said.
But the girl's family was not convinced with the version of the boy's uncle's family, and so they lodged a complaint with the Sonarpur police station, he added.
A probe has been initiated, the officer said.