The accused is absconding and a hunt has been launched to nab him, said the police.
MN Tiwari, deputy commissioner of police (outer), said the woman is a school drop out and she had shifted to their new home in Aman Vihar around a month ago.
According to the complaint, the girl, a resident of Sultanpuri, came in contact with the accused, after which the two became friends.
The FIR was registered under sections 345D (stalking) 365 (Kidnapping or abducting with intent secretly and wrongfully to confine person), 344 (Wrongful confinement for ten or more days), 323 (voluntarily causing hurt) and 376 (rape) of Indian Penal Code, said police. The accused met her at 11:30 pm that night, and took her to a house where she was confined for the next 10 days.
The police said the woman was medically examined and the doctors revealed that she had sustained injuries in her private parts, legs and arms.
He then repeatedly raped her. "We are looking into this angle as well", said Tiwari.
On April 9, she somehow managed to flee the room and ran to her house where her mother was present.
"His family members knew everything but they kept mum. On April 9, she managed to flee the room and reached her parents' house", said Mr Tiwari. Her father accompanied to the police station where she filed a case against the accused, the officer said.