The accused, Nihal Ahmed, and his 21-year-old girlfriend are residents of Mankhurd, police said.
The victim in her complaint stated that Nihal has maintained a sexual relationship with her promising marriage, they said.
The accused took the victim to his father's shop and lodge on a number of occasions and raped her. The victim later realised that the accused made false claims of marriage, they said.
We have registered a case under section 376 (rape) of the Indian Penal Code after the complaint, they said adding that Ahmed was arrested and will be produced in a magistrate's court on Saturday.