The incident came to light when the tenant of victim Sumanbala Bhatnagar found her lying dead on her bed at around 3 pm at her home in Chitra Vihar area, police said.
The suspects had gained a friendly entry in the house to commit robbery, the police said, adding that they have seized footage of the CCTV installed in the area to ascertain the identity of assailants.
A case of murder and robbery has been lodged at the Preet Vihar police station.
It said that first floor of Bhatnagar's house was rented out and today when her tenant called the victim on her phone, she did not respond.
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When her tenant came down to see Bhatnagar, she found that the doors were open and the victim had died, the police said, adding that she was allegedly strangled and had also suffered injuries on her head.
The police said some articles were found missing from the victim's house.