Sanna, along with her associates, had hatched the conspiracy to rob her friend Jyoti Chhabra, as she was jealous of her lifestyle, they said.
Besides Sanna, the police have arrested 22-year-old Aman and a juvenile in the case and claimed to have recovered robbed cash of Rs 11,500, a gold chain, two mobile phones and a scooty which was allegedly used in the crime.
On the intervening night of May 5-6, the police were informed about a robbery at Chhabra's house in Humayunpur village near Arjun Nagar here.
The police said a case was lodged and Sanna and others were questioned.
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Sanna's testimony was not found to be consistent after which footage of CCTVs installed in the area were examined, they said.
They said that in the CCTV footage, Sanna was found to be with the three and the victim identified them as the robbers.
DCP (South) Ishwar Singh said Sanna was found to be a drug addict and she had contacted the victim and offered her to return her robbed articles if she would take back her case.
Aman was previously involved in three criminal cases.
"During interrogation, both accused confessed to have committed the robbery along with co-accused Yogesh, as per the conspiracy hatched by Sanna," the police said.
Sanna was arrested and a robbed gold chain was recovered from her possession, they said.
They said efforts to arrest Yogesh are on.