The deceased are identified as Babanrao Bobade (65) and his wife Rekha (60), a police official said.
He said police suspected that Bobade might have first killed his wife using his revolver before shooting himself.
Bobade and his wife are the only occupants of their rented flat in Vishwakarma Complex, the Juna Rajwada police station official said, adding that Bobade took a voluntary retirement from service when he was posted in Mumbai in 2010.
The official said the police have found a note, purportedly written by Bobade, stating that he was troubled due to an 'insult' meted out to his wife by the flat owner.
He said Bobade used to visit his relative Mahesh Adsule, who lives nearby, everyday.
"However, as Bobade didn't turn up this morning, Adsule tried calling him on his mobile phone, but his calls went unanswered. Adsule then visited the flat where he found the couple lying dead," he said.
One of the two sons of the Bobade couple works in the Indian Air Force, he added.
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