The couple, identified as GK Nair,70, a retired Air Force personnel, and his wife Gomti, 68, were found dead by their neighbours at their Narmada Green Valley residence under Awadhpuri police station, Bhopal Deputy Inspector General or DIG Dharmendra Choudhry told PTI.
He said that the maid at the household alerted neighbours after there was no response from inside despite her repeatedly knocking on the door.
"Neighbours who peeped in from a window saw the couple lying in a pool of blood. Their throats had been slit with a sharp object," the official said.
A reward of Rs 20,000 had been announced for information on the case and a team under the local Superintendent of Police had been formed the solve it, he added.