The family ran a grocery shop in outer Delhi's Burari area and plywood business in Sant Nagar.
The body of a 70-year-old woman was found lying on the floor of the house, with the others hanging from a railing attached to the ceiling.
Some of the bodies recovered were found hanging, while some were blindfolded. They were all members of the same family.
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Seven were women while three were minors.
The Delhi Police have rushed to the spot and the probe has been initiated.
The shop usually opens at 6am every morning.
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The police is investigating the case from all possible angles, Joint Commissioner of Police, Delhi, told ANI.
Their bodies were hanging from an iron grill ceiling, broadcaster NDTV reported. A neighbour in the Burari district found the victims early on Sunday, police said.
He found the bodies and informed police.
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Police officials are reportedly gathering details about the family members from the neighbours and are also calling the relatives of the deceased.