The sole silver lining is Tripura, where 70% total households use banking facilities - a proportion shared, interestingly, by the terror-hit state of Jammu and Kashmir.
More than 50% of the households in eastern states - West Bengal, Orissa and Bihar - too are outside the banking net.
"We would have to chalk out a strategy to ensure that states with low penetration are covered at the earliest," said the chairman of a large public sector bank, who did not wish to be identified. "The issue was discussed by finance minister P Chidambaram in a recent meeting."
Prime Minister Manmohan Singh launched a direct cash transfer system for subsidy beneficiaries under the Aadhaar scheme, aimed at reducing the role of middlemen in the disbursement of subsidies and ultimately controlling corruption.
The government is also looking at a proposal to make it mandatory for all LPG connection-holders to have bank accounts, so that they can claim the annual subsidy. "Banks would be required to expedite opening of branches to expand the network, and we would closely monitor the progress," a senior finance ministry official said.