The bank's net profit fell to 2,232 crore for its fiscal first quarter to June 30.
Top Indian private sector lender ICICI Bank, which owns nearly 68 percent of the insurer, is selling up to 181.34 million shares in the IPO.
With their weak metrics and high bad loans, India's state-run banks have not been investor favourites
The stress in the banking sector, which mirrors the stress in the corporate sector, has to be dealt with in order to revive credit growth.
Here is some background on the candidates seen as potential successors to Rajan at the RBI
As the clean-up has taken hold, loan growth slipped to 10.7 per cent in the last fiscal
Bankers and government officials told Reuters Rajan's successor may be less aggressive in fighting bad loans, but the general direction will remain the same
Finance Minister Arun Jaitley said in a Twitter post that the government appreciated all of Rajan's good work and respected his decision
Imports dropped 13.16 per cent year-on-year
India does not have a unified regulatory regime to counter Ponzi, or pyramid, schemes whose operators typically grab new deposits to meet their promise of guaranteed returns to existing savers, point out Manoj Kumar and Mayank Bhardwaj.
Like pharmaceutical companies globally - which used to enjoy a preferential exchange rate in Venezuela - Indian producers have been left badly stung by the collapse of the bolivar currency
Indian banks would have to make higher provisions for lending to large corporate borrowers above a certain level from next financial year, according to proposals published by the Reserve Bank of India (RBI) on Thursday.
State-owned banks account for more than two-thirds of the sector's assets and about 85 percent of bad debts
The insolvency and bankruptcy code will strengthen the hands of lenders to recover outstanding debts by setting a deadline of 180 days for companies to pay or face liquidation
Three members will be representatives from the government, and three from the RBI.
Infrastructure accounts for nearly 38 per cent of India's industrial output
Bankers back the new bankruptcy code, which would impose debt deadlines on failed firms and foresees up to five years in jail for debtors who conceal property or defraud creditors
Digibank will offer only savings deposits initially, but will expand to include investments and lending in the coming months.
Retail inflation has eased from double digits in 2013.