The rupee had gained five paise to close at 63.25 against the dollar in on Monday's trade on fresh selling of the US currency by exporters amid bullish stocks.
The rupee has posted its biggest single-day fall in more than four months to end at 62.95 against the dollar.
The Reserve Bank of India sold dollars via state-owned banks around 62.3575 per dollar to contain the rupee's fall, traders said.
The RBI expects inflation in 2015 to hover around 6 per cent -- its target for January 2016 -- and sees risks to the target evenly balanced.
Rupee ends at 61.89 against the dollar, falls for second straight day.
The rupee had rebounded 15 paise to close at two-week high of 61.77 against the dollar at the Interbank Foreign Exchange on Friday.
Large state-run entities and business houses will not be allowed to set up small finance banks, which will have to comply with statutory reserve requirements.
In the offshore non-deliverable forwards, the one-month contract was at 62.26/36, while the three-month was at 62.83/93.
The rupee had edged higher by four paise to end at 61.51 against the American currency in yesterday's trade on fresh selling of dollars by banks and exporters.
The dollar's weakness against other currencies overseas and a higher opening in the domestic equity market supported the rupee, forex dealers said.
The Reserve Bank of India (RBI) raised the minimum capital requirement for so-called shadow banks and tightened rules on deposits and bad loans to avoid any potential risk to the economy from these rapidly growing finance firms by regulating them like traditional banks.
The rupee had hit an intra-day low of 61.6750 on Friday, its lowest level since Oct. 17.
Traders are looking ahead at the consumer prices data due on Wednesday, amid rising expectation the Reserve Bank of India could opt for earlier-than-expected cuts in interest rates should inflation continue to ease.
Foreign investors have bought around $2.4 billion in both debt and equity so far in October, pushing the total inflows to nearly $36 billion so far in the year.
The partially convertible rupee closed at 61.45/46 per dollar, weaker from Wednesday's 61.35/36.
In the offshore non-deliverable forwards, the one-month contract was at 61.56/66, while the three-month contract was at 62.16/26.
The partially convertible rupee closed at 61.31/32 per dollar, unchanged from its Tuesday close.
The RBI's warnings signal its concern that unhedged firms could be a vulnerable link should global markets buckle.
In the offshore non-deliverable forwards, the one-month contract was at 61.58, while the three-month contract was at 62.18.
The big test will come at the end of March when the fiscal year ends and banks tend to hold on to cash.