The rupee had retreated four paise from its 11-month high levels to close at 58.63 against the dollar on Tuesday on fresh demand for the US currency from importers, amid some profit- booking in stocks.
The rupee had surged 37 paise to end at a nine-month high of 59.68 against the dollar on Tuesday. Forex market remained closed on Wednesday for 'Buddha Purnima'.
Weakness of the dollar in the overseas market also boosted the rupee, a forex dealer said.
Most dealers said the heavy buying by state-run banks was on behalf of the central bank, looking to limit the volatility in the rupee, in the face of foreign fund flows into the share market.
The rupee had gained 6 paise to close at 60.07 against the dollar in Thursday's trade on fresh selling of the American currency by banks and exporters in view of strong capital inflows.
The rupee closed 2 paise lower at 60.13 on Wednesday as a sudden demand for the US currency emerged at fag-end of trade.
He said the total capital requirement for state-run banks is Rs 455 billion ($7.6 billion) in 2014/15 fiscal year, much lower than the Rs 113 billion provided for recapitalisation in the interim budget in February.
The rupee had gained 10 paise to close at 60.11 against the dollar in Tuesday's trade on fag-end selling of the US currency by banks and exporters.
In New York market, the dollar was little changed against major rivals yesterday as investors continued to comb through economic data and speeches from central bank officials to get a better sense of when the Federal Reserve could begin to raise interest rates.
The currency got support from dollar flows into local equities and greenback sales from state-run lenders.
Forex dealers said besides selling of the American currency by exporters and banks, gains in other Asian currencies against the dollar and a higher opening in the domestic stock market also supported the rupee.
In the latest large opinion poll, the opposition Bharatiya Janata Party and its allies were forecast to win a narrow majority in the 543-seat lower house of parliament, compared with previous surveys predicting that they would fall short.
The domestic currency had gained a massive 47 paise to close at 60.60 on Friday amid heavy selling of the US currency by corporates, exporters and banks.
The rupee had lost 31 paise to close at one-month low of 61.07 on Wednesday on sustained dollar demand from banks and importers.
The rupee closed at 60.76/77 on Tuesday.
Dealers attributed the fall in the rupee on Tuesday to dollar's gains against other currencies overseas, but a higher opening in the domestic equity market capped the fall.
Forex dealers said strengthening of dollar against other currencies in the global market also put pressure on the rupee but a higher opening of the domestic equity market limited the fall.
Foreign funds sold Indian shares worth 446.9 million rupees ($7.4 million) on Wednesday, provisional exchange data showed, marking the third consecutive session of outflows.
In New York Market, the US dollar rose against the Australian dollar on Tuesday as gold futures dropped more than two per cent and investors anticipated Chinese data that is likely to show a slowing of growth.
The rupee had lost 26 paise to close at 60.16 against the dollar yesterday on fresh dollar demand from banks and importers in view of the US currency gaining overseas and weakness in local equities.