The domestic currency has fallen past the 56-level against the dollar after June 29.
Dealers said apart from gains in euro and the Asian currencies against the American currency overseas, higher opening in the domestic equity market and selling of dollars by exporters and some banks supported the rupee.
The Indian rupee continued to rule firm in the late morning session by improving five paise to 53.11 per dollar on selling of dollars by banks in view of persistent foreign capital inflows.
In New York, the dollar index climbed to its highest level in about two years on Wednesday.
Weak trends in local stocks with Sensex dropping by 129 points also weighed on rupee but some capital inflows limited its decline to some extent, forex dealers said.
The dollar strengthened against other currencies as well in the overseas market.
The rupee resumed higher at the Interbank Foreign Exchange market but fell to a intra-day low of 57.10.
The currency hit a record low of 57.32 on June 22 and has so far shed 7 per cent value against the dollar in 2012, making it worst performing currency in Asia.
The rupee on Tuesday rose by 11 paise to 56.90 against the US dollar in early trade at the Interbank Foreign Exchange market as the American currency weakened against euro and other currencies overseas.
The Indian currency has shrunk 2.92 per cent since Donald Trump's victory in the US presidential polls earlier this month.
On Tuesday, the rupee had closed three paise down at 55.96 against the dollar amid foreign fund outflows and demand of the US currency from importers.
The rupee on Tuesday again breached the 56-level by falling 12 paise to 56.05 against the US dollar in early trade on the Interbank Foreign Exchange on increased demand for the American currency from banks and importers.
The partially convertible rupee was trading at 65.87/88 per dollar.
The rupee commenced higher at 55.14 a dollar from the overnight close of 55.36 at the Interbank Foreign Exchange market, and immediately touched a low of 55.30 on some dollar demand from oil importers as crude oil hovered around the $85 per barrel.
The rupee had lost 11 paise to close at 55.65 against the Greenback on Monday due to late dollar demand from importers.
Forex dealers said besides dollar's gains in the overseas markets, a weak opening in the stock market following capital ouflows, also put pressure on the local unit.
Dealers said Euro's gains against the dollar in overseas markets and step taken by the RBI to stablise the rupee mainly influenced the trading sentiment.
Sentiments were weighed down as the US dollar turned higher against its major counterparts.
At the Interbank Foreign Exchange (Forex) market, the domestic unit opened lower at 56.02 as against its previous close of 55.64 on dollar buying by importers, mainly oil refiners, to meet their month-end requirements.
This marks a turnaround after rupee's 158-paise plunge in the last three sessions.
The Indian rupee recovered by four paise to 54.99 after touching all-time low of 55.07 against the American currency in the late morning trade due to mild selling of dollars by banks following following measures taken by RBI to curb the local currency's fall.
Forex dealers said fresh dollar demand from banks and particularly, month-end demand from oil importers despite weakness of the dollar in the overseas market pulled down the rupee.
The rupee on Monday dropped by 30 paise to 54.72 against the US dollar in late morning trade, due to on fresh demand for the American currency from banks and importers despite a weak global trend.
Forex dealers said fresh dollar demand from importers also weighed on the rupee sentiment, while sustained foreign fund inflows into local stocks capped its fall to some extent.
The rupee appreciated by 37 paise to 62.12 against the dollar in early trade on Monday.
The rupee on Wednesday strengthened by another 3 paise to 62.82 against the US dollar.
The rupee had shed 10 paise to close at 66.14.
The rupee shed 6 paise to hit a fresh 1-month low of 62.31 on Thursday.
This is rupee's lowest since 62.32 on January 9.
It moved in a range of 66.9250 and 66.70 per dollar during the day
Increased demand for the dollar from importers put pressure on the rupee.
The rupee settled at 61.71. In straight three sessions, the currency has shot up 51 paise or by 0.82 per cent.
On Monday, the rupee had lost 14 paise to close at 66.62 against the US dollar.
The Indian rupee on Wednesday ended unchanged against the US dollar at 61.41 ahead of the outcome of US Federal Reserve's policy meeting.
The NSE Nifty too ended 58.60 points, or 0.54 per cent, higher at 10,967.30 after shuttling between 10,985.15 and 10,928 during the session.
The local currency had gained 10 paise to close at 63.51.
However, firm equity markets capped the rupee losses.
The rupee surged to its highest level in five weeks to end at 65.58 by gaining 38 paise against the US currency.
On Tuesday, the rupee had declined marginally by 3 paise to 66.03.
Mobile remittance services, which have done wonders in other emerging market economies like Kenya and the Philippines, are expected to change the retail payment landscape in the country that has over 600 million mobile subscribers and 300 million bank account holders.