The rupee had hit a record low of 68.85 in August 2013.
Increased selling of the US dollar by exporters supported the rupee.
The local currency had gained five paise to close at 66.35 in Monday's trade.
The rupee appreciated by 37 paise to 62.12 against the dollar in early trade on Monday.
The dollar firmed up against some global currencies.
The rupee ended steady against the American currency at 66.19 per dollar at the Interbank Foreign Exchange here today in view of steady dollar in the overseas market.
On Tuesday, the rupee closed lower by 13 paise at 67.27.
The dollar index surged to multi-year high.
The domestic unit closed lower by 6 paise at 66.71.
The rupee closed almost flat at 65.76 against the US dollar on some demand for the American currency from banks.
The rupee had ended 11 paise higher at 62.20 on Tuesday.
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 rupee on Friday bounced back 32 paise to close at 64.74 against the American currency on fresh selling of dollar.
The rupee ended lower by six paise at 65.73 against the US dollar on Monday.
The dollar index was down by 0.02 per cent against a basket of six major currencies.
The rupee had shed 10 paise to close at 66.14.
Falling for the third day, Indian rupee on Wednesday weakened by 14 paise to close at over one-week low of 62.02 against the Greenback.
Rupee weakened by 10 paise to end at 66.14 against the dollar due to month-end demand from importers and banks.
The dollar was firm against some global currencies which also weighed on the rupee.
The US dollar index was up by 0.16 per cent at 96.53.
The local currency had gained 10 paise to close at 63.51.
A weak dollar against major world currencies supported the domestic unit.
The Rupee is likely to recover during day trad, say currency watchers.
The rupee on Tuesday tumbled by 32 paise to close at 64.17 on fresh dollar demand from importers.
The rupee firmed up by 15 paise to close at 62.36 per dollar on fresh selling by banks
A fresh demand for the US currency from importers weighed on rupee.
Strong rebound in local equities restricted the rupee's fall.
On Tuesday, the rupee had declined marginally by 3 paise to 66.03.
The rupee had eased by 2 paise to close at fresh 2-month low of 62.78.
Rupee hits 2-month low against dollar on US rate hike fears.
Cautious optimism over US-China trade talks after US President Trump said his trade negotiators had received two "very good calls" from Beijing also influenced the local currency, dealers said.
The rupee had ended 5 paise lower at 67.49 on Monday.
On Wednesday, the rupee ended barely steady at 64.93.
The rupee had lost three paise to hit two-month closing low of 66.80.
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.
The rupee had advanced 7 paise to end at 65.51 on Thursday.
On Monday, the rupee had lost 14 paise to close at 66.62 against the US dollar.
The rupee has dropped by 49 paise or 0.75 per cent in four days.
The rupee settled at 61.71. In straight three sessions, the currency has shot up 51 paise or by 0.82 per cent.