A fresh demand for the US currency from importers weighed on rupee.
On Tuesday, the rupee had declined marginally by 3 paise to 66.03.
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.
On Wednesday, the rupee ended barely steady at 64.93.
The rupee had advanced 7 paise to end at 65.51 on Thursday.
The rupee had ended 5 paise lower at 67.49 on Monday.
The rupee has dropped by 49 paise or 0.75 per cent in four days.
The rupee had lost three paise to hit two-month closing low of 66.80.
On Monday, the rupee had lost 14 paise to close at 66.62 against the US dollar.
On Monday, the rupee had moved up by 3 paise.
The rupee had shed 9 paise to end at 64.13 on Friday.
The US dollar index, which measures the greenback's strength against a trade-weighted basket of six major currencies, was up by 0.31 per cent at 97.52.
The domestic currency had gained seven paise on Friday.
The rupee slumped to 64-level against the American currency, its second straight fall this week.
It moved in a range of 63.54 and 63.81 per dollar during the day.
The rupee has lost 23 paise or 0.35 per cent in two days.
The local currency opened at 62.20 a dollar from the previous close of 61.93 and immediately touched a low of 62.29 at the interbank foreign exchange market.
The rupee had depreciated by 13 paise to end at 67.20.
Dollar's weakness against other currencies in the global market made the local unit stronger.
The rupee on Monday tumbled by 68 paise to close at a nearly 8-week low of 66.44 against the American currency.
Increased demand for the dollar from importers put pressure on the rupee.
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 firmed up by 28 paise to close at 3-week high of 66.97 in Monday's trade.
The rupee had gained two paise to close at one-month high of 62.14 against the dollar in Tuesday's trade.
The rupee surged to its highest level in five weeks to end at 65.58 by gaining 38 paise against the US currency.
The rupee fell sharply by 32 paise at 66.37 against the US dollar in early trade on Tuesday.
The rupee on Tuesday lost another 15 paise against the US dollar to close at 65.88
At the Interbank Foreign Exchange market, the domestic unit commenced higher at 61.80 a dollar from previous close of 61.92.
SBI managing director PK Gupta told reporters that the rupee has been faring better than many of its peers, including the Turkish, Argentinean, and Indonesian currencies.
The rupee bounced back by 10 paise to end at 68.62 on Friday.
Rupee is under pressure against the dollar on weak cues.
Chidambaram further said government has taken a number of fiscal and administrative measures from time to time to contain inflation especially food.
The rupee edged higher by three paise to 66.46 against the US dollar in early trade on Wednesday.
Forex dealers attributed the fall to increased demand for the dollar.
The rupee on Monday continued its upward march against the US dollar for the third day, firming up by another 10 paise to 66.00 on fag-end selling of the American currency by banks and exporters.
The rupee had lost 21 paise on Tuesday's trade.
Weakness of dollar in the overseas market also boosted the domestic currency, a forex dealer said.
The rupee had jumped by 16 paise to end at over two-month high of 61.71 against the greenback on good inflows in local markets and sustained dollar sales by exporters.
The domestic currency has tumbled by 104 paise, or 1.63 per cent, in last six trading days.