The rupee ended weak by 20 paise at 63.84/85 due to continued demand for the American currency from importers amid heavy capital outflows from the equity market.
Forex dealers said besides sustained demand for the dollar in view of the approaching month-end, weakness in the euro against the dollar overseas amid growing concerns of a Greece debt default and a possible euro zone exit weighed on the rupee sentiment.
The euro came off its lows on Monday as the Swiss National Bank said it intervened in the market to weaken the franc, with the single currency little changed on the day after initial steep losses on concerns that Greece was on the brink of default.
Extending losses for the fifth consecutive day, the rupee opened lower by 10 paise at 63.74 against the US dollar at the Interbank Foreign Exchange market today.
It further weakened to 63.94 before closing at 63.84.
Meanwhile, the benchmark BSE Sensex ended the session down by 166.69 points or 0.6 per cent at 27,645.15 on Greek debt crisis.
The pound sterling also finished higher at Rs 100.29/31 per pound at the close of the Interbank Foreign Exchange market today.