The rupee resumed lower at 61.71 per dollar against the previous close of 61.52 at the interbank foreign exchange market.
It hovered in a range of 61.54 to 61.83 before ending at 61.65 per dollar, a loss of 13 paise or 0.21 per cent. It has fallen 42 paise, or 0.69 per cent, in three sessions.
Sustained dollar demand from importers mainly affected the rupee value, a forex dealer said. However, good inflows from foreign funds in the equity market restricted the currency's fall.
The 30-share S&P BSE Sensex ended 28.92 points lower at 20,864.97.
Foreign institutional investors bought a net Rs 1,031.79 crore of shares yesterday, as per provisional data from the stock exchanges.
In New York, the dollar scored minor gains against rival currencies yesterday as traders awaited a round of US economic data, including September non-farm payrolls, previously delayed by the government shutdown.