The domestic currency opened lower at 64.82 per dollar as against Friday's closing level of 64.74 at the Interbank Foreign Exchange market on initial dollar demand from banks and importers.
Later, it gained on dollar selling by exporters to Rs 64.69 before concluding at 64.75 per dollar, showing a mere loss of one paise or 0.02 per cent.
The domestic unit hovered in a range of 64.88 and 64.69 per dollar during the day.
The dollar index was traded lower by 0.12 per cent against a basket of six currencies in the late afternoon trade.
The dollar slipped against most rivals in the late Asian trade today, with China's currency rising to its best level against the greenback since Beijing's surprise devaluation of the yuan in August.
Meanwhile, the Indian benchmark sensex fell by 175.40 points or 0.65 per cent.