Dealers also attributed the rupee's fall to increased demand for the US currency from importers but a higher opening in the domestic equity market capped the losses to some extent.
The rupee opened lower by 7 paise at 64.53 against last close of 64.46 on higher demand for the dollar. Later the rupee reverses its losses to touch a high of 64.45 in early trade.
The dollar rose against the yen, euro and pound after the US Senate passed the tax reform bill last weekend.
On Thursday, the rupee had lost 15 paise to close at 64.46 a dollar on growing concerns with regard to fiscal deficit and possible extension of crude oil production curb by OPEC. Forex and money markets were closed on Friday on account of Id-E-Milad.
Meanwhile, the benchmark Sensex rose 175.53 points, or 0.53 per cent, to 33,008.47 in opening trade.
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