The rupee fell seven paise to 63.59 against the US dollar in early trade today at the Interbank Foreign Exchange due to rise in the greenback's value against other global currencies.
Forex dealers attributed the fall to the dollar's strength on jump in US core inflation and demand for the American currency from importers.
Besides, a lower opening in the domestic stock market weighed on the rupee.
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Meanwhile, the benchmark BSE Sensex fell 130.70 points, or 0.46%, to 27,826.80 in early trade today.