At the Interbank Foreign Exchange Market, the rupee fell by 66 paise to 66.49 a doller in early trade.
A strong dollar demand from importers and banks, and heavy losses in domestic equity markets weighed on the local currency, forex dealers said.
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The rupee had lost 29 paise to close at two-year low of 65.83 against the US dollar on Friday on high demand for greenback from banks and importers.
Meanwhile, the benchmark BSE Sensex tanked 1,006.54 points, or 3.67%, to 26,359.53 in opening trade.
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