Traders said the dollar's strength against some currencies overseas on expectations of an interest rate hike this year weighed on the rupee.
Yesterday, the rupee had ended four paise higher at 64.00 on fresh selling of the American currency by exporters amid heavy foreign capital outflows.
Meanwhile, the benchmark BSE Sensex advanced by 120.62 points, or 0.37 per cent, to 32,307.03 in early trade.