The dollar firmed up against some global currencies, which weighed on the rupee, dealers said.
On Monday, the local currency rose 5 paise to close at a two-week high of 67.27 on sustained selling of dollars by banks and exporters on the back of a higher opening in the domestic stock market.
Meanwhile, the benchmark BSE Sensex fell 33.44 points, or 0.12 per cent, to 27,245.32 in early trade.
PTI