Mumbai, July 4: Rupee on Tuesday fell marginally by two paise at 81.98, against the US Dollar in the opening session on rising demand for US Dollar by bankers and importers, dealers at Foreign Exchange said.

The local unit was seen as weak against other world currencies amid a string opening in the equity market.

The Rupee recorded intra days high and lows at 81.92 and 81.98 respectively.