The local currency resumed lower at 54.87 per dollar as against the last closing level of 54.72 per dollar at the Interbank Foreign Exchange (Forex) Market and dropped further to 54.91 before quoting at 54.75 a dollar at 1040 hours.
It moved in a range of 54.74-54.91 in the morning deals.
Good dollar demand from banks and importers in view of firm dollar overseas market affected rupee's value against the dollar, a forex dealer said.
In the New York market, the US dollar rose against most major rivals yesterday, finding underlying support as data showed stronger-than-expected private sector jobs growth in February.
Meanwhile, the BSE benchmark Sensex was quoting steady at 19,252.06 at 1050 hours.