The rupee resumed lower at 53.80 a dollar as against Tuesday's closing level of 53.72 at the Interbank Foreign Exchange (Forex) Market. It moved down further to 53.84, before quoting at 53.82 at 1100 hrs.
It moved between 53.68 and 53.84 per dollar during the morning deals.
Meanwhile the BSE-30 index, Sensex, rose by 43.70 points, or 0.23 per cent at 1115 hrs.
The rupee had ended lower by 25 paise at 53.72 against the US dollar in the previous session on Tuesday amid fresh American currency demand, mainly from oil refiners.
The forex market remained closed yesterday on account of Dussehra.
In New York, the US dollar held onto a small advance against major currencies yesterday after the Federal Reserve continued to express concern about the economy and made no changes to its ultra-easy monetary policies.