However, a weak dollar in global markets helped the rupee limit its losses, dealers said.
Asian currencies were trading lower as investors look fro cues from Federal Reserve Chairman Jerome Powell's first public comments at the House Financial Services Committee on Tuesday to discuss the US central bank's Semi-Annual Monetary Policy Report and the state of the economy.
On Monday, the rupee had lost 6 paise to end at 64.79 against the US currency due to fag-end dollar demand from importers and corporates.
Foreign investors pulled out a net Rs 1,119.51 crore from stocks on Monday.
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