Besides, sustained foreign fund inflows and record gains in domestic equity markets supported the rupee, forex dealers said.
However, the dollar's recovery against some currencies overseas restricted the local unit's upmove.
Yesterday, the rupee had ended lower by 3 paise at 63.87 against the US currency following fresh bouts of dollar demand from importers amid the US political jitters.
Meanwhile, benchmark BSE Sensex rose 159.98 points, or 0.44 per cent, to hit another record high of 35,957.99 and the NSE Nifty crossed the historical 11,000 mark for the first time in opening trade today.
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