Fresh foreign capital inflows also boosted the rupee's value against the dollar, a forex dealer said.
The rupee resumed higher at 64.23 per dollar as against yesterday's closing level of 64.26 at the Interbank Foreign Exchange (Forex) Market. It firmed up further to a 20-month high of 63.93 before quoting at 63.97 at 1100 hrs, showing a gain of 29 paise.
The rupee had last traded at 63.7350 per dollar during intra-day trade on August 10, 2015.
The BSE Sensex resumed higher at 30,030.20 and shot up to an all-time high of 30,118.86 before quoting at 30,098.52 at 1045 hrs, showing a gain of 155.28 points or 0.52 per cent.
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