Banks and exporters kept to dollar selling.
The dollar's reduced clout overseas amid uncertainty about prospects of US tax cuts and domestic stock markets opening high were instrumental in the rupee's rise, traders said.
Yesterday, the rupee had surged a solid 16 paise to end at an over one-month high of 64.59 against the US currency following heavy dollar unwinding.
The benchmark Sensex was trading higher by 45.53 points, or 0.13 per cent, at 33,645.80 in early session today.
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