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The dollar losing some of its lustre overseas and a better opening in domestic equities supported the rupee lift, traders said.
Yesterday, the rupee had plunged 26 paise to an over one-month low of 65.42, faced with continuous demand for the US currency.
Meanwhile, the benchmark Sensex went up 81.98 points, or 0.25 per cent, to 33,115.54 in opening trade today.