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The rupee had lost 36 paise to close at Rs 45.48/49 a dollar in the previous session due to heavy month-end dollar demand from importers and a steep fall in the domestic equity market.
Forex dealers said dollar weakness against other currencies and a higher opening in the stock market kept the rupee sentiment firm.
Meanwhile, the Bombay Stock Exchange Sensex was up by 166.87 points at 17,799.28 in opening trade today.