The rupee ran up 23 paise to 67.72 against the dollar at the Interbank Foreign Exchange on Tuesday as exporters and banks stepped up dollar sale amid higher opening in the domestic equity market.

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Besides, weakness in the dollar against some other currencies overseas gave the rupee some muscle, forex dealers said.

On Monday, the rupee had closed steady at 67.95 per dollar on alternate bouts of selling and buying of the greenback amid persistent concerns over the UK leaving the European Union (EU).

Meanwhile, the benchmark Bombay Stock Exchange (BSE) Sensex rose 82.32 points, or 0.31%, at 26,485.28 in early trade on Tuesday