The rupee resumed weak at 54.86 per dollar as against yesterday's closing level of 54.81 per dollar at the Interbank Foreign Exchange (Forex) market.
However, it recovered immediately to 54.68 per dollar before quoting at 54.69 per dollar at 1040 hrs.
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"Sustained capital inflows by funds as well as bullish equities improved the rupee sentiment," dealers said.
Meanwhile, the BSE benchmark Sensex rallied by 353.41 points, or 1.82 per cent, to 20,080.57 in the late morning trade.
In the international market, the dollar slipped against the Japanese yen in early trade though it still hovered near its highest level in more than four years on prospects for an improving US economy and the end of monetary stimulus by the Federal Reserve.
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