The rupee resumed lower at 63.65 per dollar as against previous closing of 63.58 at the Interbank Foreign Exchange (Forex) market.
It moved in a range of 63.64 and 63.74 per dollar during morning deals before quoting at 63.73 at 1030hrs.
Banks and importers were increasing their dollar position in view of higher dollar in the overseas market, a forex dealer said.
The dollar index, which tracks the greenback against a basket of major currencies, was down at 97.39 in early trade.
At the New York market, the dollar ended higher against most of its other rivals, after National Association of Realtors reported that US existing-home sales in June grew at the fastest pace since February 2007.
Meanwhile, the benchmark 30-share index was trading up by 16 points or 0.06 per cent to 28,520.74 at 1035hrs.
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