At the interbank foreign exchange market, the local unit opened at 83.22 and lost further ground to trade at 83.27 against the greenback, registering a loss of 9 paise from its previous closing level.
On Tuesday, the rupee pared initial gains to settle 5 paise lower at 83.18 against the US dollar.
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The USD/INR pair is likely to trade with a narrow range of 83.15/25 during the day, Bhansali added.
Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was trading at 104.72, higher by 0.11 per cent.
Brent crude futures, the global oil benchmark, advanced 0.21 per cent to USD 84.40 per barrel.
On the domestic equity market, the 30-share BSE Sensex was trading 227.75 points, or 0.30 per cent lower at 74,942.70 points. The broader NSE Nifty fell 74.30 points or 0.32 per cent to 22,813.85 points in initial trade.
Foreign Institutional Investors (FIIs) were net buyers in the capital markets on Tuesday, as they purchased shares worth Rs 65.57 crore, according to exchange data.