However, lower crude prices in the international market supported the local unit and restricted its fall, forex dealers said.
At the interbank foreign exchange, the rupee opened unchanged at 78.13 against the US dollar, then inched lower to quote 78.17, registering a decline of 4 paise over the last close.
On the domestic equity market front, the 30-share Sensex was trading 364.12 points or 0.69 per cent lower at 52,167.95, while the broader NSE Nifty fell 123.10 points or 0.79 per cent to 15,515.70.
Meanwhile, the dollar index, which gauges the greenback’s strength against a basket of six currencies, rose 0.17 per cent to 104.61.
Global oil benchmark Brent crude futures slumped 3.47 per cent to USD 110.67 per barrel.
Foreign institutional investors remained net sellers in the capital market on Tuesday as they offloaded shares worth Rs 2,701.21 crore, as per exchange data.
(Only the headline and picture of this report may have been reworked by the Business Standard staff; the rest of the content is auto-generated from a syndicated feed.)