A firm dollar overseas also weighed on the rupee as the dollar index, consisting of six major global rivals, was up by 0.28 per cent.
At the interbank foreign exchange market, the domestic currency resumed lower at 63.35 and moved in a range of 63.30 to 63.84 against the dollar before settling at 63.71, a fall of 47 paise or 0.74 per cent.
"Rupee was seen depreciating against the US dollar due to persistent dollar strength, rising dollar demand from the domestic oil companies and debt market outflows. Also, the stock markets which ended the session on a negative note contributed to the weakness in the local currency," said Abhishek Goenka, CEO of India Forex Advisors.
The 30-share benchmark S&P Sensex tumbled 209.05 points, or 1.02 per cent, to a one-month low, completing six days of losses. Overseas investors pumped in Rs 333.50 crore in stocks yesterday, according to provisional data.