The rupee was also under pressure after government data showed that fiscal deficit touched 89.6 per cent of the Budget Estimates for 2014-15 to cross Rs 4.75 lakh crore at the end of October.
At the Interbank Foreign Exchange (Forex) market, the domestic unit commenced lower at 61.93 a dollar from previous close of 61.87. It tried to recover by touching intra-day high of 61.8775.
Later, it met with strong resistance on heavy month-end dollar demand from importers, mainly oil refiners, and fell back to a low of 62.0725. It finally concluded at 62.03, showing a fall of 16 paise or 0.26 per cent.
Stocks continued their upward sprint for the third straight session today with benchmark Sensex galloping 255.08 points to 28,693.99 and Nifty surging 94.05 points to 8,588.25 as tumbling oil prices strengthened the case for a rate cut by the RBI next week.
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Foreign Portfolio Investors (FPIs) injected USD 119.41 million yesterday, as per Sebi data.
The dollar index was up by 0.14 per cent against its major global rivals.
Veracity Group CEO Pramit Brahmbhatt said: "Rupee traded weak today taking cues from the dollar demand from oil importers though local equities traded strong. The trading range for the spot USD/INR pair is expected to be within 61.60 to 62.40.