While fresh capital outflows also weighed on the rupee, the local currency's decline was restricted by some weakness in the dollar overseas on concerns of a US budgetary impasse.
The rupee opened lower at 63 a dollar from Friday's close of 62.51 at the interbank foreign exchange market. It declined to a low of 63.03 on month-end dollar demand from importers, mainly oil refiners, and sluggish domestic stocks.
This was the lowest level since September 24 (62.75).
However, the rupee gained 310 paise or 4.7 per cent in September -- the first monthly gain since April.
"It was seen depreciating ahead of the key data which includes June quarter CAD data and the fiscal deficit for the April-August period," said Abhishek Goenka, CEO of India Forex Advisors. "The slump in the global stock markets and Asian currencies contributed to the weakness in the Indian rupee."
FIIs sold a net Rs 244.95 crore of shares last Friday, according to provisional data with the stock exchanges.
The dollar index, which tracks the USD against a basket of six major currencies, was down by 0.02 per cent.
Government data released after the markets closed showed the CAD widened to 4.9 per cent of GDP in April-June quarter.
Pramit Brahmbhatt, CEO of Alpari Financial Services (India) said: "The dollar came under pressure today...As a potential US government shutdown possibility was seen, while the euro was separately pressured by the threat of fresh Italian elections.
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