Forex traders said weak domestic equities and foreign fund outflows weighed on the local unit and restricted the appreciation bias.
At the interbank foreign exchange, the domestic unit opened at 81.11 against the dollar, then gained further ground to touch 81.08, registering a rise of 18 paise over its previous close.
On Thursday, the rupee appreciated by 4 paise to close at 81.26 against the US dollar.
Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, fell 0.01 per cent to 104.71.
Brent crude futures, the global oil benchmark, advanced 0.22 per cent to USD 87.07 per barrel.
In the domestic equity market, the 30-share BSE Sensex was trading 259.39 points or 0.41 per cent lower at 63,024.80. The broader NSE Nifty fell 71.60 points or 0.38 per cent to 18,740.90.
Meanwhile, the collections from Goods and Services Tax (GST) grew by 11 per cent to about Rs 1.46 lakh crore in November.
This is the ninth month in a row that the revenues have remained above the Rs 1.4 lakh crore mark. However, the collection in November was the lowest since August.
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