The rupee is trading at 60.84, unchanged from its 60.83/84 close.
It pared early gains on dollar strength globally after a fall in US jobless claims.
Shares edged higher, but gains were smaller than on Thursday.
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Rupee was driven by hopes of continued foreign fund buying in shares and bonds.
Some relief was seen after Scotland voted against breaking from the United Kingdom. A 'yes' vote would have sparked volatility in FX markets, traders said.