The rupee is trading at 60.14/15, after hitting 60.1050, its highest since July 17 and versus the previous close of 60.24/25.
The Nifty is up 0.24% and will be watched for clues on foreign fund flows.
Importer dollar demand to meet month-end payment commitments will limit gains in the rupee.
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The rupee is seen in 60.00 to 60.30 range during the day.
Most Asian units are trading stronger against the dollar.