The rupee is trading at 61.23/24 versus its Tuesday's close of 61.31/32.
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Gains in the domestic share market help the Indian unit.
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The Nifty rises 0.8 per cent.
Traders expect ranged trading to continue in the holiday-shortened trading week.
Markets to remain closed on Thursday and Friday on account of Diwali.
Most other Asian currencies also trading stronger compared to the dollar.
Copyright: Thomson Reuters 2014