Robust capital inflows into the domestic equities and also weak dollar overseas against its major rivals also boosted the market sentiment.
The home currency opened lower at 67.23 a dollar as compared to overnight closing level of 67.20 at the Interbank Foreign Exchange (Forex) market here on bouts of dollar demand from importers and banks.
It largely traded in a narrow range in scattered deals as lack of definite cues restricted the momentum during the initial hour of trade.
The rupee had lost 29 paise in previous two days.
The RBI fixed the reference rate for the dollar at 67.1462 and euro at 74.3443.
In cross-currency trades, the rupee strengthened further against the pound sterling to settle at 88.30 against 89.06 yesterday and edged up against the euro to end at 74.12 from 74.28.
The domestic unit also rebounded against the Japanese yen to finish at 63.21 per 100 yen from 63.56 earlier.
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