Dealers said selling of the American currency by banks and exporters and firm stock markets supported the rupee.
The Reserve Bank on Friday announced that it will sell government bonds worth Rs 22,000 crore every Monday to check volatility in the forex market.
Analysts had said that people who have long positions on the dollar may take a hit due to RBI measures as liquidity is expected to go out of the system.
Meanwhile, the BSE benchmark index Sensex gained 162.65 points, or 0.86 per cent, to 18,951.99 in early trade today.
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