The 30-share benchmark index closed higher by 147.94 points, or 0.77 per cent, at 19,325.87 points, a level not seen since last week. It hovered in a wide range of 19,344.28 and 19,084.68 points during the day.
"Positive global markets and buying from lower levels after many stocks reached oversold zone, boosted the market sentiment," Bonanza Portfolio Senior Research Analyst Nidhi Saraswat said.
"The move was largely anticipated by market participants after recent weakening of rupee; however the change in tone comes as positive surprise," said Kunal Shah, Fund Manager - Debt, Kotak Mahindra Old Mutual Life Insurance Ltd.
"The guidance provided by RBI is in sharp contrast to way it communicated in past when it perceived monetary space was shrinking," he added.
RBI in its mid-quarter policy review said a durable receding of inflation will open up the space for monetary policy to continue to address risks to growth.
Mahindra &Mahindra rose the most by 4.43 per cent. "The street was upbeat on the stock after it's auto component business made a deal with Spanish auto major CIE," Inventure Growth & Securities Chairman & MD Nagji K Rita said.
Bharti Airtel gained close to 2 per cent after it allotted around 200 million shares to Doha-based Qatar Foundation Endownment for around Rs 6,796 crore, Rita said.
RIL and Infosys too rose by over 1 per cent helping the barometer post gains for second session in a row.
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