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The 30-share BSE Sensex climbed 402.73 points or 0.65 percent to settle at 62,533.30. During the day, it jumped 437.35 points or 0.70 percent to 62,567.92.
The broader NSE Nifty advanced 110.85 points or 0.60 percent to end at 18,608.
From the Sensex pack, IndusInd Bank, Bajaj Finance, Infosys, Tata Consultancy Services, HCL Technologies, Mahindra & Mahindra, Tech Mahindra, and Bajaj Finserv were among the biggest winners.
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Elsewhere in Asia, equity markets in Tokyo and Hong Kong ended in positive territory, while Shanghai and Seoul settled lower.
Equity exchanges in Europe were trading in the green in mid-session deals. The US markets had ended higher on Monday.
Retail inflation dipped below the RBI’s upper tolerance level of 6 percent for the first time in 11 months in November as softening prices of food items brought relief.
International oil benchmark Brent crude climbed 1.60 percent to USD 79.24 per barrel.
Foreign Institutional Investors (FIIs) remained net sellers in the capital markets on Monday as they offloaded shares worth Rs 138.81 crore, according to exchange data.