The Sensex and Nifty rose about 1 percent each on Monday, boosted by a surge in Asian and European markets, a drop in Brent crude oil prices, and buying by foreign investors.
The 30-share BSE Sensex surged 560.29 points or 0.77 percent to 73,648.62. During the day, it climbed 679.47 points or 0.92 percent to 73,767.80.
The NSE Nifty advanced 189.40 points or 0.86 percent to 22,336.40.
Interglobe Aviation, Zydus, PNB, ABB India, Canara Bank, JIO Financial Serv., United Spirits, Havells India, Siemens, BPCL, and Tata Consumer were the top gainers.
Among the laggards were NTPC, Bosch, GAIL (India), ICICI Prudential, Vedanta, and HDFC Bank.
In Asian markets, Seoul, Tokyo, and Hong Kong ended higher, while Shanghai concluded lower.
European stock markets were trading higher.
US markets concluded on a mixed note on Friday.
Brent crude lost 0.80 percent to $86.64 per barrel.
According to exchange data, Foreign Institutional Investors (FIIs) bought securities worth Rs 129.39 crore.
On Friday, the Sensex soared 599.34 points or 0.83 percent to 73,088.33, while the Nifty went up 151.15 points or 0.69 percent to 22,147.
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