Besides, a firming trend at other Asian markets also influenced trading sentiments, brokers said.
The 30-share index regained the 28,000-level by zooming 692.61 points, or 2.53 per cent, to quote at 28,039.43, a level last seen on December 9.
The gauge had shed 238.45 points in the previous two sessions.
All the sectoral indices, led by realty, banking and auto, were trading in positive zone with gains up to 6.74 per cent.
Brokers said sentiments bolstered by the RBI's surprise move to cut repo rate by 0.25 per cent to 7.75 per cent with a view to boost economic growth.
Besides, better-than-expected quarterly earnings by some blue-chip companies and a better trend at other Asian bourses boosted sentiments.
Prominent gainers among the 30 Sensex stocks were HDFC Ltd, ICICI Bank, SBI, M&M, Tata Power, Axis Bank, L&T, Maruti Suzuki, RIL, ITC Ltd, Tata Motors, HDFC Bank, TCS, Bajaj Auto, Wipro Hero MotoCorp, NTPC, BHEL, Bharti Airtel and Infosys lifing the key indices sharply higher.
Measured in terms of total market capitalisation of all listed companies on the country's biggest bourse BSE, the overall investor wealth in the Indian stock market rose to Rs 1,00,07,341 crore today.
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