The BSE barometer has gone up by 745 points in the last five sessions and now stands at over two-week high levels.
Strengthening of rupee by 42 paise against the American currency (intra-day) too supported the ally.
Fed Chief Yellen after two-day Federal Open Market Committee yesterday said: "...Although policy will be data dependent, economic conditions are currently anticipated to evolve in a manner that will warrant only gradual increases in the target federal funds rate."
The index finally settled 283.17 points higher or 1.06 per cent at 27,115.83.
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The 50-share NSE Nifty index recaptured the 8,100-mark by rising 83.05 points or 1.03 per cent to close at 8,174.60.
Out of 30 Sensex stocks, 20 closed with gains.
Among Sensex gainers, RIL topped the list by climbing over 5 per cent on continued optimism about the company's plans to start 4G phone services later this year.
Maruti Suzuki, Dr Reddy's, Tata Motors, Sun Pharma, ONGC, Hindalco, HDFC Bank, SBI and HDFC were among other gainers.
Sectorwise, oil & gas index rose the most by gaining 2.63 per cent, followed by consumer durables 2.12 per cent, healthcare (1.34 pc), auto (1.17 pc), capital goods (0.87 pc), bankex (0.84 pc), power (0.56 pc) and IT (0.54 pc).
Globally, other Asian markets ended lower and European markets were negative in their opening trade.