The NSE Nifty too reclaimed the 7,800-mark as the market had already priced in the US Fed move.
The rupee was jumpy, up 23 paise at 66.50 (intra-day) against the dollar, which kept the mood upbeat.
Global markets ruled firm after the US Fed, as expected, hiked rates by 0.25 per cent, a hint that the economy is strengthening, which influenced sentiment and buying activity gathered pace, brokers said.
Intra-day, it slipped into the negative zone briefly as participants locked in gains amid lingering uncertainty over the passage of the key GST Bill. The gauge had gained about 450 points in the previous three sessions.
The broader NSE Nifty recaptured the 7,800-mark by surging 93.45 points, or 1.21 per cent, at 7,844.35 after shuttling between 7,852.90 and 7,737.55.
Out of the 30-share Sensex pack, 25 ended higher.
Meanwhile, Fitch Ratings said India is not immune to potential market jitters on account of interest rate hike by the US Fed, but favourable economic growth outlook makes it attractive for foreign investors.
Other prominent gainers included RIL, Bajaj Auto, M&M, Sun Pharma and Hero MotoCorp.
Sector-wise, the BSE metal index gained the most by surging 2.46 per cent, followed by power 1.44 per cent, healthcare 1.39 per cent and auto 1.33 per cent.
Meanwhile, foreign investors sold shares worth Rs 503.22 crore yesterday, showed provisional data.
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