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After touching its record intra-day high of 40,931.71, the 30-share BSE Sensex ended 529.82 points or 1.31 per cent, higher at 40,889.23.
Similarly, the broader NSE Nifty settled just shy of its life-time closing high, up 159.35 points, or 1.34 per cent, at 12,073.75.
Bharti Airtel was the top gainer in the Sensex pack, rallying over 7.20 per cent, followed by Tata Steel 4.99 per cent, IndusInd Bank 3.49 per cent, Axis Bank 3.26 per cent and HDFC 2.57 per cent.
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According to traders, domestic benchmarks followed global equities which were enthused by reports that a preliminary trade deal between the US and China may be signed by the end of this year.
Bourses in Shanghai, Hong Kong, Seoul, and Tokyo were trading up to 1.50 per cent higher.
Stocks in Europe were also trading on a positive note.
On the currency front, the rupee was flat against the US dollar at 71.71.
Brent futures, the global oil benchmark, rose 0.11 per cent to USD 62.44 per barrel.