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Tata Steel was the top gainer in the Sensex pack, rising around 2 per cent, followed by Maruti, ONGC, HDFC Bank, Tech Mahindra, L&T, HCL Tech and SBI.
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At the interbank forex market, the domestic unit witnessed a highly volatile trading session. It opened at 73.45, pared the gains and finally closed at 73.81 against the greenback.
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The dollar index, which gauges the greenback's strength against a basket of six currencies, was down 0.17 per cent to 91.15.
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The broader NSE Nifty was down by 15.30 points or 0.12 per cent at 13,093.75 in opening trade.
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Besides, positive developments on COVID-19 vaccine front, improved domestic macro-economic data and weakness of the American currency against key rivals also supported the rupee.
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UltraTech Cement was the top gainer in the Sensex pack, rising about 2.5 per cent, followed by Infosys, Sun Pharma, Bajaj Auto PowerGrid, ICICI Bank and IndusInd Bank.
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The dollar index, which gauges the greenback's strength against a basket of six currencies, was down 0.04 per cent to 91.95.
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NTPC was the top gainer in the Sensex pack, rising around 2 per cent, followed by Bajaj Auto, Maruti, Tech Mahindra, L&T, Asian Paints and Bajaj Finance.
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Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was down 0.07 per cent to 91.93.
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Bajaj Auto was the top gainer in the Sensex pack, rising around 2 per cent, followed by M&M, L&T, HDFC, Bharti Airtel, Sun Pharma, UltraTech Cement, Titan and Tata Steel.
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Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was down 0.16 per cent to 92.08.
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ONGC was the top gainer in the Sensex pack, surging around 5 per cent, followed by SBI, ICICI Bank, Bajaj Auto, HDFC Bank, Reliance Industries and Axis Bank.
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The dollar index, which gauges the greenback's strength against a basket of six currencies, was down 0.13 per cent to 92.26.
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IndusInd Bank was the top gainer in the Sensex pack, surging around 5 per cent, followed by Bajaj Finserv, Bajaj Finance, Reliance Industries, ONGC, NTPC and Tata Steel.
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Traders said sustained foreign fund inflows into the domestic equity markets also helped the local unit.
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Bajaj Finserv was the top gainer in the Sensex pack, advancing over 2 per cent, followed by Tata Steel, Titan, Bajaj Finance, HDFC twins and Kotak Bank.
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The dollar index, which gauges the greenback's strength against a basket of six currencies, rose 0.16 per cent to 92.46.
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PowerGrid was the top laggard in the Sensex pack, shedding over 2 per cent, followed by Axis Bank, ICICI Bank, HDFC duo, Asian Paints and Bharti Airtel.
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The rupee on Tuesday appreciated 16 paise to settle at 74.46 against the US dollar.
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The dollar index, which gauges the greenback's strength against a basket of six currencies, dipped 0.15 per cent to 92.50.