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Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was trading 0.17 per cent down at 90.81.
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Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was up 0.07 per cent to 90.85.
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Maruti was the top gainer in the Sensex pack, rising around 3 per cent, followed by Bajaj Auto, M&M, HCL Tech, UltraTech Cement, HDFC and ONGC.
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Similarly, the broader NSE Nifty rose 97.20 points or 0.73 per cent to an all-time closing high of 13,355.75. It touched its record intra-day peak of 13,366.65 in early trade.
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The Reserve Bank of India on Friday maintained status quo for the third time in a row and kept benchmark lending rate unchanged at 4 per cent.
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UltraTech Cement was the top gainer in the Sensex pack, rising around 4 per cent, followed by L&T, M&M, Maruti, ONGC, Bharti Airtel, PowerGrid and ITC.
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In volatile trade, the local unit also touched 73.89 against the American currency.
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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.