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Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was trading 0.03 per cent lower at 90.44.
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In the Sensex pack, Mahindra and Mahindra, Asian Paints, Tata Steel, Bajaj Finance, ONGC and HDFC were the prominent gainers.
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Axis Bank was the top loser in the Sensex pack, shedding around 2 per cent, followed by ONGC, M&M, ICICI Bank, Asian Paints, SBI, HUL, L&T, Titan, Infosys and TCS.
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After touching its record intra-day peak of 46,373.34, the 30-share BSE Sensex ended 154.45 points or 0.34 per cent higher at 46,253.46, its new closing record.
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ONGC was the top gainer in the Sensex pack, rallying around 3 per cent, followed by Tata Steel, L&T, Sun Pharma, M&M, ICICI Bank and NTPC.
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Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was trading down 0.20 per cent at 90.79.
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On Thursday, the rupee snapped its two-day winning streak to close 9 paise lower at 73.66 against the US dollar.
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Around 1.55 p.m., it was trading at 46,030.43, higher by 421.92 points or 0.93 per cent from its previous closed.
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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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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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In volatile trade, the local unit also touched 73.89 against the American currency.
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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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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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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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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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The dollar index, which gauges the greenback's strength against a basket of six currencies, was down 0.13 per cent to 92.26.