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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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ONGC was the top gainer in the Sensex pack, rallying around 6 per cent, followed by SBI, NTPC, Bajaj Finance, Tata Steel, Bajaj Finserv, HDFC and Reliance Industries.
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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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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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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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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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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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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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The dollar index, which gauges the greenback's strength against a basket of six currencies, dipped 0.15 per cent to 92.50.
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The dollar index, which gauges the greenback's strength against a basket of six currencies, fell 0.02 per cent to 93.02.
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Reliance Securities in a report said that the uptick in the rupee was supported by foreign portfolio flows.
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At the interbank forex market, the domestic unit opened at 74.35 against the US dollar, then gained further ground and touched 74.29, registering a rise of 47 paise over its previous close.
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The newly-constituted MPC of the Reserve Bank began its three-day deliberations on Wednesday. The decision of the rate-setting panel will be announced on October 9.
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Silver, however, rose Rs 126 to Rs 63,427 per kg, from Rs 63,301 per kg in the previous trade
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Dollar index, which gauges the greenback's strength against a basket of six currencies, was trading 0.13 per cent down at 93.39.