New Delhi, Feb. 3 -- The Indian stock markets staged a strong rally on Tuesday, buoyed by optimism over the Indo-US trade deal, with both the BSE Sensex and NSE Nifty 50 posting significant gains.

The BSE Sensex soared 2,072 points, or 2.54pc, to close at 83,739.13, while the Nifty 50 climbed 639 points, or 2.55pc, to settle at 25,727.55. The Sensex opened at 85,323.20, touched a high of 85,871.73, and recorded a low of 83,501.22, while the Nifty ranged between 25,641.30 and 26,341.20 during the session.

Markets opened on a buoyant note, with sentiment lifted by the trade deal that slashed duties on Indian exports to the US from 50 per cent to 18 per cent, easing a major source of uncertainty that had weighed on equities for months.

"The...