The Sensex and Nifty opened at fresh record levels in early trade today, December 6, 2024. The Sensex started trading today at 81813.94, up 48.08 points or 0.06%, and the Nifty was at 24748.15, up 39.75 points or 0.16%. Meanwhile, the Indian rupee was trading today at 84.64 against the dollar.