The Sensex and Nifty opened at fresh record levels in early trade today, December 13, 2024. The Sensex started trading today at 81212.45, down 77.51 points or 0.10%, and the Nifty was at 24498.35, down 50.35 points or 0.21%. Meanwhile, the Indian rupee was trading today at 84.85 against the dollar.