The Sensex and Nifty opened at fresh record levels in early trade on Monday, January 5, 2025. The Sensex started trading today at 85725.52, down at 36.49 points or 0.04%, and the Nifty was at 26321.60, down at 6.95 points or 0.03%. Meanwhile, the Indian rupee was trading today at 90.22 against the dollar.