Sensex, Nifty, Stock Market: On June 2, the first trading day of the month, the BSE Sensex ended at 81,373.75, down by 77.26 points, or 0.09 per cent. The Nifty 50 index also ended at 24,716.60, down by 34.1 points or 0.14 per cent. The headline indices have extended gains for the second straight day on June 2.