Benchmark equity indices rebounded on Tuesday, hitting their new record close levels on the back of gains in auto and FMCG stocks and foreign fund inflows. The BSE Sensex climbed 391.26 points or 0.49 per cent to settle at a new closing high of 80,351.64. The NSE Nifty50 jumped 112.65 points or 0.46 per cent to 24,433.20 its record closing high. Most sectors ended in green with buying seen in Auto, Consumer Durables, Pharma, and PSU Bank.