The domestic stock markets fell sharply in trade today led by declines in Reliance Industries, ICICI Bank, Infosys, Tata Consultancy Services and IndusInd Bank. The Sensex slumped as much as 576 points to fall below 36,000 and the NSE Nifty 50 index dropped as much as 170 points to fall below its important psychological level of 10,700 to hit an intraday low of 10,670.