The NSE Nifty has breached the historical 10,000 mark in opening trade today. While, the benchmark BSE Sensex hit a new high of 32,374.30 by rising by 128.43 points. Meanwhile, the rupee weakened by 5 paise to trade at 64.39 against the US dollar in opening session at the Interbank Foreign Exchange today. The rupee had shed 2 paise to end at 64.34 against the US currency yesterday.