The flagship Sensex broke through the 32,000-mark for the first time ever, which gave the uptrend more lift according to traders. The BSE Sensex climbed 215 points to 32,020 in early session today and Nifty too hit a fresh life high of 9,878. Meanwhile, the rupee strengthened 15 paise to 64.39 against the dollar today, backed up by record-shatteringstocks, as foreign capital stayed on an upward trajectory. The level of dollar selling by exporters and banks intensified, too. A muted show by the greenback against other currencies overseas added momentum to the rupee.