Extending losses for the sixth straight session, the rupee on Thursday plummeted by 39 paise to hit an over two-month low of 67.36 a dollar on persistent demand for the American currency from banks and importers, amid higher greenback overseas and a sharp fall in equities. The rupee resumed lower at 67.15 a dollar against Thursday’s closing level of 66.97 at the Interbank Foreign Exchange and dropped further to 67.39 before ending at a fresh two-month low of 67.36.