The Indian rupee fell by 8 paise to 44 rupees 90 paise per US dollar in early trade today on fresh demand from importers and banks, despite firm domestic equity markets and strengthening of the dollar overseas.At the Interbank Forex Exchange, the rupee resumed slightly higher at 44 rupees 80 paise per dollar, but later it declined to 44 rupees 85 paise per dollar as against the previous closing level. Meanwhile, the Euro hit a one-month high against the dollar on Thursday as Greece agreed to new measures to cut its deficit, mitigating fears over its debt crisis and making investors shift their focus to the US economy.