Mumbai, June 4 -- Euro fell sharply against the US dollar yesterday, coming off a six-week high as markets eyed tepid inflation readings from Eurozone. Euro tumbled around 0.60% against the US dollar as Eurozone inflation eased in May largely due to the slowdown in services inflation. Flash data from Eurostat showed that inflation eased to 1.9% in May, slightly below the central bank's target of 2 percent. Core inflation that strips out prices of energy, food, alcohol and tobacco, also slowed to 2.3% from 2.7%. EUR/USD pair is currently holding flat around 1.1390 mark. This movement took a toll on the local EURO/INR futures on the NSE initially which opened lower at 97.70 mark before moving up. It currently holds at 97.95 right now, up 0....