The rupee trimmed its early losses, but was still quoted down by 27 paise to 57.78 against the American currency in the late morning trade on fresh dollar demand from banks and importers on the back of higher dollar overseas.The rupee resumed lower at 57.70 per dollar as against the last weekend's level of 57.51 per dollar at the Interbank Foreign Exchange, Forex Market and dropped further to 57.85 per dollar.However, its trimmed losses afterwards to 57.65 per dollar before quoting at 57.78 per dollar.