The dollar also lost some ground against other currencies in the overseas forex markets.
The rupee resumed higher at 55.55 per dollar as against the last weekend's level of 55.73 per dollar at the Interbank Foreign Exchange (Forex) Market and moved between 55.61 and 55.49 before quoting at 55.57 at 1040hrs.
In New York, the euro made slight gains against the dollar yesterday, after the European Central Bank called "misleading" a news report that it was planning to cap government-bond yields in the euro zone.
Meanwhile, the BSE 30-stock index, Sensex, resumed higher at 17,705.14 and was up 86.04 points or 0.49 per cent at 17,777.12 at 1050hrs.