The rupee inched up by 2 paise to 61.89 against the American currency in the late morning trade on selling of dollars by banks and exporters due to weakness of the greenback overseas. The rupee resumed higher at 61.88 per dollar as againstthe last closing level of 61.91 at the Interbank Foreign Exchange market. In the overseas market, the dollar dropped against the euro and other major currencies yesterday as Treasury yields edged lower.