Dealers cited thin dollar supply due to the President's Day holiday in the United States on Monday.
Consistent dollar demand from a large state-run bank, likely to meet the needs of its oil refining clients, also pulled down the rupee, they said.
The rupee has been largely stable even after the US Federal Reserve started tapering its bond buying programme, having cut it to $65 billion a month.
India's Finance Minister Palaniappan Chidambaram said on Monday that the current account deficit would come in at $45 billion in the current fiscal year, sharply lower than $88 billion in the previous year.
Presenting his last budget before facing elections due by May, Chidambaram bettered his previous fiscal deficit target of 4.8 per cent for the current fiscal year and said he will achieve 4.1 per cent in the next.
India's large fiscal and current account deficits have been a sore point for foreign investors and rating agencies.
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