Sharp fall in equity market amid foreign fund outflows also affected rupee value against the dollar, a forex dealer said.
In the overseas market, dollar soared against most of its rivals on last Friday, hitting a 13-year high against the Japanese yen, after a strong jobs report indicated the US economy bounced back strongly in May, sparking a surge in treasury yields.
The rupee resumed lower at 64.05 per dollar as against the last weekend's level of 63.75 per dollar at the Interbank Foreign Exchange (Forex) Market and dropped further to 64.1675 before ending at a four-week low at 64.08 per dollar, showing a loss of 33 paise or 0.52 per cent.
The dollar index was trading lower by 0.22 per cent against its major global rivals today.
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Meanwhile, the benchmark BSE Sensex continued its downward march for the fifth trading session, ending lower by 245.40 points or 0.92 per cent.
Pramit Brahmbhatt, Veracity Group CEO said: "Today rupee traded low and depreciated over 30 paise for the day to close at 64.08. Weak local equities and strong dollar dented rupee movement and forced it to shed over half a per cent for the day."