The domestic currency yesterday closed with 13 paise gains at a near three-week high of 63.91.
The rupee sentiment was also hit by performance of domestic bourses, where both the Sensex and the Nifty saw a sharp fall in line with a general weakness across the globe.
The rupee today resumed lower at 63.95 per dollar at the interbank foreign exchange (forex) market against yesterday's closing level of Rs 63.91 a dollar.
The RBI, meanwhile, fixed the reference rate for the dollar at 64.0174 and for the euro at Rs 76.7505.
However, weakness in dollar against major rivals overseas on renewed North Korea crisis capped the rupee losses to some extent, said a dealer.
The Korean peninsula was on the boil after North Korea fired the ballistic missile that flew over Japan before plunging into the Pacific Ocean, officials said today, in a clear message of defiance as Washington and Seoul conduct war games nearby.
The dollar index against a basket of six major currencies were trading marginally up by 0.01 per cent at 92.20.
The Sensex hurtled straight down to 31,388.39 -- a one- week low -- plunging over 362 points and the NSE Nifty cracked below the 9,800 mark, registering their first loss after a four-day winning streak.
In cross-currency trades, the rupee extended its fall against the pound sterling to finish at 82.91 per pound from 82.53 and also drifted lower against the euro to settle at 77.10/12, against 76.22 earlier.
The US dollar continued its prolonged Fed-driven weakness against all its major rivals on growing concerns about US President Donald Trump's ability to drive his economic agenda even as the heavily anticipated speech by Federal Reserve Chair Janet Yellen in Jackson Hole failed to provide stronger policy guidance.
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