The rupee fell for a second day as sluggish domestic equities along with continued selling by foreign investors kept pressure on the domestic currency.
A broadly weak greenback overseas on the other hand cushioned the losses.
Global markets tumbled after British Prime Minister Theresa May made a surprise announcement of early elections on June 8, while investors also kept an eye on continuing tensions in the Korean peninsula.
Domestic bourses remained under selling pressure for a fourth straight session due to continued profit-taking in key frontline heavyweights amid concern about corporate earnings.
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It touched an intra-day high of 64.47 briefly in afternoon deals before reversing all of its recovery gains to end at 64.63, showing a loss of 11 paise, 0.17 per cent.
The RBI fixed the reference rate for the dollar at 64.5657 and for the euro at 68.7431.
In worldwide trade, the greenback traded little changed against its six major counterparts. The dollar index was trading lower by 0.34 per cent at 99.86.
But, it recovered against the Japanese yen to settle at 59.36 per 100 yens from 59.54.
On the equity front, benchmark BSE Sensex declined over 94 points to end at 29,319.10, while broader Nifty fell 34.15 points to 9,105.15.
In the forward market today, premium for dollar declined further owing to persistent receivings from exporters.
The benchmark six-month premium for September edged lower to 146-148 paise from 148-150 paise and the far-forward March 2018 also moved down to 303-305 paise compared to 306-308 paise yesterday.
The global benchmark Brent crude futures were down 49 cents at USD 54.87 a barrel in early trade.
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