Rise in crude oil prices also affected the rupee-value against the dollar, a forex dealer said.
The rupee resumed lower at 66.90 as against the last weekend's level of 66.77 per dollar at the Interbank Foreign Exchange (Forex) Market and moved down to 66.91 on initial heavy dollar demand from banks.
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The domestic currency has lost 24 paise or 0.36% in the last three trading sessions.
The rupee had last ended at 67.22 per dollar on March 16, 2016.
The domestic currency hovered in a range of 66.7225 and 66.9100 per dollar during the day.
The dollar index was down by 0.0074% in the late global trade against a basket of six global currencies.
Meanwhile, the RBI fixed the reference rate for the dollar at 66.8216 and euro at 75.5953.
In cross-currency trades, the rupee firmed up further against the pound sterling to finish at 95.99 from the last weekend's level of 96.27.
It also moved up further against the euro to 75.62 from 75.80.
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