The dollar index rose 0.35 per cent to 104.02.
Randeep Surjewala wrote in his tweet, 'Rupees in ICU today in the history of India.
The rupee had closed 55 paise lower at 76.90 against the dollar on Friday.
Rupee hits all-time low
For the first time the price of one dollar crossed ₹77, 1 US dollar now ₹77.40 ₹