The rupee fell to 60.10/11 compared with Friday's close of 59.93/94, due to some dollar demand from oil marketing companies and core inflation data.
Core wholesale inflation of around 3.9% in June was slightly higher than market expectations, according to traders, even as the headline wholesale price inflation eased to a four-month low of 5.43%.
Markets await consumer price inflation data due to be announced after market hours for further direction.
The rupee is seen moving in a 60.05 to 60.20 range until close.