"As it was his team’s first offence of the season under the IPL’s Code of Conduct relating to minimum over-rate offences, Mr. Rahane was fined Rs 12 lakh," read an official IPL statement.
Rajasthan Royals suffered their third straight defeat on Sunday night when they lost to Super Kings by eight runs.
The struggling outfit next host Royal Challengers Bangalore in Jaipur on Tuesday.
Earlier, Mumbai Indians (MI) captain Rohit Sharma was fined after his team maintained a slow over-rate during their Indian Premier League (IPL) match against Kings XI Punjab (KXIP) in Mohali.
As it was his team's first offence of the season under the IPL's Code of Conduct relating to minimum over-rate offences, Rohit was fined Rs 12 lakh on Saturday.