The 24-year-old Karnataka batsman had started the series in the 57th position and has gained 46 places over four Tests following scores of 64, 10, 90, 51, 67, 60 and 51 not out.
Rahul is now India's third highest-ranked batsman after Cheteshwar Pujara (4) and Virat Kohli (5), who lost two and one place respectively.
Rahul is ahead of Ajinkya Rahane (14th, up by three places) and Murali Vijay (34th, down by four places).
Yadav took two for 69 and three for 29 in the match, earning him a rise of five places.
In the all-rounders' list, Jadeja replaced Ahwin in the second position to be behind top-ranked Bangladeshi Shakib Al Hasan. Jadeja took four wickets and scored 63 runs in Dharamsala to walk away with the player of the series award.
Australia captain Steve Smith has successfully defended his number-one position and is currently 61 points ahead of his New Zealand opposite number, Kane Williamson, who has moved up two places to second following his 176 in the Hamilton Test.
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