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With the win in Centurion, India took a 1-0 lead in the three-match series which is a part of the World Test Championship (WTC).
Rahul, whose best in the format is the eighth position that he attained in November 2017, struck 123 in the first innings and was associated with an important 117-run opening partnership with Mayank Agrawal (60) as India became the first Asian team to win a Test match at the venue while gaining important points in the WTC points table.
Agarwal has gained one place for his contribution, while Ajinkya Rahane is up two places to 25th in the latest update that is carried out on Wednesdays and includes all matches that are completed by Tuesday each week.
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For South Africa, captain and opener Dean Elgar has progressed two spots to 14th after a fighting 77 in the second innings, while Temba Bavuma was up 16 places to 39th for his scores of 52 and 35 not out.
Kagiso Rabada, who grabbed seven scalps, has advanced one place to sixth position while his fellow fast bowler Lungi Ngidi has gained 16 slots and is 30th on the list after finishing with eight wickets in the match. Debutant left-arm fast bowler Marco Jensen entered the rankings in 97th position.