Scheepers, who finished runner-up to Mona Barthel in the Swedish Open at the weekend, surged 20 places from a previous ranking of 91.
In the doubles she dropped from 99th place to 108th.
The country’s top men’s player Kevin Anderson remained in 17th place in the latest ATP World Tour singles rankings.
Fritz Wolmarans climbed 56 places for a 489th ranking among the top 500 singles players.
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