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A cricketer whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs and thereby decreases his average by 0.85. The total number of wickets taken by him now was:

A cricketer whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs and thereby decreases his average by 0.85. The total number of wickets taken by him now was: Correct Answer 85

Let initial wickets taken be x

Total runs = 24.85x

New average = 24.85 - 0.85 = 24

Total wickets = x + 5

Total runs = 24(x + 5)

24(x + 5) - 24.85x = 52

⇒ 120 - 0.85x = 52

⇒ x = 80

Total initial wickets taken = 80

Number of wickets taken by him till last match = 80 + 5 = 85

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