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A cricket player whose bowling average is 22.5 runs per wicket, takes 4 wickets for 52 runs in the next match and thereby improves his average by 0.5. Find the number of wickets taken by him till date. (Note: Bowling average = Total runs conceded / Total wickets taken)

A cricket player whose bowling average is 22.5 runs per wicket, takes 4 wickets for 52 runs in the next match and thereby improves his average by 0.5. Find the number of wickets taken by him till date. (Note: Bowling average = Total runs conceded / Total wickets taken) Correct Answer 76

Suppose the number of wickets taken by the player till date = x

In bowling, when the average is improved that means average must have decreased:

⇒ (22.5 - 0.5) = (22.5x + 52) / (x + 4)

⇒ 22x + 88 = 22.5x + 52

⇒ 0.5x = 36

⇒ x = 72

∴ Number of wickets taken by him till date = 72 + 4 = 76

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