Question

A bowler gives 15.2 runs per wicket. He gives 32 runs and takes 4 wickets in the last match after which his average becomes 14.4 runs per wicket. How many wickets have been taken by him before the last match?

A 43 Correct Answer Incorrect Answer
B 32 Correct Answer Incorrect Answer
C 28 Correct Answer Incorrect Answer
D 36 Correct Answer Incorrect Answer

Solution

Bowling average = (Total run conceded)/(Total wicket taken) Let the total number of wickets be x Then, bowling average = 15.2 Runs conceded = 15.2x Now, (15.2x+32)/(x+4) = 14.4 15.2x + 32 = 14.4 (x + 4) 15.2x + 32 = 14.4x + 57.6 0.8 x = 57.6 – 32 x = 25.6/0.8 = 32

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