A bowler gives 15 runs per wicket. He gives 30 runs and takes 5 wickets in a last match after which his average becomes 13.5 runs per wicket. How many wickets had been taken by him till the last match?
Bowling average = (total runs conceded)/(total wicket taken ) Let the total number of wickets be x Then, bowling average = 15 Runs conceded = 15 x Now, (15 x + 30)/(x + 5)= 13.5 15x + 30 = 13.5 (x + 5) 15 x + 30 = 13.5 x + 67.5 1.5 x = 67.5 – 30 x = 37.5/1.5 = 25
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