Kush's bowling average (runs conceded per wicket) decreased by 0.6 runs/wicket when he took five wickets and conceded 41 runs,in a match.If his initial average was 22 runs/wicket,how many runs did he concede before his match?
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The runs conceded by the bowler = 2420
Let the number of wickets taken till last match=x
The total number of runs conceded upto last match = 22x
Number of wickets in the match = 5 and runs conceded = 41.
Total wickets = x +5
Total runs conceded = 22x + 41
Average = (22x + 41)/(x+5) = 22-0.6
=> 21.4 = (22x+41)/(x+5)
=> 21.4x + 107 = 22x + 41
=> 0.6x = 66
=> x = 110
The number of wickets taken = 110
Number of runs conceded before the last match = 22x
= 2420
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