A cricketer gives 12.4 runs per wicket. He gi | vedclass

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(A) Let the number of wickets taken by the cricketer before the last match be $x$.The total runs conceded before the last match is $12.4x$.In the last

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$85$

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(A) Let the number of wickets taken by the cricketer before the last match be $x$.The total runs conceded before the last match is $12.4x$.In the last match,he gave $26$ runs and took $5$ wickets.Total runs after the last match $= 12.4x + 26$.Total wickets after the last match $= x + 5$.According to the problem,the new average is $12$ runs per wicket:$\frac{12.4x + 26}{x + 5} = 12$$12.4x + 26 = 12(x + 5)$$12.4x + 26 = 12x + 60$$12.4x - 12x = 60 - 26$$0.4x = 34$$x = \frac{34}{0.4} = \frac{340}{4} = 85$Therefore,the cricketer had taken $85$ wickets till the last match.

$A$ cricketer gives $12.4$ runs per wicket. He gives $26$ runs and takes $5$ wickets in a match,after which his average becomes $12$ runs per wicket. How many wickets had been taken till the last match?

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