A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby de

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A cricketer whose bowling average is $12.4$ runs per wicket takes $5$ wickets for $26$ runs and thereby decreases his average by $0.4$ The number of wickets taken by him till the last match was

A

$64$

B

$72$

C

$80$

D

$85$

Solution

Let the number of wickets taken be $x$.

$\frac{12.4 \times x+26}{x+5}=12$

$12.4 x+26=12 x+60$

$0.4 x=60-26=34$.

$x=\frac{34}{0.4}=85$

Standard 13

Quantitative Aptitude

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