A man whose bowling average is 12.4, takes 5 wickets for 26 runs and, thereby, decreases his average

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A man whose bowling average is $12.4,$ takes $5$ wickets for $26$ runs and, thereby, decreases his average by $0.4$ The number of wickets, taken by him, before his last match is

A

$85$

B

$78$

C

$72$

D

$64$

Solution

Let, the number of wickets taken before the last match $=x$

Then, $\frac{12.4 x+26}{x+5}=x \Rightarrow x=85$

Standard 13

Quantitative Aptitude

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