Question

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

• A. $84$
• B. $82$
• C. $83$
• D. $85$

Answer 1

Answer: (D)

Let he has taken $x$ wickets before the match
And runs given with the average $12.4$, so total sum given was,
$=12.4x$
Runs given including this match
$=12.4x+26$ with the average of $12$
Now, $\frac{(12.4x+26)}{(x+5)}=12$

$\Rightarrow 12.4x+26=12x+60$
$\Rightarrow 0.4x=34$
$\Rightarrow x=85$ wickets