###
**A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreased his average by 0.4. The number of wickets taken by him the last match was-
**

A. 64
B. 72
C. 80
D. 85
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

Let the number of wickets taken till the last match be x
$\begin{aligned}\Rightarrow&\frac{12.4x+20}{x+5}=12\\
\Rightarrow&12.4x+26=12x+60\\
\Rightarrow&0.4x=34\\
\Rightarrow &x=\frac{34}{0.4}\\
\Rightarrow &x=\frac{340}{4}\\
\Rightarrow &x=85\end{aligned}$

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