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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
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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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