A cricketer gives 12.4 runs per wicket. He gives 26 runs and takes 5 wicket in a match after which h

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4.Average

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A cricketer gives $12.4$ runs per wicket. He gives $26$ runs and takes $5$ wicket in a match after which his average becomes $12$ per wicket. How many wickets had been taken till the last match?

A

$85$

B

$90$

C

$65$

D

$72$

Solution

Let the no of wicket taken by the cricketer $=x$

According to the question

$\frac{12.4 \times x+26}{x+5}=12 \Rightarrow 12.4 x+26=12 x+60$

$x=\frac{34}{4}=\frac{340}{4}=85$

Standard 13

Quantitative Aptitude

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