A batsman, in his 12^{th} innings, makes a score of 63 runs and thereby increases his average score

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4.Average

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A batsman, in his $12^{th}$ innings, makes a score of $63$ runs and thereby increases his average score by $2.$ The average of his score after $12^{th}$ innings is

A

$41$

B

$42$

C

$34$

D

$35$

Solution

Let, the average of runs was $x$ till $11$ innings.

$\therefore \quad$ Total runs $=11 x$

$\Rightarrow$ Total run after $12^{ th}$ innings $=11 x+63$

Again, after $12^{ th}$ innings average $=(x+2)$

$\Rightarrow$ Total run $=12(x+2)$

Now, according to the question, $12(x+2)=11 x+63$

$\therefore \quad x=63-12 \times 2=39$

$\therefore \quad$ The average of his score after $12^ {th}$ innings $=39+2$ $=41$

Standard 13

Quantitative Aptitude

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