Batsman in his `12^(th) ` inning makes a score of `63` runs and thereby increases his average score by `2`. His average after the `12th ` inning will be :

Explanation

Let the average score of `12` innings be `x.`
Then , the average score of `11` innings `= (x -2)`
Total score of `12` innings `= 12x.`
Total score of `11` innings `= 11 (x-2) = (11x -22)`
Score of the `12th` innings
= ( total score of `12` innings)- ( total score of `11` innings )
`= [12x -(11 x-22)] = (x+22)`
` x +22 = 63` ` Rightarrow` x =41
Hence, the average score after the `12th ` innings is `41. `