A batsman has a certain average of runs for 12 innings In the 13th inning he scores 96 runs th...........

Quantitative Aptitude (CGL) Average

A batsman has a certain average of runs for 12 innings. In the 13th inning he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?

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Explanation:

Let the average of 12 innings = x
If he made x runs in 13th innings his average remain same. But his average increases
13 -> x + 5
13 (x + 5) = 96 + 12x
13x + 65 - 12x = 96
x = 96 - 65 = 31
Average after 13th ining is x + 5 = 31 + 5 = 36 runs