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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?

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? Correct Answer 36

Short Trick:

Average score of 12 inning = 96 - 13 × 5 = 96 – 65 = 31

Average score of 13 inning = 31 + 5 = 36

Detailed Method:

Let average score of 12 inning be x, then

Sum of the runs of 12 inning = 12x

According to the question

12x + 96 = (x + 5)13

12x + 96 = 13x + 65

13x – 12x = 96 – 65

x = 31

Average score of 12 inning = 31

∴ Average score of 13 inning  = 31 + 5 = 36

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