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A cricketer has an average of 62 runs over 5 innings. If he scores 296 runs in the 6th inning, by how many runs does his average score increase?
Question

A cricketer has an average of 62 runs over 5 innings. If he scores 296 runs in the 6th inning, by how many runs does his average score increase?

A.

36

B.

39

C.

30

D.

37

Correct option is B

Given
Old average = 62
Initial innings = 5
Score in 6th inning = 296
Formula Used
Sum of runs = Average × \times​ Number of Innings
New Average = Old Sum+New ScoreTotal Innings\frac{\text{Old Sum} + \text{New Score}}{\text{Total Innings}}​​
Solution
Runs scored in first 5 innings = 62×5=31062 \times 5 = 310​​
Total runs after 6 innings = 310 + 296 = 606
New Average = 6066=101 \frac{606}{6} = 101​​
Increase in average = 101 - 62 = 39
Final Answer
So the correct answer is (b)

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