A batsman scores 100 runs in his 10th inning, which increases his average score for the previous 9 innings by 8 runs. What was his average score after the 9th inning?
- 20
- 22
- 24
- None of these
Explanation
Let average of 9 innings = x
Total runs in 9 innings = 9x
He scores 100 runs in 10th inning
New average = x + 8
Total runs in 10 innings = 10 _ (x + 8)
Now,
Total runs in 10 innings = Total runs in 9 innings + 100
So,
10 _ (x + 8) = 9x + 100
10x + 80 = 9x + 100
10x - 9x = 100 - 80
x = 20
Average after 9th inning = 20
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