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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?
  1. 20
  2. 22
  3. 24
  4. 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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