Question
The average runs scored by a player in a certain number of
matches was 32.5. His average gets increased by 1.5 when he scores 100 in his next match. Find the total runs scored by him before he scores 100.Solution
Let the number of matches played by player before he scores 100 be 'P'.
Runs scored by player before he scores 100 = 32.5P
So, (32.5P + 100) ÷ (P + 1) = 32.5 + 1.5
=> 32.5P + 100 = 34P + 34
=> 1.5P = 66
=> P = 44
Therefore, total runs scored before he scored 100 = 32.5 × 44 = 1430
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