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The average of a batsman before a tournament was 38. In the 7 matches of the tournament, he scored 548 runs. Find the total number of matches played by him till date, if his new average after the tournament is 41.76.
1. 68
2. 71
3. 75
4. 78
5. 70

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Correct Answer - Option 3 : 75

Given:

Average before tournament = 38

Runs scored in 7 matches = 548

Average after tournament = 41.76

Formula used:

Average = sum of observations/total number of observations

Calculation:

Let matches played before the tournament be x

So, Total runs scored = 38x

New average = (38x + 548)/(x + 7)

A.T.Q

(38x + 548)/(x + 7) = 41.76

⇒ 38x + 548 = 41.76x + 292.32

⇒ 3.76x = 255.68

⇒ x = 68

Total matches = 68 + 7 = 75

∴ The answer is 75

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