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**