Correct Answer - Option 2 : 47

**Given :**

A batsman in his \(11^{th}\) innings makes a score of 77 runs, thereby increasing his average scores by 3.

**Formula used :**

Average = Total value of all observations/Number of observations

**Calculations :**

Let the average score per match up to 10 matches be 'x'

Total score up to 10 matches = 10 × x = 10x

Total score up to 11 matches = 10x + 77

Now according to the question

(10x + 77)/11 = x + 3

⇒ 10x + 77 = 11x + 33

⇒ x = 44

Average score after 11th innings = x + 3

⇒ 44 + 3

⇒ 47

**∴ His average after 11th innings will be 47 runs **