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