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A batsman in his 11th innings makes a score of 77 runs, thereby increasing his average scores by 3. What is his average score
after the \(11^{th}\) inning?
1. 46
2. 47
3. 48
4. 49

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Best answer
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 

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