# A batsman scores 85 runs in his 12th innings, which increases his batting average by 4. What will be his batting average after the 12th innings?

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A batsman scores 85 runs in his 12th innings, which increases his batting average by 4. What will be his batting average after the 12th innings?
1. 34
2. 37
3. 41
4. 45

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Correct Answer - Option 3 : 41

Given:

Runs scored by batsman in 12th innings = 85 runs

Batting average increases by 4

Formula used:

Total runs scored = Average × Number of innings

Calculation:

Let average runs after 11th innings be n

Batting average after 12th innings = (n + 4)

Total run in 11 innings = 11n

According to the question

⇒ (11n + 85) = 12(n + 4)

⇒ 11n + 85 = 12n + 48

⇒ n = 37

Average after 12th innings = (n + 4)

⇒ 37 + 4 = 41

∴ The batting average after 12th innings is 41