A batsman has a batting average of X in 6 innings. In the 7th innings, he scores 48 runs, thereby increasing his average by 5 runs. What is the averag

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A batsman has a batting average of X in 6 innings. In the 7th innings, he scores 48 runs, thereby increasing his average by 5 runs. What is the average after the 7th innings?
1. 11
2. 13
3. 54
4. 18

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Correct Answer - Option 4 : 18

Given :

A batsman has an average of 'x' in 6 innings

After scoring 48 runs in 7th innings, increases average by 5 runs

Formula used :

$Average = \frac {Total \ runs \ scored}{Total \ innings \ played}$

Calculation :

Average of x in 6 innings

⇒ Total runs in 6 innings = 6x

After scoring 48 runs, the average increased by 5 runs

⇒ $\frac{6x+48}{7} = x+5$

⇒ 7x + 35 = 6x + 48

⇒ x = 13

⇒ Average after 7th innings = x + 5

∴ The average run after 7th innings is 18