# A cricket batsman had a certain average of runs for his 11 innings. In the 12th innings, he made a score of 90 runs and thereby his average of runs wa

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A cricket batsman had a certain average of runs for his 11 innings. In the 12th innings, he made a score of 90 runs and thereby his average of runs was decreased by 5. His average of runs after 12th innings is -

1. 155
2. 150
3. 145
4. 140

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Correct Answer - Option 3 : 145

Given

A cricket batsman had a certain average of runs for his 11 innings. In the 12th innings, he made a score of 90 runs and thereby his average of runs was decreased by 5. His average of runs after 12th innings is

Concept used

Average

Calculation

Let the average be x runs for 11 innings

As per the question,

⇒ 11x + 90 = (x - 5) × 12

⇒ 11x + 90 = 12x - 60

⇒ x = 150

His average after 12th innings

⇒ 150 - 5 = 145

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