A batsman has a certain average of runs for 16 innings, in the inning, he makes a score of 85 runs thereby increasing his average by 3 . The average of 17 innings is ____.

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Detailed Solution

Concept- A batsman has a certain average of runs for 16 innings, in the

inning, he makes a score of 85 runs thereby increasing his average by 3 .By setting the batsman's average to A, we can determine how many runs he scored over the course of 16 innings. In a manner similar to this, we will determine the average of 17 innings in terms of A and run totals, and then we will calculate the values of A using the notion of average value. Finally, after changing the value of A, we get the average batting average for 17 innings.
Let the average number of runs per 16 innings be.
Then, average of runs for 17 innings

Total runs for 16 innings

Total runs for 17 innings

Given,

Average of 17 innings

Hence, the correct answer is 37.
Syllabus: CBSE

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