A batsman makes a score of 97 runs in the 15th innings and thus increases his average by 5. Find his average after the 15th inning.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 27.
Average = Sum of observations/Number of observations
Let x be the batsman's average after 14 innings
The total runs scored by the batsman in 14 innings = 14x
According to the question -
⇒ 14x + 97 = 15(x + 5)
⇒ 14x + 97 = 15x + 75
⇒ x = 22
Average after 15th innings = x + 5 = 5 + 22 = 27