Correct Answer - Option 4 : 38
Given:
A batsman has a certain average of runs for 16 innings
In the 17th innings, he makes a score of 102 runs
His average increases = 4
Calculation:
Let the average of runs for 16 innings be A
Then, average of runs for 17 innings = A + 4
Total runs for 16 innings = 16 A
⇒ Total runs for 17 innings = 16A + 102
⇒ 16A + 102/17 = A + 4
⇒ 16A + 102 = 17A + 68
⇒ A = 34
His average after 17th innings = A + 4 = 34 + 4
⇒ 38
∴ His average after 17th innings is 38