Correct Answer - Option 3 : 102
Given:
The average runs scored in 15 innings is 38 runs.
His new average after the 16th innings is 42.
Formula used:
Average = Sum of observations/Number of observations
Calculation:
Let the runs scored by him in the 16th innings be X.
Average runs scored till the 15th innings is 38 runs.
⇒ Total runs = (15 × 38) runs
⇒ Total runs = 570 runs
Now, according to the question
⇒ (570 + X)/16 = 42
⇒ 570 + X = 42 × 16
⇒ 570 + X = 672
⇒ X = 672 – 570
⇒ X = 102 run
∴ Runs scored by the cricketer in his next inning is 102 runs.