A batsman scored an average of 12 runs in 7 innings. He played one more innings and the average then became 14. How many runs did he score in the last innings?
Explanation:
No. of runs scored in 7 innings is 7 × 12 = 84
If he scored x runs in the next innings, then, new average will be, (84 + x)/8 = 14 (given)
or, 84 + x = 112
⇒ x = 28 runs.
Alternately,
Average after 7 innings is 12. If the batsman scores 12 runs in 8th innings, his final average will not change.
But, since his final average score increases by 2 runs after 8th innings, this means that he scores 8 × 2 = 16 runs more than earlier average in the 8th innings.
⇒ Score in 8th innings = earlier average + extra runs scored = 12 + 16 = 28 runs.
Hence, option (a).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.