A batsman in his 11th inning scores 88 runs, thereby increasing his average score by 4. What is his average after the 11th innings?
Answer & explanation
Correct answer: option 3
Let average score before 11th inning be x
Total score till 10th inning = x × 10 = 10x
Total score after 11th inning = 10x + 88 .......(1)
Average increases by 4 after 11th inning then,
New average = x + 4
Total runs scored after 11th = (x + 4) x 11 .....(2)
Since eq(1) and eq(2) are equal
⇒ 10x + 88 = 11x + 44
⇒ x = 44
Average after 11th inning = x + 4 = 48