A batsman in his 11th inning makes a score of 77 runs, thereby increasing his average scores by 3. What is his average score after the 11th inning?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 47
Let the average after 10 innings be x.
Then total runs in 10 innings = 10 × x
After the 11th inning, total runs = 10x + 77
New average = x + 3
According to question,
(10x + 77) ÷ 11 = x + 3
⇒ 10x + 77 = 11x + 33
⇒ 77 − 33 = 11x − 10x
⇒ 44 = x
So, new average = x + 3 = 44 + 3 = 47