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A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?
  • a)
    66
  • b)
    61
  • c)
    62
  • d)
    64
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A batsman makes a score of 111 runs in the 10th match and thus increas...
Let average runs be x.
Total runs in 9 matches = 9x
Average runs after 10th match = (9x + 111)/10 = x + 5 (given)
⇒ 9x + 111 = 10x + 50
⇒ x = 61
∴ Average after 10th match = 61 + 5 = 66
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Most Upvoted Answer
A batsman makes a score of 111 runs in the 10th match and thus increas...


Given Information:
The batsman made a score of 111 runs in the 10th match and increased his average runs per match by 5.

Calculating the original average:
Let the original average be x.
So, the total runs scored in 9 matches before the 10th match = 9x.

Calculating the new average:
After the 10th match, the total runs scored in 10 matches = 9x + 111.
The new average after the 10th match = (9x + 111) / 10.

Given condition:
The new average is 5 more than the original average, so we have:
(9x + 111) / 10 = x + 5

Solving the equation:
9x + 111 = 10x + 50
111 - 50 = 10x - 9x
61 = x

Calculating the new average:
Substitute x = 61 in the new average formula:
(9 * 61 + 111) / 10
(549 + 111) / 10
660 / 10
66

Therefore, the average after the 10th match is 66 runs. Hence, the correct answer is option 'A) 66'.
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A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?a)66b)61c)62d)64Correct answer is option 'A'. Can you explain this answer?
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