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A batsman in his 12th innings makes a score of 63 runs and thereby increases his average score by 2. His average score after 12th innings is​
  • a)
    51
  • b)
    45
  • c)
    41
  • d)
    60
Correct answer is option 'C'. Can you explain this answer?
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A batsman in his 12thinnings makes a score of 63 runs and thereby incr...
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A batsman in his 12thinnings makes a score of 63 runs and thereby incr...
Given information:
- A batsman made a score of 63 runs in his 12th innings.
- This increased his average score by 2.

To find:
- The batsman's average score after his 12th innings.

Solution:
Let the batsman's total runs scored in his first 11 innings be x.
His average score after 11 innings = x/11.
After the 12th innings, his total runs scored will be (x+63) and number of innings played will be 12.

According to the given information, the batsman's average score increased by 2 after his 12th innings. This means that his new average score is 2 more than his average score before the 12th innings.

New average score = (total runs scored in all innings) / (number of innings played)
New average score = (x+63) / 12

As per the given condition, the new average score is 2 more than the average score after 11 innings.
So, we get the equation:
(x+63)/12 = (x/11) + 2

Solving this equation for x, we get:
x = 429

Therefore, the batsman's total runs scored in all 12 innings = x+63 = 492
His average score after 12 innings = total runs scored / number of innings played = 492/12 = 41.

Hence, the correct answer is option (c) 41.
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A batsman in his 12thinnings makes a score of 63 runs and thereby increases his average score by 2. His average score after 12thinnings isa)51b)45c)41d)60Correct answer is option 'C'. Can you explain this answer?
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