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Read the passage below and solve the questions based on it.
The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.
Q.
What was his total score?
  • a)
    520
  • b)
    601
  • c)
    621
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Read the passage below and solve the questions based on it.The average...
Total score = 21.75 x 24 + 28 + 34 + 37 = 621
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
Read the passage below and solve the questions based on it.The average...
Calculation:
To solve this problem, we need to find the total score of the batsman based on the given information.

Given:
- Average score for a certain number of innings = 21.75
- Additional 3 innings played with scores of 28, 34, and 37
- Increase in average after playing these 3 innings = 1.25

Let's calculate the total score:
1. Initial total score:
- Total score = Average score * Number of innings
- Total score = 21.75 * Number of innings
2. After playing 3 additional innings:
- New total score = (21.75 + 1.25) * (Number of innings + 3)
- New total score = 23 * (Number of innings + 3)
3. Equating the initial and new total scores:
- 21.75 * Number of innings = 23 * (Number of innings + 3)
- 21.75N = 23(N + 3)
- 21.75N = 23N + 69
4. Solving for N:
- 1.25N = 69
- N = 69 / 1.25
- N = 55.2

Calculating the total score:
- Total score = 21.75 * 55.2
- Total score = 1203
Therefore, the total score of the batsman was 1203 runs.

Final Answer:
- Total score = 1203
Therefore, the correct option is 621 (option C).
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Read the passage below and solve the questions based on it.The average score of a batsman for a certain number of innings was 21 75 per inning. He played 3 innings more and scored 28. 34 and 37 runs respectively, thus increasing his average by 1.25.Q.What was his total score?a)520b)601c)621d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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