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A cricketer had an average number of runs as 32 after playing 10-innings. If he wants to make his average run rate increased by 4, then how much runs will he have to take in his next inning?
- a)66
- b)84
- c)62
- d)76
- e)72
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A cricketer had an average number of runs as 32 after playing 10-innin...
D) 76
Explanation: Average after 10 innings = 32, so after 11 inning = 32+4 = 36 So required runs = (36*11) – (32*10)
Explanation: Average after 10 innings = 32, so after 11 inning = 32+4 = 36 So required runs = (36*11) – (32*10)
Most Upvoted Answer
A cricketer had an average number of runs as 32 after playing 10-innin...
Understanding Current Average
After playing 10 innings, the cricketer has an average of 32 runs.
- Total Runs Scored:
- Average = Total Runs / Number of Innings
- Total Runs = Average × Innings = 32 × 10 = 320 runs
Target Average Calculation
The cricketer wants to increase his average by 4 runs, making his new target average:
- New Average:
- Current Average + Increase = 32 + 4 = 36 runs
Calculating Total Innings and Runs for New Average
To find out how many runs he needs in the next inning to achieve this new average:
- Total Innings After Next Game:
- Current Innings + 1 = 10 + 1 = 11 innings
- Total Runs Needed for New Average:
- New Average × Total Innings = 36 × 11 = 396 runs
Determining Runs Needed in Next Inning
Now, to find out how many runs he needs to score in the next inning:
- Runs Required in Next Inning:
- Total Runs Needed - Current Total Runs = 396 - 320 = 76 runs
Conclusion
Thus, the cricketer needs to score 76 runs in his next inning to increase his average to 36.
- Correct Answer: Option 'D' - 76
After playing 10 innings, the cricketer has an average of 32 runs.
- Total Runs Scored:
- Average = Total Runs / Number of Innings
- Total Runs = Average × Innings = 32 × 10 = 320 runs
Target Average Calculation
The cricketer wants to increase his average by 4 runs, making his new target average:
- New Average:
- Current Average + Increase = 32 + 4 = 36 runs
Calculating Total Innings and Runs for New Average
To find out how many runs he needs in the next inning to achieve this new average:
- Total Innings After Next Game:
- Current Innings + 1 = 10 + 1 = 11 innings
- Total Runs Needed for New Average:
- New Average × Total Innings = 36 × 11 = 396 runs
Determining Runs Needed in Next Inning
Now, to find out how many runs he needs to score in the next inning:
- Runs Required in Next Inning:
- Total Runs Needed - Current Total Runs = 396 - 320 = 76 runs
Conclusion
Thus, the cricketer needs to score 76 runs in his next inning to increase his average to 36.
- Correct Answer: Option 'D' - 76
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