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In an examination, there were 640 boys and 360 girls. 60% of boys and 80% of girls were successful. The percentage of failure was 
  • a)
    20 
  • b)
    60 
  • c)
    30.5 
  • d)
    32.8 
Correct answer is option 'D'. Can you explain this answer?
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Understanding the Problem
To find the percentage of failure in the examination, we first need to determine the number of successful students among boys and girls, and then calculate the total number of failed students.
Total Students
- Total boys = 640
- Total girls = 360
Successful Students
- Successful boys = 60% of 640
- Successful girls = 80% of 360
Calculating Successful Students
- Successful boys = 0.60 * 640 = 384
- Successful girls = 0.80 * 360 = 288
Calculating Total Successful Students
- Total successful students = 384 (boys) + 288 (girls) = 672
Total Students
- Total students = 640 (boys) + 360 (girls) = 1000
Calculating Total Failures
- Total failures = Total students - Total successful students
- Total failures = 1000 - 672 = 328
Calculating Percentage of Failure
- Percentage of failure = (Total failures / Total students) * 100
- Percentage of failure = (328 / 1000) * 100 = 32.8%
Conclusion
The percentage of failure in the examination is 32.8%, which corresponds to option 'D'. This calculation not only gives insight into the performance but also highlights the success rates among boys and girls.
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In an examination, there were 640 boys and 360 girls. 60% of boys and 80% of girls were successful. The percentage of failure wasa)20b)60c)30.5d)32.8Correct answer is option 'D'. Can you explain this answer?
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