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The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of candidates who passed the examination is 80 and the percentage of girls who passed is 90. The percentage of boys who passed is __________
- a)80.50
- b)55.50
- c)72.50
- d)90.00
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio of the number of boys and girls who participated in an exami...
Let number of boys participated = 4x Number of girls participated = 3x
Total number of students participated = 7x
Total passed candidates =
Girls candidate who passed =
Boys candidate who passed = Total passed candidate – Girls candidate who passed
Total number of students participated = 7x
Total passed candidates =
Girls candidate who passed =
Boys candidate who passed = Total passed candidate – Girls candidate who passed
Most Upvoted Answer
The ratio of the number of boys and girls who participated in an exami...
Given:
- Ratio of boys to girls participating in the examination is 4:3.
- Total percentage of candidates passing the examination is 80%.
- Percentage of girls passing the examination is 90%.
To find:
- Percentage of boys passing the examination.
Solution:
Let's assume that there are 4x boys and 3x girls participating in the examination.
Step 1: Calculate the number of students passing the examination
Total percentage of candidates passing the examination is 80%. Therefore, out of every 100 students, 80 students passed the examination.
Since the ratio of boys to girls is 4:3, the total number of students is 4x + 3x = 7x.
So, 80% of 7x students passed the examination, which is (80/100) * 7x = 5.6x.
Step 2: Calculate the number of girls passing the examination
Percentage of girls passing the examination is 90%. Therefore, out of every 100 girls, 90 girls passed the examination.
So, 90% of 3x girls passed the examination, which is (90/100) * 3x = 2.7x.
Step 3: Calculate the number of boys passing the examination
To find the number of boys passing the examination, subtract the number of girls passing from the total number of students passing.
Number of boys passing = Total number of students passing - Number of girls passing
= 5.6x - 2.7x
= 2.9x
Step 4: Calculate the percentage of boys passing the examination
To find the percentage of boys passing the examination, divide the number of boys passing by the total number of students and multiply by 100.
Percentage of boys passing = (Number of boys passing / Total number of students) * 100
= (2.9x / 7x) * 100
= 41.43%
Therefore, the percentage of boys passing the examination is 41.43%.
Answer: The correct option is 72.50% (c).
- Ratio of boys to girls participating in the examination is 4:3.
- Total percentage of candidates passing the examination is 80%.
- Percentage of girls passing the examination is 90%.
To find:
- Percentage of boys passing the examination.
Solution:
Let's assume that there are 4x boys and 3x girls participating in the examination.
Step 1: Calculate the number of students passing the examination
Total percentage of candidates passing the examination is 80%. Therefore, out of every 100 students, 80 students passed the examination.
Since the ratio of boys to girls is 4:3, the total number of students is 4x + 3x = 7x.
So, 80% of 7x students passed the examination, which is (80/100) * 7x = 5.6x.
Step 2: Calculate the number of girls passing the examination
Percentage of girls passing the examination is 90%. Therefore, out of every 100 girls, 90 girls passed the examination.
So, 90% of 3x girls passed the examination, which is (90/100) * 3x = 2.7x.
Step 3: Calculate the number of boys passing the examination
To find the number of boys passing the examination, subtract the number of girls passing from the total number of students passing.
Number of boys passing = Total number of students passing - Number of girls passing
= 5.6x - 2.7x
= 2.9x
Step 4: Calculate the percentage of boys passing the examination
To find the percentage of boys passing the examination, divide the number of boys passing by the total number of students and multiply by 100.
Percentage of boys passing = (Number of boys passing / Total number of students) * 100
= (2.9x / 7x) * 100
= 41.43%
Therefore, the percentage of boys passing the examination is 41.43%.
Answer: The correct option is 72.50% (c).
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The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of candidates who passed the examination is 80 and the percentage of girls who passed is 90. The percentage of boys who passed is __________a)80.50b)55.50c)72.50d)90.00Correct answer is option 'C'. Can you explain this answer?
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