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The boy ans girls in a college are in the ratio 3: 2. If 20% of the boys and 25% of the girls are adults , the percentage of the students who are not adults ?
- a)52
- b)58
- c)78
- d)40
- e)60
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The boy ans girls in a college are in the ratio 3: 2. If 20% of the bo...
Let's assume that there are 3x boys and 2x girls in the college, based on the given ratio.
Given that 20% of the boys are adults, the number of adult boys would be 20% of 3x, which is (20/100) * 3x = 0.6x.
Similarly, 25% of the girls are adults, so the number of adult girls would be 25% of 2x, which is (25/100) * 2x = 0.5x.
The total number of adult students would be the sum of adult boys and adult girls: 0.6x + 0.5x = 1.1x.
The total number of students in the college is 3x (boys) + 2x (girls) = 5x.
The percentage of students who are not adults can be calculated as:
(1 - (total number of adult students / total number of students)) * 100
(1 - (1.1x / 5x)) * 100
(1 - 0.22) * 100
0.78 * 100
78%
Therefore, the correct answer is C) 78, which represents the percentage of students who are not adults.
Most Upvoted Answer
The boy ans girls in a college are in the ratio 3: 2. If 20% of the bo...
Understanding the Ratios
The problem states that the ratio of boys to girls in a college is 3:2.
- Let the number of boys be 3x.
- Let the number of girls be 2x.
Calculating Total Students
The total number of students can be expressed as:
- Total students = Boys + Girls = 3x + 2x = 5x.
Finding Adults among Boys and Girls
- Boys:
- 20% of boys are adults.
- Adults among boys = 20% of 3x = 0.2 * 3x = 0.6x.
- Girls:
- 25% of girls are adults.
- Adults among girls = 25% of 2x = 0.25 * 2x = 0.5x.
Calculating Total Adults
Now, we can find the total number of adults:
- Total adults = Adults among boys + Adults among girls = 0.6x + 0.5x = 1.1x.
Finding Non-Adults
To find the number of students who are not adults:
- Total students = 5x.
- Total adults = 1.1x.
- Non-adults = Total students - Total adults = 5x - 1.1x = 3.9x.
Calculating the Percentage of Non-Adults
Now, we can find the percentage of students who are not adults:
- Percentage of non-adults = (Non-adults / Total students) * 100
- Percentage of non-adults = (3.9x / 5x) * 100 = 78%.
Thus, the percentage of students who are not adults is 78%, confirming that option 'C' is correct.
The problem states that the ratio of boys to girls in a college is 3:2.
- Let the number of boys be 3x.
- Let the number of girls be 2x.
Calculating Total Students
The total number of students can be expressed as:
- Total students = Boys + Girls = 3x + 2x = 5x.
Finding Adults among Boys and Girls
- Boys:
- 20% of boys are adults.
- Adults among boys = 20% of 3x = 0.2 * 3x = 0.6x.
- Girls:
- 25% of girls are adults.
- Adults among girls = 25% of 2x = 0.25 * 2x = 0.5x.
Calculating Total Adults
Now, we can find the total number of adults:
- Total adults = Adults among boys + Adults among girls = 0.6x + 0.5x = 1.1x.
Finding Non-Adults
To find the number of students who are not adults:
- Total students = 5x.
- Total adults = 1.1x.
- Non-adults = Total students - Total adults = 5x - 1.1x = 3.9x.
Calculating the Percentage of Non-Adults
Now, we can find the percentage of students who are not adults:
- Percentage of non-adults = (Non-adults / Total students) * 100
- Percentage of non-adults = (3.9x / 5x) * 100 = 78%.
Thus, the percentage of students who are not adults is 78%, confirming that option 'C' is correct.
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Community Answer
The boy ans girls in a college are in the ratio 3: 2. If 20% of the bo...
Let's assume that there are 3x boys and 2x girls in the college, based on the given ratio.
Given that 20% of the boys are adults, the number of adult boys would be 20% of 3x, which is (20/100) * 3x = 0.6x.
Similarly, 25% of the girls are adults, so the number of adult girls would be 25% of 2x, which is (25/100) * 2x = 0.5x.
The total number of adult students would be the sum of adult boys and adult girls: 0.6x + 0.5x = 1.1x.
The total number of students in the college is 3x (boys) + 2x (girls) = 5x.
The percentage of students who are not adults can be calculated as:
(1 - (total number of adult students / total number of students)) * 100
(1 - (1.1x / 5x)) * 100
(1 - 0.22) * 100
0.78 * 100
78%
Therefore, the correct answer is C) 78, which represents the percentage of students who are not adults.
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The boy ans girls in a college are in the ratio 3: 2. If 20% of the boys and 25% of the girls are adults , the percentage of the students who are not adults ?a)52b)58c)78d)40e)60Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The boy ans girls in a college are in the ratio 3: 2. If 20% of the boys and 25% of the girls are adults , the percentage of the students who are not adults ?a)52b)58c)78d)40e)60Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The boy ans girls in a college are in the ratio 3: 2. If 20% of the boys and 25% of the girls are adults , the percentage of the students who are not adults ?a)52b)58c)78d)40e)60Correct answer is option 'C'. Can you explain this answer?.
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