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The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:
  • a)
    30%
  • b)
    60%
  • c)
    75%
  • d)
    78%
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The ratio of the number of boys and girls in a school is 3:2. If 20% o...
Consider Total no of students = 100
Ratio is 3:2 i.e Boys=60 and Girls=40
20% of boys who get scholarship = 60*20/100=12%
25% of girls who get scholarship = 40*25/100 =10%
Therefore % of students who do not get scholarship =100-(12+10) = 78%
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The ratio of the number of boys and girls in a school is 3:2. If 20% o...
Understanding the Ratio of Boys and Girls
The ratio of boys to girls in the school is given as 3:2.
- Let the number of boys be 3x.
- Let the number of girls be 2x.
Calculating Total Students
- Total number of students = Boys + Girls = 3x + 2x = 5x.
Finding Scholarship Holders
- Boys with Scholarships: 20% of boys are scholarship holders.
- Number of scholarship boys = 20% of 3x = 0.2 * 3x = 0.6x.
- Girls with Scholarships: 25% of girls are scholarship holders.
- Number of scholarship girls = 25% of 2x = 0.25 * 2x = 0.5x.
Calculating Total Scholarship Holders
- Total scholarship holders = Scholarship boys + Scholarship girls = 0.6x + 0.5x = 1.1x.
Finding Non-Scholarship Holders
- Total non-scholarship holders = Total students - Total scholarship holders = 5x - 1.1x = 3.9x.
Calculating Percentage of Non-Scholarship Holders
- Percentage of students who are not scholarship holders = (Non-scholarship holders / Total students) * 100
- = (3.9x / 5x) * 100 = (3.9 / 5) * 100 = 78%.
Conclusion
Therefore, the percentage of students who are not scholarship holders is 78%, which corresponds to option 'D'.
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The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:a)30%b)60%c)75%d)78%Correct answer is option 'D'. Can you explain this answer?
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The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:a)30%b)60%c)75%d)78%Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:a)30%b)60%c)75%d)78%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:a)30%b)60%c)75%d)78%Correct answer is option 'D'. Can you explain this answer?.
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