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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?
Verified Answer
The ratio of the number of boys and girls in a school is 3:2. If 20% o...
D. 78%
Explanation: 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%
Explanation: 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%
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
The ratio of the number of boys and girls in a school is 3:2. If 20% o...
3:4=300:400
(300*80/100):(200*75/100)
240:150
((240+150)/(300+500))*100=78%
(300*80/100):(200*75/100)
240:150
((240+150)/(300+500))*100=78%
Community Answer
The ratio of the number of boys and girls in a school is 3:2. If 20% o...
Given:
- The ratio of boys to girls in a school is 3:2.
To find:
- The percentage of students who are not scholarship holders.
Solution:
Let's assume the total number of students in the school is 100.
- The number of boys = (3/5) * 100 = 60.
- The number of girls = (2/5) * 100 = 40.
Finding the number of scholarship holders:
- 20% of the boys are scholarship holders, so the number of scholarship holder boys = (20/100) * 60 = 12.
- 25% of the girls are scholarship holders, so the number of scholarship holder girls = (25/100) * 40 = 10.
Finding the number of non-scholarship holders:
- The number of non-scholarship holder boys = 60 - 12 = 48.
- The number of non-scholarship holder girls = 40 - 10 = 30.
Finding the percentage of students who are not scholarship holders:
- The total number of non-scholarship holders = 48 + 30 = 78.
- The percentage of students who are not scholarship holders = (78/100) * 100 = 78%.
Therefore, the correct answer is option 'D' - 78%.
- The ratio of boys to girls in a school is 3:2.
To find:
- The percentage of students who are not scholarship holders.
Solution:
Let's assume the total number of students in the school is 100.
- The number of boys = (3/5) * 100 = 60.
- The number of girls = (2/5) * 100 = 40.
Finding the number of scholarship holders:
- 20% of the boys are scholarship holders, so the number of scholarship holder boys = (20/100) * 60 = 12.
- 25% of the girls are scholarship holders, so the number of scholarship holder girls = (25/100) * 40 = 10.
Finding the number of non-scholarship holders:
- The number of non-scholarship holder boys = 60 - 12 = 48.
- The number of non-scholarship holder girls = 40 - 10 = 30.
Finding the percentage of students who are not scholarship holders:
- The total number of non-scholarship holders = 48 + 30 = 78.
- The percentage of students who are not scholarship holders = (78/100) * 100 = 78%.
Therefore, the correct answer is option 'D' - 78%.
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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 isa)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 isa)30%b)60%c)75%d)78%Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant 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 isa)30%b)60%c)75%d)78%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 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 isa)30%b)60%c)75%d)78%Correct answer is option 'D'. Can you explain this answer?.
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