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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%
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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%
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%.
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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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