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The Ratio of the No. of boys to that of girls in a school is 5 : 3. If 70% of boys and 80% of the girls are scholarship holders then the percentage of students who do not get scholarship is 
  • a)
    35.5% 
  • b)
    30% 
  • c)
    26 (1/4)% 
  • d)
    27%
Correct answer is option 'C'. Can you explain this answer?
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The Ratio of the No. of boys to that of girls in a school is 5 : 3. If...
Understanding the Ratio of Boys to Girls
The ratio of boys to girls in the school is given as 5:3. This means for every 5 boys, there are 3 girls.
Calculating Total Students
Let's assume the number of boys is 5x and the number of girls is 3x, where x is a common multiplier.
- Total number of students = 5x + 3x = 8x
Finding Scholarship Holders
Now, let’s calculate how many boys and girls are scholarship holders.
- Scholarship holders among boys = 70% of boys = 0.7 * 5x = 3.5x
- Scholarship holders among girls = 80% of girls = 0.8 * 3x = 2.4x
Calculating Total Scholarship Holders
- Total scholarship holders = 3.5x + 2.4x = 5.9x
Determining Non-Scholarship Holders
To find out how many students do not receive scholarships:
- Total non-scholarship holders = Total students - Total scholarship holders
- Non-scholarship holders = 8x - 5.9x = 2.1x
Calculating the Percentage of Non-Scholarship Holders
Now, we need to find the percentage of students who do not get scholarships:
- Percentage of non-scholarship holders = (Non-scholarship holders / Total students) * 100
- Percentage = (2.1x / 8x) * 100 = (2.1/8) * 100 = 26.25%
Conclusion
Thus, the percentage of students who do not receive scholarships is 26.25%, which rounds to 26 (1/4)%. Hence, the correct answer is option 'C'.
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The Ratio of the No. of boys to that of girls in a school is 5 : 3. If 70% of boys and 80% of the girls are scholarship holders then the percentage of students who do not get scholarship isa)35.5%b)30%c)26 (1/4)%d)27%Correct answer is option 'C'. Can you explain this answer?
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The Ratio of the No. of boys to that of girls in a school is 5 : 3. If 70% of boys and 80% of the girls are scholarship holders then the percentage of students who do not get scholarship isa)35.5%b)30%c)26 (1/4)%d)27%Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The Ratio of the No. of boys to that of girls in a school is 5 : 3. If 70% of boys and 80% of the girls are scholarship holders then the percentage of students who do not get scholarship isa)35.5%b)30%c)26 (1/4)%d)27%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Ratio of the No. of boys to that of girls in a school is 5 : 3. If 70% of boys and 80% of the girls are scholarship holders then the percentage of students who do not get scholarship isa)35.5%b)30%c)26 (1/4)%d)27%Correct answer is option 'C'. Can you explain this answer?.
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