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A class has girls and boys in the ratio 4 : 5 Among the girls, the ratio of mathematics to physics students is 3 : 1. If the ratio of mathematics and physics students in the entire class is 3 : 2. What percentage of class comprises girls studying mathematics?
  • a)
    33.3%
  • b)
    30%
  • c)
    25%
  • d)
    18%
  • e)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A class has girls and boys in the ratio 4 : 5 Among the girls, the ra...
Understanding the Ratios
The class comprises girls and boys in the ratio of 4:5. This means for every 4 girls, there are 5 boys.
Total Ratio Representation
Let the number of girls be 4x and boys be 5x. Thus, the total number of students in the class is:
- Total students = 4x + 5x = 9x
Girls' Subjects Ratio
Among the girls, the ratio of mathematics to physics students is 3:1. Therefore, if there are 4x girls:
- Mathematics girls = (3/4) * (4x) = 3x
- Physics girls = (1/4) * (4x) = x
Overall Subjects Ratio
The ratio of mathematics to physics students in the entire class is 3:2. Let's denote the total number of mathematics and physics students:
- Total mathematics students = 3 parts
- Total physics students = 2 parts
Thus, the total parts = 3 + 2 = 5 parts.
Calculating Total Students in Each Subject
Now, if we let the total number of students in the class be 9x, we can find:
- Total mathematics students = (3/5) * (9x) = (27/5)x
- Total physics students = (2/5) * (9x) = (18/5)x
Finding Total Girls and Mathematics Students
From the previous calculations, we know:
- Total mathematics students = 27/5 x
- Girls studying mathematics = 3x
To find the percentage of girls studying mathematics in the class:
Percentage Calculation
Percentage of class comprising girls studying mathematics = (Girls studying mathematics / Total students) * 100
- = (3x / 9x) * 100 = (1/3) * 100 = 33.3%
Thus, the percentage of the class that comprises girls studying mathematics is 33.3%.
Therefore, the correct answer is option 'A'.
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Community Answer
A class has girls and boys in the ratio 4 : 5 Among the girls, the ra...
Let girls and boys in the class 4x and 5x respectively.
?Total Students =4x+5x=9x
Girls students of mathematics =34×4x=3x
Girls students of Physics =14×4x=x%of girls studying in mathematics =3x/9x *100=33.3%
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