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In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.
Q. Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?
  • a)
    15%
  • b)
    18%
  • c)
    21%
  • d)
    22%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions: Study the following information carefully and answer the q...
Total number of students in academy K = 156
Ratio of the number of students taking classes of traditional and western dance forms in academy K = 7 : 6
7x + 6x = 13x = 156
x = 12
Number of students taking classes of traditional dance forms in academy K = 7x = 7 × 12 = 84
Number of students taking classes of western dance forms in academy K = 6x = 6 × 12 = 72
Number of students taking classes of western dance forms in academy L = 50% of the number of students taking classes of traditional dance forms in academy K.
Number of students taking classes of western dance forms in academy L = 50% of 84 = 42
Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.
If 3x = 42, then x = 14
So, number of students taking classes of traditional dance forms in academy L = 5x = 14 × 5 = 70
Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms + Number of students taking classes of traditional dance forms in academy L
Number of students taking classes of traditional dance forms in academy L = 70
Number of students taking classes of traditional dance forms in academy M = 70 + 6 = 76
Number of students taking classes of western dance forms in academy M = 439 - (156 + 70 + 42 + 76) = 95
Total number of students taking western classes in academies K and L together = 72 + 42 = 114
Total number of students taking traditional dance classes in academies L and M together = 70 + 76 = 146
Difference = 146 – 114 = 32
% less = 32/146 × 100 = 22%
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Calculation of Total Students in Western and Traditional Dance Forms
- Number of students in Academy K = 156
- Ratio of students in traditional: western dance forms in Academy K = 7:6
- Let the number of students in traditional dance forms = 7x
- Let the number of students in western dance forms = 6x

Calculation of Students in Academy L
- Number of students in western dance forms in Academy L = 3y
- Number of students in traditional dance forms in Academy L = 5y

Calculation of Students in Academy M
- Number of students in western dance forms in Academy M = y
- Number of students in traditional dance forms in Academy M = y/7

Calculation of Total Students in Western and Traditional Dance Forms in Academies L and M
Total number of students in western dance forms in academies L and M = 3y + y
Total number of students in traditional dance forms in academies L and M = 5y + y/7

Calculation of Percentage Difference
Total number of students in western dance forms in academies K and L = 6x + 3y
Total number of students in traditional dance forms in academies L and M = 5y + y/7
Now, calculate the total number of students in western and traditional dance forms in academies K and L together. After finding the total number of students in traditional and western dance forms in academies L and M together, find the percentage difference between the two totals. The correct answer is option 'D' - 22%.
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Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer?
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Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the following information carefully and answer the question that follows.In dance academies K, L and M, a total of 439 students take classes of western and traditional dance forms. Number of students taking classes of western dance forms in academy L is 50% of the number of students taking classes of traditional dance forms in academy K. Only 156 students take classes in academy K. Ratio of the number of students taking classes of traditional and western dance forms in academy K is 7 : 6. Number of students taking classes of traditional dance forms in academy M is one-seventh of the number of students taking classes of western dance forms plus the number of students taking classes of traditional dance forms in academy L. Ratio of the number of students taking classes of western and traditional dance forms in academy L is 3 : 5.Q.Total number of students taking classes of western dance forms in academies K and L together is what % less (approximately) than the total number of students taking classes of traditional dance forms in academies L and M together?a)15%b)18%c)21%d)22%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CLAT tests.
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