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      Question

      In the comparison between Colleges P and Q, the student

      ratio is 6:5, and in the relation between Colleges R and P, the ratio is 13:10. Additionally, the ratio of boys to girls in Colleges P, Q, and R is 7:5, 2:3, and 7:6, respectively. Determine the percentage of girls among the total number of students in all the colleges combined.
      A 52% Correct Answer Incorrect Answer
      B 55% Correct Answer Incorrect Answer
      C 45% Correct Answer Incorrect Answer
      D 48% Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Number of students in P:Q:R= 30: 25: 39 Number of girls Students in P = 30x Γ— (5/12) = 12.5x Number of girls Students in Q = (3/5) Γ— 25x = 15x Number of female employees in C = 39x Γ— (6/13) = 18x Required percentage = (12.5x + 15x + 18x)/94x Γ— 100 = (45.5x/94x) Γ— 100 = 48%

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