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      Question

      In a school, Class 10 is divided into two sections.

      Section A has 100/3%  of the total students, while the rest are in Section B. If 15 students from Section B are moved to Section A, the total number of students in Section A becomes 50% of the entire class. What percentage of the total students would be in Section A if, instead, 15 students were initially transferred from Section A to Section B?
      A 25% Correct Answer Incorrect Answer
      B 19% Correct Answer Incorrect Answer
      C 55/3% Correct Answer Incorrect Answer
      D 50/3% Correct Answer Incorrect Answer
      E none Correct Answer Incorrect Answer

      Solution

      Let the number of total students in class 10 = 3x Students in section A = x Students in section B = 2x According to question- 2x-15 = 3x/2 0.5x = 15 X = 30 Initially number of students in section A = x = 30 Initially number of students in section B = 2x = 60 After shifting of 15 students, remaining students in section A = 30-15 = 15 Required percentage = 15/90 × 100 = 50/3 %

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