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      Question

      Out of 6000 students in a university in 2019, 70% were

      girls and the rest were boys. In 2020, the number of girls increased by 20% and the number of boys decreased by 40%. Find the percentage change in the total number of students in 2020 compared to 2019.
      A 5% Correct Answer Incorrect Answer
      B 12% Correct Answer Incorrect Answer
      C 2% Correct Answer Incorrect Answer
      D 18% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,
      Number of girls in 2019 = 6000 Γ— 0.70 = 4200

      Number of boys in 2019 = 6000 - 4200 = 1800

      Number of girls in 2020 = 4200 Γ— 1.20 = 5040

      Number of boys in 2020 = 1800 Γ— 0.60 = 1080

      Total number of students in 2020 = 5040 + 1080 = 6120

      So, percentage change in total number of students = {(6120 - 6000)/6000} Γ— 100 = 2%

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