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      Question

      In a school, 850 students are taking a test. The ratio

      of boys to girls is 9:8, and the test fee for each girl is 30% less than that for a boy. If the total test fees paid by all students amounts to Rs. 8,76,000, what is the test fee for a girl?
      A 780 Correct Answer Incorrect Answer
      B 820 Correct Answer Incorrect Answer
      C 800 Correct Answer Incorrect Answer
      D 840 Correct Answer Incorrect Answer
      E 450 Correct Answer Incorrect Answer

      Solution

      9a+8a = 850 17a = 850 a = 50 number of Boys = 9a = 450 number of Girls = 8a = 400 let the test fee for Boys = 10x then, test fee for Girls = 7x according to question- 450 Γ— 10x + 400 Γ— 7x = 8,76000 4500x + 2800x = 8,76,000 7300x = 8,76,000 X = 120 test fee for Girls = 7x = 840

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