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      Question

      A sum of Rs. 178 needs to be divided among 60 students

      in a class, where each boy receives Rs. 2.5 and each girl receives Rs. 3.5. Determine the ratio of boys to girls in the class.
      A 7:5 Correct Answer Incorrect Answer
      B 8:7 Correct Answer Incorrect Answer
      C 3:2 Correct Answer Incorrect Answer
      D 7:8 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let number of boys is x Number of girls in the class = 60 โ€“ x According to question; 2.5x + 3.5 ร— (60 โ€“ x) = 178 2.5x + 210 โ€“ 3.5x = 178 Or, x = 32 Desired Ratio = 32:(60 โ€“ 32) = 32:28 = 8:7 Hence, option b.

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