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      Question

      In an office, the ratio of the number of males to number

      of females is 7:3. If 2 males joined the class and 5 females left the class, then the ratio of number of males to that of females in an office would become 5:2. Find the actual number of females in the class.
      A 126 Correct Answer Incorrect Answer
      B 87 Correct Answer Incorrect Answer
      C 72 Correct Answer Incorrect Answer
      D 104 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let initially the number of males and females in an office be 7x and 3x respectively. According to the question, => (7x + 2) : (3x – 5) = 5:2 => 14x + 4 = 15x – 25 => x = 29 Therefore, number of females in an office = 3 x 29 = 87

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