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      Question

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

      of females is 12:7. If 2 males joined the class and 8 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 28 Correct Answer Incorrect Answer
      B 17 Correct Answer Incorrect Answer
      C 32 Correct Answer Incorrect Answer
      D 44 Correct Answer Incorrect Answer

      Solution

      Let initially the number of males and females in an office be 12x and 7x respectively. According to the question, => (12x + 2) : (7x – 8) = 5:2 => 24x + 4 = 35x – 40 => x = 4 Therefore, number of females in an office = 7 x 4 = 28

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