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      Question

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

      of females is 13:9. If 3 males joined the class and 7 females left the class, then the ratio of number of males to that of females in an office would become 3:2. Find the actual number of females in the class.
      A 218 Correct Answer Incorrect Answer
      B 200 Correct Answer Incorrect Answer
      C 243 Correct Answer Incorrect Answer
      D 220 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 11x and 8x respectively. According to the question, => (13x + 3) : (9x – 7) = 3:2 => 26x + 6 = 27x – 21 => x = 27 Therefore, number of females in an office = 9 x 27 = 243

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