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      Question

      The ratio of the number of candies with Charu and Disha is

      7:5. Disha's father gave her 4 more candies after while Charu stole 33(1/3)% candies possessed by Disha such that the ratio of candies with Charu And Disha becomes 9:4. What is the number of candies with Disha in the beginning?
      A 5 Correct Answer Incorrect Answer
      B 10 Correct Answer Incorrect Answer
      C 15 Correct Answer Incorrect Answer
      D 20 Correct Answer Incorrect Answer
      E 25 Correct Answer Incorrect Answer

      Solution

      Let the number of candies with Charu and Disha in the beginning be 7k and 5k respectively.
      Candies with Disha after gave 4 candies to her = 5k + 4
      After Charu stole from Disha:
      Candies with Charu = 7k + (1/3)*(5k + 4) = (26k + 4)/3
      Candies with Disha = (2/3)*(5k + 4)
      So, (26k + 4)/3 : (10k + 8)/3 = 9:4
      => (26k + 4)/(5k + 4) = 9/2
      => 45k + 36 = 52k + 8
      => 7k = 28
      => k = 4
      Number of Candies with Disha in the beginning = 5*4 = 20

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