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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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