Question

    Sunita distributed 'y' candies among Arjun, Anita, Aman, and Akash. The number of candies received by Arjun and Aman are in the ratio 3:5 respectively, and that by Anita and Akash are in the ratio 3:4 respectively. Find the value of 'y' if the number of candies received by Anita is 60% more than Arjun and the number of candies received by Aman is 14 less than Akash.

    A 135 Correct Answer Incorrect Answer
    B 150 Correct Answer Incorrect Answer
    C 165 Correct Answer Incorrect Answer
    D 192 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the number of candies received by Arjun and Aman be 3x and 5x respectively. Thus, the number of candies received by Anita = 3x × 1.60 = 4.8x Number of candies received by Akash = 4.8x × 4/3 = 6.4x According to the question: 6.4x – 5x = 14 1.4x = 14 x = 10 So, the value of 'y' = 10 × (3 + 5 + 4.8 + 6.4) = 10 × 19.2 = 192

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