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    A sum of money is divided among A, B, and C in the ratio 4 : 3 : 6. If the share of C is Rs. 600 more than B, then how much amount will A get more tha
    Question

    A sum of money is divided among A, B, and C in the ratio 4 : 3 : 6. If the share of C is Rs. 600 more than B, then how much amount will A get more than B?

    A.

    Rs. 200

    B.

    Rs. 150

    C.

    Rs. 250

    D.

    Rs. 100

    Correct option is A

    Given:

    The ratio of A, B, and C is 4:3:6.

    The share of C is Rs. 600 more than the share of B.

    Solution:

    Let the shares of A, B, and C be 4x, 3x, and 6x respectively.

    According to the problem, the share of C is Rs. 600 more than the share of B.

    Thus, 

    6x = 3x + 600

    6x - 3x = 600

    x = 600 / 3 = 200

    Share of A = 4x = 4 ×\times​200 = Rs. 800

    Share of B = 3x = 3×\times​ 200 = Rs. 600

    Share of C = 6x = 6 ×\times​ 200 = Rs. 1200

    A gets Rs. 800 - Rs. 600 = Rs. 200 more than B.

    Thus, A will get Rs. 200 more than B.

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