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    An amount is divided between two friends in the ratio of 4 : 7. If the second part is Rs. 6 more than the first, then the difference in amount between
    Question

    An amount is divided between two friends in the ratio of 4 : 7. If the second part is Rs. 6 more than the first, then the difference in amount between two friends is:

    A.

    Rs. 2

    B.

    Rs. 6

    C.

    Rs. 4

    D.

    Rs. 3

    Correct option is B

    Given:
    The amount is divided in the ratio 4:7, and the second part is Rs. 6 more than the first.
    Formula Used:
    If an amount is divided in the ratio a:b, then the two parts are:
    First part = aa+b\frac{a}{a + b}​ × Total Amount
    Second part = ba+b\frac{b}{a + b}​ × Total Amount
    Solution:
     Let the first part be 4x and the second part be 7x.
    Given that the second part is Rs. 6 more than the first:
    7x - 4x = 6
    3x = 6
    x = 2
    Difference between the two amounts = 7x - 4x = 3x = 6
    Thus, the difference in amount between the two friends is Rs. 6.

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