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    An amount is divided between two friends in the ratio 2 : 5. If the second part is Rs 6 more than the first, then the initial amount is:
    Question

    An amount is divided between two friends in the ratio 2 : 5. If the second part is Rs 6 more than the first, then the initial amount is:

    A.

    Rs 13

    B.

    Rs 12

    C.

    Rs 23

    D.

    Rs 14

    Correct option is D

    Given:

    Ratio 2:5, second part 6 more than the first.

    Solution: 

    Let amount be 2x and 5x

    The problem states that the second part is Rs 6 more than the first part:

    So, 

    5x − 2x = 6 

    3x = 6 

    x = 2 

    Substituting x = 2 

    So the initial amount 

    5x + 2x = 7x = 7 × 2 = 14 Rs.



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