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    If  x/y = 4/5 then , the value of 4/7 +  2y−x2y+x\tfrac{2y-x}{2y+x}2y+x2y−x​  is ?​
    Question

    If  x/y = 4/5 then , the value of 4/7 +  2yx2y+x\tfrac{2y-x}{2y+x}  is ?

    A.

    2

    B.

    8

    C.

    1

    D.

    12

    Correct option is C

     Given,

    4/7 + (2y - x)/(2y + x)

    = 4/7 + [(2 - (x/y)] / [2 + (x/y)]

    = 4/7 + [2 - 4/5] / [2 + 4/5]

    = 4/7 + ( 6/5 x 5/14 )

    = 4/7 + 3/7 =1

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