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    If 2.5x = 0.05y, then y−xy+x\frac{y-x}{y+x}y+xy−x​​ = ?
    Question

    If 2.5x = 0.05y, then yxy+x\frac{y-x}{y+x}​ = ?

    A.

    1951\frac{19}{51}​​

    B.

    4950\frac{49}{50}​​

    C.

    1950\frac{19}{50}​​

    D.

    4951\frac{49}{51}​​

    Correct option is D

    Given:

    2.5x = 0.05y

    We need to determine the value of:

    yxy+x\frac{y - x}{y + x}

    Solution:

    2.5x = 0.05y

    y =2.50.05 \frac{2.5}{0.05}x

    y= 50 x

    yxy+x=50xx50x+x=49x51x\frac{y - x}{y + x} = \frac{50x - x}{50x + x} = \frac{49x}{51x}​​

    =4951 \frac{49}{51}

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