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    Find the value of x if, 20% of 75 = 225 - x% of 420.
    Question

    Find the value of x if, 20% of 75 = 225 - x% of 420.

    A.

    50

    B.

    3

    C.

    1535

    D.

    20

    Correct option is A

    Given:

    20% of 75 = 225 - x% of 420

    Solution: 

    Now,

    20100×75=(225x100×420)\frac{20}{100} \times 75 = \left(225 - \frac{x}{100} \times 420\right)​​

    15=225x100×42015 = 225 - \frac{x}{100} \times 420​​

    x100×420=22515 \frac{x}{100} \times 420 = 225 - 15​​

    420x100=210\frac{420x}{100} = 210​​

    420x = 21000

    x = 21000420 \frac{21000}{420}​ = 50

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