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    By which number should 2122\frac12221​ be multiplied to get 5255\frac25552​​​
    Question

    By which number should 2122\frac12 be multiplied to get 5255\frac25​​

    A.

    24252\frac4{25}​​

    B.

    1127\frac{11}{27}​​

    C.

    3

    D.

    3153\frac15​​

    Correct option is A

    Solution: 

    Let the number be x

    Now, 

    212×x=525 52x=275 x=275×25=5425=24252\frac12\times x = 5\frac25 \\ \ \\ \frac{5}{2}x =\frac{27}{5} \\ \ \\ x =\frac{27}{5}\times \frac25 =\frac{54}{25} = 2\frac4{25}​​

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