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    61% of a number is 9028. What is 46% of that number?
    Question

    61% of a number is 9028. What is 46% of that number?

    A.

    6660

    B.

    6956

    C.

    7104

    D.

    6808

    Correct option is D

    Given:

    We are tasked to find 46% of a number given that 61% of the number is 9028.

    Solution:

    1. Let the number be x .

    61% of x=902861\% \text{ of } x = 9028

    2. Express the percentage as a fraction:

    61100×x=9028\frac{61}{100} \times x = 9028

    3. Solve for x :

    x=9028×10061x = \frac{9028 \times 100}{61}

    4. Simplify the calculation:

    x=90280061=14800x = \frac{902800}{61} = 14800

    5. Find 46% of x :

    46% of x=46100×1480046\% \text{ of } x = \frac{46}{100} \times 14800

    =46×14800100=6808= \frac{46 \times 14800}{100} = 6808

    Final Answer:

    46% of the number is 6808.46\% \text{ of the number is } 6808.

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