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    If A's salary is 16% more than that of B, then by what percentage is B's salary less than that of A (correct to two decimal places)?​
    Question

    If A's salary is 16% more than that of B, then by what percentage is B's salary less than that of A (correct to two decimal places)?​

    A.

    13.79%

    B.

    13.62%

    C.

    15.05%

    D.

    12.72%

    Correct option is A

    Given:
    Salary of A is 16% more than salary of B.
    Solution:
    Let the salary of B be 100x.
    Salary of A = 100x + 100x × 16% = 116x
    Percentage Difference=(116x100x116x)×100=>(16x116x)×100=>13.79%\text{Percentage Difference} = \left( \frac{116x - 100x}{116x} \right) \times 100\\\Rightarrow \left( \frac{16x}{116x} \right) \times 100\\\Rightarrow 13.79\%\\​​
    ∴ B's salary is 13.79% less than that of A

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