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    The distribution of 100 workmen employed in a factory according to their monthly salary, showed an average salary of Rs. 4,500 per month. If the media
    Question

    The distribution of 100 workmen employed in a factory according to their monthly salary, showed an average salary of Rs. 4,500 per month. If the median salary is found to be Rs. 4,900, find the mode salary.

    A.

    Rs. 5,600

    B.

    Rs. 5,500

    C.

    Rs. 5,700

    D.

    Rs. 5,800

    Correct option is C

    Given:
    Total number of workmen = 100
    Average (mean) salary = Rs. 4500
    Median salary = Rs. 4900
    Formula Used:
    Mode=3×Median2×Mean\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}​​
    Solution:
    Substituting the values of mean and median:
    Mode=3×49002×4500\text{Mode} = 3 \times 4900 - 2 \times 4500​​
    Mode=147009000=5700\text{Mode} = 14700 - 9000 = 5700​​
    Thus, The mode salary is Rs. 5700.

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