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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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