Question

If the average wage of $100$ workers is $3000$ and the average wage of $25$ of them is $4500$ then find the average wage of the remaining workers.

• A. $2500$
• B. $3500$
• C. $4000$
• D. $2000$

Answer 1

Answer: (A)

$2500$

Mean $=\frac{\text{Sum of observations}}{\text{Total number of observations}}$
Given, Mean of wages of $100$ workers $=3000$
Thus, sum of wages of $100$ workers $=300\times 100=3,00,000$
Given, Mean of wages of $25$ workers $=4500$
Thus, sum of wages of $25$ workers $=4500\times 25=1,12,500$
Sum of the wages of remaining $100-25=75$ workers is $3,00,000-1,12,500=1,87,500$
And Mean of wages of $25$ workers $=\frac{1,87,500}{75}=2500$