The average salary of the employees of a factory is ₹15,000. The average salary of 250 of the employees is ₹16,000 and that of the remaining employees is ₹13,750. The total number of employees in the factory is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 450
The average for the whole factory lies between the two group averages, and the excess of the group above it balances the shortfall of the group below it. Let the remaining employees be \(n\).
Each of the 250 earns ₹1000 more than the average: total excess \(=250\times1000=250000\)
Each of the \(n\) earns ₹1250 less than the average: total shortfall \(=1250n\)
\(1250n=250000\), so \(n=200\)
Total number of employees \(=250+200=450\)