Manager salary from averages: The average monthly salary of 20 workers is Rs 1900. When the manager is included, the average becomes Rs 2000 for 21 people. What is the manager's annual salary?
Aptitude
Average
Difficulty: Easy
Choose an option
Answer
Correct Answer: None of these
Explanation
Introduction / Context:When an additional member changes the average, we recover the person's value by comparing totals before and after inclusion, then annualize by multiplying by 12.Given Data / Assumptions:
- Workers = 20, average = Rs 1900
- With manager, count = 21, average = Rs 2000
Concept / Approach:Total = average * count. Monthly manager salary = new total - old total. Annual salary = monthly * 12.Step-by-Step Solution:
Old total = 20 * 1900 = 38000New total = 21 * 2000 = 42000Manager monthly = 42000 - 38000 = 4000Manager annual = 4000 * 12 = 48000Verification / Alternative check:Check new average: (38000 + 4000)/21 = 42000/21 = 2000. Correct.Why Other Options Are Wrong:
- Rs 24000, Rs 25200, Rs 45600: None equal the correct annual total of Rs 48000, hence 'None of these' is correct.
Common Pitfalls:Forgetting to annualize or mixing monthly and annual figures.Final Answer:
None of these