A manager joins the company — Averages Aptitude Question
A manager joins the company: The average salary of 20 employees is ₹15,000. When the manager's salary is added the… Answer and worked solution on CodeKairo.
- Topic: Averages
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
The average salary of 20 employees is ₹15,000. When the manager's salary is added the average rises by ₹500. What is the manager's salary?
Options
- ₹20,000
- ₹25,500
- ₹27,000
- ₹30,000
Show the answer and the worked solution
Correct answer: B. ₹25,500
Worked solution
- Old total = 20 × 15,000 = ₹3,00,000.
- New total = 21 × 15,500 = ₹3,25,500.
- Manager = 3,25,500 − 3,00,000 = ₹25,500.
Answer: ₹25,500.
The idea
Or use the shortcut: new average + n × rise = 15,500 + 20 × 500 = 25,500. Both routes agree; the shortcut is faster under time pressure.
Shortcut. Manager = old average + new headcount × rise = 15,000 + 21 × 500 = ₹25,500.
Common trap. "₹20,000" — it looks like a sensible manager's pay, but ₹5,000 above the old average spread over 21 people lifts it by only about ₹238, not ₹500.