In a company, the average salary of 10 assistants is ₹45,000, and the average…
2026
In a company, the average salary of 10 assistants is ₹45,000, and the average salary of 5 managers is ₹1,20,000. Find the average salary (in ₹) of all 15 employees.
Answer: B. 70,000 — ConceptFor groups of different sizes, a combined average must weight each group by its number of observations. Convert each group average into a total, add…
- A.
76,000
- B.
70,000
- C.
72,000
- D.
75,000
Attempted by 53 students.
Show answer & explanation
Correct answer: B
Concept
For groups of different sizes, a combined average must weight each group by its number of observations.
Convert each group average into a total, add the totals, and divide by the combined number of observations.
Application
The assistants’ total salary is 10 × ₹45,000 = ₹4,50,000.
The managers’ total salary is 5 × ₹1,20,000 = ₹6,00,000.
The combined average is (₹4,50,000 + ₹6,00,000) ÷ 15 = ₹10,50,000 ÷ 15 = ₹70,000.
Cross-check
The combined average ₹70,000 lies between ₹45,000 and ₹1,20,000 and is closer to ₹45,000 because assistants are the larger group. Therefore, the average salary of all 15 employees is ₹70,000.