The average salary of A and B is Rs. 6000, while the average salary of C, D, and E is Rs. 8000. What is the average salary of all five people together?

Introduction / Context:
When combining groups with known averages, compute each group’s total, add them, then divide by the total headcount to get the combined average.

Given Data / Assumptions:

• Average of A, B = Rs. 6000 ⇒ 2 people
• Average of C, D, E = Rs. 8000 ⇒ 3 people

Concept / Approach:
Group total = average * count. Combined average = (total of group 1 + total of group 2) / 5.

Step-by-Step Solution:

Verification / Alternative check:
The combined average must lie between 6000 and 8000 and be closer to 8000 because the larger group has the higher average. Rs. 7200 satisfies both conditions.

Why Other Options Are Wrong:

• Rs. 7000 and Rs. 7500: Do not match the exact weighted computation.
• can't be determined: All required data are present.
• None of these: A correct option is provided (Rs.7200).

Common Pitfalls:
Taking the mean of 6000 and 8000 directly (which would be 7000) instead of doing a weighted average based on group sizes.

Final Answer:
Rs.7200