The average monthly income of A and B is Rs. 4320, that of B and C is Rs. 5280, and that of A and C is Rs. 6020. What is the mont…

Question

The average monthly income of A and B is Rs. 4320, that of B and C is Rs. 5280, and that of A and C is Rs. 6020.

What is the monthly income of A?

1. A. 3410
2. B. 5060 (Correct answer)
3. C. 4050
4. D. 6160

Correct Answer

Option B — 5060

Detailed Solution & Explanation

The correct answer is 5060.

Key Points

• Convert each average into a sum of two incomes: A + B = 2 × 4320 = 8,640; B + C = 2 × 5280 = 10,560; A + C = 2 × 6020 = 12,040.
• Add all three: 2(A + B + C) = 8,640 + 10,560 + 12,040 = 31,240, so A + B + C = 15,620.
• Subtract the pair that excludes A: A = 15,620 − (B + C) = 15,620 − 10,560 = 5,060.

Additional Information

• Adding all three pairwise sums always counts each person exactly twice, which is what makes the total recoverable.
• The same method gives B = 15,620 − 12,040 = 3,580 and C = 15,620 − 8,640 = 6,980; these correctly reproduce all three given averages.

*Ministry of Papers worked solution. The Commission has not yet published the official key for this paper; this answer will be reconciled with it on release.*