Question

The average monthly income of A and B is ₹3,590. The average monthly income of B and C is ₹4,250. The average monthly income of A and C is ₹6,500. What is the monthly income of C?

• A. ₹7545
• B. ₹6984
• C. ₹8190
• D. ₹7160

Answer 1

Answer:

D. ₹7160

Let the monthly incomes be (A, B, C).

From the given averages:
$A + B = 2 \times 3590 = 7180$
$B + C = 2 \times 4250 = 8500$
$A + C = 2 \times 6500 = 13000$

Now add the first two:
$(A + B) + (B + C) = 7180 + 8500 = 15680$
$A + 2B + C = 15680$

Subtract ((A + C)):
$(A + 2B + C) - (A + C) = 15680 - 13000$
$2B = 2680 \Rightarrow B = 1340$
Now find (C):

B + C = 8500
C = 8500 - 1340 = 7160

Final Answer: ₹7,160