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The average monthly income of A and B is ₹15,050, the average monthly income of B and C is ₹15,350 and the average income of A and C is ₹15, 200. The monthly income of A is        (SSC Sub. Ins. 2016)
  • a)
    ₹15, 900
  • b)
    ₹15, 200
  • c)
    ₹14,900
  • d)
    ₹15,500
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average monthly income of A and B is 15,050, the average monthly i...
Sum of monthly income of A + B = 30100 ...(i)
Sum of monthly income of B + C = 30700 ...(ii)
Sum of monthly income of A + C = 30400 ...(iii)
Subtracting eqn. (i) from (ii)
B + C – A – B = 30700 – 30100
C – A = 600 ...(iv)
C + A = 30400 ...(v)
Subtracting eqn. (v) from (iv)
C – A – C – A = 600 – 30400 – 2A = – 29800
A = ₹14900
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Most Upvoted Answer
The average monthly income of A and B is 15,050, the average monthly i...
Given Data:
- Average income of A and B = 15,050
- Average income of B and C = 15,350
- Average income of A and C = 15,200

Let's find the individual incomes of A, B, and C:

Step 1: Calculate A + B
- A + B = 2 * Average income of A and B
- A + B = 2 * 15,050
- A + B = 30,100

Step 2: Calculate B + C
- B + C = 2 * Average income of B and C
- B + C = 2 * 15,350
- B + C = 30,700

Step 3: Calculate A + C
- A + C = 2 * Average income of A and C
- A + C = 2 * 15,200
- A + C = 30,400

Step 4: Find A
- A = (A + B + C) - (B + C)
- A = 30,100 - 30,700
- A = -600
Since the income of A cannot be negative, there must be an error in the given data or calculation.
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