Question : A and B have an annual average income of Rs. 80,000. B and C have an annual average income of Rs. 75,000. C and A have an annual average income of Rs. 78,000. The annual income of A is:
Option 1: Rs. 81,000
Option 2: Rs. 82,000
Option 3: Rs. 83,000
Option 4: Rs. 84,000
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Correct Answer: Rs. 83,000
Solution :
Average of annual income of (A + B) = Rs. 80,000
Total income of (A + B) = 2 × 80,000 = 1,60,000..................(equation 1)
Average of annual income of (B + C) = Rs. 75,000
Total income of (B + C) = 2 × 75,000 = 1,50,000..................(equation 2)
Average of annual income of (C + A) = Rs. 78,000
Total income of (C + A) = 2 × 78,000 = 1,56,000..................(equation 3)
Adding all equations, we get:
2 x Total income of A, B, and C = 2(A + B + C) = 1,60,000 + 1,50,000 + 1,56,000 = 4,66,000
⇒ Total income of (A + B + C) = 2,33,000
Thus, A's annual income = Total income of (A + B + C) – Total income of (B + C) = 2,33,000 – 1,50,000 = 83,000
Hence, the correct answer is Rs. 83,000.
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