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A and B have their annual average income Rs. 80,000. B and C have their annual average income Rs. 75,000. C and A have their annual average income Rs. 78,000. The annual income of A is
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- Rs. 81000
- Rs. 82000
- Rs. 83000
- Rs. 84000
- Rs. 81000
Correct Option: C
According to question ,
Average of annual income of (A + B) = Rs. 80000
Total annual income of (A + B) = Rs. (2 × 80000) = Rs. 160000 ..... (i)
Average of annual income of (B + C) = Rs. 75000
Total annual income of (B + C) = Rs. (2 × 75000) = Rs. 150000 ..... (ii)
Average of annual income of (C + A) = Rs. 78000
Total annual income of (C + A) = Rs. (2 × 78000) = Rs. 156000 ..... (iii)
On adding all three equations , we get
Total annual income of 2 (A + B + C) = Rs. (160000 + 150000 + 156000) = Rs. 466000
∴ Total annual income of (A + B + C) = Rs. 233000 ..... (iv)
∴ A’s annual income = Equation (iv) – (ii)
∴ A’s annual income = Rs. (233000 – 150000) = Rs. 83000
