Read the following information carefully to Ans the question given below:The sum of the incomes of A and B is more than that of C and D taken together. The sum of the incomes of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the incomes of B and D.If A’s income be Rs. 80,000 per annum and the difference between the incomes of B and D be the same as A’s income, then B’s income is:

# Read the following information carefully to Ans the question given below:The sum of the incomes of A and B is more than that of C and D taken together. The sum of the incomes of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the incomes of B and D.If A's income be Rs. 80,000 per annum and the difference between the incomes of B and D be the same as A's income, then B's income is:

1. A
Rs. 40,000
2. B
Rs. 60,000
3. C
RS. 80,000
4. D
Rs. 1,20,000

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### Solution:

Here, the following set of relations identified in the question:
From equations (3) and (4), we get:
From equations (4) and (5), we get:
Adding equations (6) and (7), gives us:
On dividing by 2, we get:

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