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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:

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Rs. 40,000

Rs. 60,000

RS. 80,000

Rs. 1,20,000

answer is D.

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Detailed Solution

Here, the following set of relations identified in the question:
Question Image

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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