NTSE Stage 2 MAT 2015 Question Paper

Question : 38 of 100

Marks: +1, -0

The sum of the incomes of A and B is more than that of C and D taken together. The sum of 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. Whose income is the highest?

Validate

Solution:

(\A+\B)>\C+\D

...(i)

\A+\C=\B+\D

...(ii)

\A=1/2(\B+\D)

...(ii)
∴

\B+\D=2\A

From equation (ii)

\A+\C=2\A

∴

\C=\A

From equation (i)
∴

\B>\D (\Since \C = \A)

∴ So, we have

\B>\D>\C=\A

Hence the income of B is the highest.

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