Question

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

(a) A

(b) B

(c) C

(d) D

Answer 1

Correct option (b) B

Explanation:

As per the question, A + B > C + D …..(i)

A + C = B + D ………(ii)

A = (B + D)/2

Or B + D = 2A …………………….(iii)

Putting value of (B + D) in (ii), we get:

A + C = 2A

Or A = C

Using (i), we get:

A + B > C + D

or B > D

As per equation (iii), A (or C) is the mean of the values of B and D. Hence, its value must fall between B and D.

Hence, B > A = C > D. So, B’* income is the highest.