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There are four persons A, B, C and D. The total amount of money with A and B together is equal to the total amount of money with C and D together but the total amount of money with B and D together is more than the amount of money with A and C together. The amount of money with A is more than that with B. Who has the least amount of money ?
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- B
- D
- E
- Cannot be determined
Correct Option: B
According to the question,
A + B = C + D; B + D > A + C; A > B
Now, B + D > A + C and A > B
⇒ B + D > A + C > B + C ⇒ B + D > B + C ⇒ D > C
Now, B + D > A + C ⇒ B + D = A + C + K
Also, A + B = C + D ⇒ B - D = C - A
⇒ 2B = 2C + K ⇒ B > C ⇒ A > B > C
D > C
Clearly, each one of A, D and b has more amount than C. Hence, C has the least amount.
