Question
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?Solution
A + B = C + DB + D > A + CA > B Now, B + D > A + C and A > B ⇒ B + D > A + C > B + CB + D > B + C So, D > C Now, B + D > A + C ⇒ B + D = A + C + K Also , A + B = C + D ⇒ B -D = C - A ⇒ 2 B = 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.
Match the following
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