Directions:Read the following information and answer the questions that follow.There are 4 persons A, B, C and D.i) The total amount of money with A and B together is equal to the total amount of money with C and D together.ii) The amount of money with B and D together is more than the amount of money with A and C together.iii) The amount of money with A is twice than that of B.iv) B has Rs 10 with him.Q.Which of the following persons has the second highest amount of money?a)Cb)Bc)Ad)DCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

From the above conditions we get the equations as follows,
i) A + B = C + D
ii) B + D > A + C
iii) A = 2B
iv) B = 10

Now we use the condition iii) i.e., A = 2B for further solving
Let us assume A as 20 and B as 10.
A = 2B
A = 2 × 10 = 20

Let us place the values of A and B in the 1st equation,
i) A + B = C + D
20 + 10 = C + D
30 = C + D
C = 30 – D

Now let us place the values of A and B in the 2nd equation, we get

ii) B + D > A + C
10 + D > 20 + C
D > 10 + C [i.e., D > C]

We know that [C = 30 – D], so replace the value of C in the equation [D > 10 + C]
D > 10 + C
D > 10 + 30 – D
2D > 40
D > 20

After solving, we find out that D consists of a value more than 20.
We already know that A = 20 and B = 10.
So, D > A > B and D > C
Therefore, we finally get the condition as D > A > B > C.
Hence, A has the second highest amount of money.

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