Rs. 5625 is divided among A, B and C so that A may receive 1/2 as much as B and C together receive and B receives 1/4 of what A and C together receive. The share of A is more than that of B by?

Rs. 750
Rs. 775
Rs. 1500
Rs. 1600

Correct Answer: Rs. 750

Explanation:

∵ A = (B + C)/2
⇒ B + C = 2 A
⇒ A + B + C = 3A
Thus 3A = 5625
⇒ A = Rs. 1875
Again B = ( A + C )/4
⇒ A + C = 4B
⇒ A + B + C = 5B
∴ 5B = 5625
∴ B = Rs. 1125
Thus A's share is more than that of B by Rs. (1875-1125) I.e. Rs. 750.

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