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Three friends A, B and C decide to divide a certain sum among them in such a way that B and C together get twice the amount of A, and the amount received by B should be one fourth of the amount received by A and C together. If everyone divides Rs. 5625 among themselves, then how much will the amount in B's share be less than that of A.

Three friends A, B and C decide to divide a certain sum among them in such a way that B and C together get twice the amount of A, and the amount received by B should be one fourth of the amount received by A and C together. If everyone divides Rs. 5625 among themselves, then how much will the amount in B's share be less than that of A. Correct Answer Rs. 750

Given 

Total Money = Rs 5625 

Calculation 

According to the question

Ratio of money, A : (B + C) = 1 : 2 ---(i) 

Ratio of money, B : (A + C) = 1 : 4 ---(ii) 

Equation (i) and (ii) multiply by 5 and 3 respectively 

⇒ A : B + C = 5 : 10 

⇒ B : A + C = 3 : 12 

So, A : B : C = 5 : 3 : 7 

Total Money = Rs 5625 

⇒ 15x = 5625 

⇒ x = 375

Required Answer = 5x - 3x

⇒ 2x = 2 × 375 = Rs 750 

∴ The correct answer is Rs 750 

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