Question

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.
1. Rs. 745
2. Rs. 850
3. Rs. 750
4. Rs. 650

Answer 1

Correct Answer - Option 3 : 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