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Rs.11256 is divided among X,Yand Z so that X may receive 1/3 as much as Y and Z together receive Y receives 1/5 of what X and Z together receive. The share of X is more than that of Y by

A. 

 1153

B. 

938

C. 

1236

D. 

 586

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Answer with explanation

Answer: Option B

Explanation

X = 1/3(Y+Z) => Y+Z = 3X
=>X+Y+Z = 11256
=> 4X = 11256
=> X = 2814
 Again, Y = 1/5(X+Z) => X+Z = 5Y
=> 6Y = 11256
=>Y = 1876
Then X's share is more than that of Y by Rs. (2814-1876) =938

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