Rs. 5625 is to be 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
Select
A) 237 B) 279 C) 271 D) 750 E) 112
A + B + C = 5625   \inline B=\frac{1}{4}(A+C) \Rightarrow A+C =4B   \inline \therefore 4B + B = 5625   B = 1125   Also A + C = 4B = 4 x 1125 = 4500   Also \inline A=\frac{1}{2}(B+C)\Rightarrow B+C= 2A   B = 2A - C   \inline \therefore 2A - C = 1125   Now solving A+C = 4500 and 2A-C = 1125   Then A = 1875 and C = 2625   \inline \therefore A-B = 1875 - 1125 = Rs. 750   Answer:750
<result>D</result>
Rs. 5625 is to be 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