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Question

Rs.5625 are divided among A,B and C so that A received half as much as B and C together and B received one fourth as much as A and C together. Find the sum of As and Bs share together.

A
Rs.2500
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B
Rs.3000
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C
Rs.1500
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D
Rs.4000
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Solution

The correct option is B Rs.3000

A = B+C2
B + C = 2 A
A + B + C = 3A
Thus 3A = 5625
A = Rs. 1875


Again B = A+C4
A + C = 4B
A + B + C = 5B
5B = 5625
B = Rs. 1125


Thus A's and B
's share together = (1875 + 1125) = Rs. 3000


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