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Question

Rs. 3,000 is divided among A. B and C. such that A receives one-third as much as B and C together receive and B receives 2:3 as much as A and C together receive. Then share of C is

A
Rs.525
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B
Rs.1,625
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C
Rs.1,050
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D
Rs. 600
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Solution

The correct option is A Rs.1,050
A = 13 (B + C)
And B = 23 ( A + C)
From (1),
3A=B+C
3AC=B
Putting value of B in equation (2),
3AC = 23 (A + C)
9A3C=2A+2C
7A=5C
A = 57 C
AC=57
B=3AC=3 ×57 C-C = 87 C
BC=87
Now A : B : C = 5:8:7
Share of C = 720× 3000=Rs.1050.

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