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Question

A and B started a partnership business investing some amount in the ratio of 3:5 ,C joined them after six months with an amount equal to that of B In what proportion should the profit at the end of one year be distributed among A,BandC?
  1. 3:5:2
  2. 3:5:5
  3. 6:10:5
  4. Data inadequate

A
3:5:2
B
3:5:5
C
6:10:5
D
Data inadequate
Solution
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The correct option is C 6:10:5
Let the initial investments of A and B be 3x and 5x.
So the investment of C is also 5x
So the ratio of profits distributed among them is given by,
A:B:C=(3x×12):(5x×12):(5x×6)
A:B:C=36:60:30
A:B:C=6:10:5

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