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Aptitude Day 211


Problems on Partnership:

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

Solution:
                  Let the amount invested be x.

                  Their ratio will be:
                  5x*12: 3x*12: 3x*8
                  5: 3: 2

                
2. A, B and C enter into a partnership in the ratio 1/7: 1/5: 1/2. After 6 months, A withdraws half of his capital and after 6 months, a profit of 339 is divided among them. What’s C’s share?

Solution:
                 1/7: 1/5: 1/2
                 This ratio can be written as 10: 14: 35

                 By adding the above ratio, we get 59.

                 (10x*6 + 5x*6): 14x*12 : 35x*12
                 (60x+30x) : 14x*12 : 35x*12
                 15: 28: 70

                 By adding the above ratio, we get 113.

                 C’s share = (339*70)/113 = 210.


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