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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