A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then 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, B and C?
📊 Partnership Profit Distribution 📊
Initial investment ratio of A and B = 3:5
Let’s assume A’s investment = 3x and B’s investment = 5x
C joins after 6 months with an investment equal to B’s = 5x
Since C invests for only 6 months, his effective investment for the year is:
(5x) × (6/12) = 2.5x
Now, calculate the total effective investments for the year:
A’s effective investment = 3x
B’s effective investment = 5x
C’s effective investment = 2.5x
Total effective investment = 3x + 5x + 2.5x = 10.5x
Profit distribution ratio = Effective investment ratio
= 3x : 5x : 2.5x
= 6 : 10 : 5
🎉 The profit at the end of one year should be distributed among A, B, and C in the ratio 6:10:5. 📊
