A,B and C enter into partnership. A invests some money at the beginning, B invest double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Tk. 27,000, C's share is:
To find C's share of the annual profit, we'll first calculate the individual contributions of A, B, and C based on their investment durations.
Let's assume A's initial investment is "x" Tk. Since B invests double the amount after 6 months, B's investment at the beginning was "2x" Tk, and C invests thrice the amount after 8 months, so C's investment at the beginning was "3x" Tk.
Now, we need to consider the time each partner's money is invested:
- A's money is invested for 12 months (the whole year).
- B's money is invested for 6 months (half a year).
- C's money is invested for 4 months (12 months - 8 months).
Now, let's calculate their shares of the profit based on their investments:
A's share = (A's investment duration / Total investment duration) * Total profit A's share = (12 / 12) * 27,000 = 27,000 Tk
B's share = (B's investment duration / Total investment duration) * Total profit B's share = (6 / 12) * 27,000 = 13,500 Tk
C's share = (C's investment duration / Total investment duration) * Total profit C's share = (4 / 12) * 27,000 = 9,000 Tk
So, C's share of the annual profit is Tk. 9,000.
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