A, B and C centre into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profits be Rs 27000 C’s share is?
Question
A, B and C centre into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profits be Rs 27000 C’s share is?
Solution
To solve this problem, we need to understand the concept of partnership and how profits are divided. In a partnership, profits are divided based on the capital invested and the time period for which the capital was invested.
Let's denote the initial investment of A as 'x'.
- A's investment was 'x' for 12 months.
- B's investment was '2x' but it was only for the last 6 months of the year.
- C's investment was '3x' but it was only for the last 4 months of the year.
The ratio of their investments would be:
A : B : C = x12 : 2x6 : 3x*4 = 12 : 12 : 12 = 1 : 1 : 1
This means that the profit of Rs 27000 would be divided equally among A, B and C.
So, C's share of the profit would be Rs 27000 / 3 = Rs 9000.
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