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?OptionsRs 9000Rs 11250Rs 10800Rs 8625
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?OptionsRs 9000Rs 11250Rs 10800Rs 8625
Solution
The problem is about the distribution of profits in a partnership based on the capital invested and the time for which it was invested.
Let's denote the initial investment of A as 'x'.
According to the problem:
- A invests 'x' for 12 months.
- B invests 2x after 6 months, so B's investment is for 6 months.
- C invests 3x after 8 months, so C's investment is for 4 months.
The ratio of their investments would be:
- A : B : C = x12 : 2x6 : 3x*4
- Simplifying this, we get A : B : C = 12 : 12 : 12, which simplifies further to 1:1:1.
This means that the annual profit of Rs 27000 should be divided equally among A, B, and C.
So, C's share of the profit would be Rs 27000 / 3 = Rs 9000.
Therefore, the correct option is Rs 9000.
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