Select the correct answerA, 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 11250Rs 9000Rs 10800Rs 8625
Question
Select the correct answerA, 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 11250Rs 9000Rs 10800Rs 8625
Solution 1
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 amount A invested as 'x'.
According to the problem, B invested double the amount after 6 months, so B's investment can be represented as 2x for (12-6) = 6 months.
C invested thrice the amount after 8 months, so C's investment can be represented as 3x for (12-8) = 4 months.
The ratio of their investments, which is also the ratio of their profit shares, is calculated as follows:
A : B : C = x12 : 2x6 : 3x*4 = 12x : 12x : 12x = 1 : 1 : 1
This means that the profit of Rs 27000 should be divided equally among A, B, and C.
So, C's share of the profit is Rs 27000 / 3 = Rs 9000.
Therefore, the correct answer is Rs 9000.
Solution 2
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 amount A invested as 'x'.
According to the problem:
- A invested 'x' for 12 months.
- B invested 2x after 6 months, so B's investment was for 6 months.
- C invested 3x after 8 months, so C's investment was for 4 months.
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 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 answer is Rs 9000.
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