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A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after six months and C invest thrice the amount after eight months. If the annual profit be Rs. 27000; C's share (in Rs.) is ?
  • a)
    Rs. 8625
  • b)
    Rs. 9000
  • c)
    Rs. 10800
  • d)
    Rs. 11250
Correct answer is option 'B'. Can you explain this answer?
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A, B and C enter into a partnership. A invests some money at the begin...
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A, B and C enter into a partnership. A invests some money at the begin...
Given:
- A, B, and C enter into a partnership.
- A invests some money at the beginning.
- B invests double the amount after six months.
- C invests thrice the amount after eight months.
- The annual profit is Rs. 27000.

To find:
- C's share in the profit.

Solution:

Let's assume that A's initial investment is x.

Investment Ratio:
- A's investment = x (from the beginning)
- B's investment = 2x (after 6 months)
- C's investment = 3x (after 8 months)

Time Ratio:
- A invests for 12 months.
- B invests for 6 months.
- C invests for 4 months.

Profit Ratio:
The profit is divided in the ratio of the time period for which each partner has invested their money.

- A's share = x * 12
- B's share = 2x * 6
- C's share = 3x * 4

We know that the total profit is Rs. 27000.

So, we have the equation:
x * 12 + 2x * 6 + 3x * 4 = 27000

Simplifying the equation:
12x + 12x + 12x = 27000
36x = 27000
x = 750

C's Share:
C's share = 3x * 4 = 3 * 750 * 4 = 9000

Therefore, C's share in the profit is Rs. 9000.
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A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after six months and C invest thrice the amount after eight months. If the annual profit be Rs. 27000; C's share (in Rs.) is ?a)Rs. 8625b)Rs. 9000c)Rs. 10800d)Rs. 11250Correct answer is option 'B'. Can you explain this answer?
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