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## Explanation

A, B and C enter into a partnership.

- A invests some money at the beginning.
- B invests double the amount after 6 months.
- C invest thrice the amount after 8 months.

Assuming A invests Rs. “y” then B’s would be “2y” and C’s investment would be “3y”.

Total investment of A, B and C for 12 months, 6 months and 8 months respectively (12y : 12y : 12y).

Out of total profit (27000), C receives;

C’s share in profit = (C’s ratio of investment x total profit)/total ratio

## To Find

C’s share in profit = ?

## Solution

Let suppose

A invests = y

For 12 months = 12y

Investment of B = 2y

For 6 months = 12y

Investment of C = 3y

For 4 months = 12y

A : B : C = 12y : 12y : 12y

A : B : C = 1 : 1 : 1 (1 + 1 + 1 = 3)

Total profit (given) = 27000

C’s share in profit = (1 x 27000)/3 = **Rs.** **9000** **answer**

## Conclusion

A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invest thrice the amount after 8 months. If the annual profit be Rs. 27000, C’s share would be Rs. 9000.

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