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## Explanation

A, B and C enter into a partnership.

A invests 3 times as much as B

B invests two-third of what C invests

We will assume Câ€™s investment as y then Bâ€™s investment becomes 2y/3 and Câ€™s investment would be 2y.

As, profit ratio equals to investment ratio

A : B : C = 2y : 2y/3 : y

Profit earned is 6600 and Bâ€™s profit would be;

Bâ€™s share in profit = (Bâ€™s ratio of investment x total profit) / total ratio

## To Find

Bâ€™s share in annual profit = ?

## Solution

Let suppose

Investment of C = y

Then; Bâ€™s investment = 2y/3

Aâ€™s investment = 2y

Ratio of investment is equal to ratio of profit

A : B : C = 2y : 2y/3 : y

A : B : C = 2 : 2/3 : 1

A : B : C = 6 : 2 : 3 (and 6 + 2 + 3 = 11)

Total annual profit = 6600

Bâ€™s share in profit = (2 x 6600)/11

Bâ€™s share in profit = **Rs. 1200** **answer**

### Conclusion

A, B and C enter into a partnership. A invests 3 times as much as B invests and B invest two-third of what C invests. At the end of the year, the profit earned is Rs. 6600. The share of B will be Rs. 1200.