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## Explanation

A, B and C started a shop by investing Rs. 27000, Rs. 72000 and Rs. 81000 respectively.

Ratio of investment = A : B : C = 27000 : 72000 : 81000 (or A : B : C = 3 : 8 : 9).

As, we know that profit is distributed among partners according to their investment in a business so to find out total profit we can derive a sub-formula for the general formula mentioned below.

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

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

After placing values of C’s share in profit (Rs. 36000), total ratio (3 + 8 + 9 = 20) and C’s ratio of investment (9); we can easily find out the total profit which is Rs. 80000.

## To Find

Total profit = ?

## Solution

- Investment of A = 27000

- Investment of B = 72000

- Investment of C = 81000

A : B : C = 27000 : 72000 : 81000

A : B : C = 3 : 8 : 9 (3 + 8 + 9 = 20)

Total profit = (36000 x 20)/9

Total profit = **Rs. 80000 answer**

## Conclusion

A, B and C started a shop by investing Rs. 27000, Rs. 72000 and Rs. 81000 respectively. At the end of the year, the profits were distributed among them. If C’s share of profit be Rs. 36000, then the total profit will be Rs. 80000 which is our required answer.