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## Explanation

Three partners A, B, C start a business.

- Twice A’s capital is equal to thrice B’s capital.
- B’s capital is four times C’s capital.

Let suppose C’s capital = y then B = 4y and 2A = 3B (which indicates A = 6y)

As ratio of profit equals ratio of investment; A : B : C = 6y : 4y : y

As total profit is given (16500); so B receives;

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

## To Find

B’s share in profit = ?

## Solution

Let suppose

Capital of C = y

Capital of B = 4y and

A’s capital;

2A = 3B

2A = 3(4y)

2A = 12y

A = 6y

A : B : C = 6y : 4y : y

A : B : C = 6 : 4 : 1 (and 6 + 4 + 1 = 11)

Total profit (given) = 16500

B’s share in profit = (4 x 16500)11 = **Rs.** **6000** **answer**

## Conclusion

Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16500 at the end of year, B’s share is Rs. 6000.