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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.
