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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?

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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.

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