A and B share profits in the ratio 4:7. The new partner C is given \(3/11\) of the total profit, and the remaining profit is shared between A and B in their old ratio. What will be the new profit-sharing ratio?

Correct answer: 32:56:33

C receives \(3/11\) of the profit, so the remaining share for A and B is \(1-3/11=8/11\). Distributing this in the old ratio 4:7 gives A \(8/11\times4/11=32/121\) and B \(8/11\times7/11=56/121\). C’s share is \(3/11=33/121\). Therefore, the new ratio is \(32:56:33\). Exam tip: Find the remaining share first, then distribute it among the old partners in their old ratio.