A and B share profits in the ratio 7:4. C is given \(\frac{3}{11}\) of the total profit, and the remaining profit is shared in the old ratio. What will be A’s new share of profit?

Correct answer: \(\frac{56}{121}\)

After allocating \(\frac{3}{11}\) of the profit to C, the remaining profit is \(1-\frac{3}{11}=\frac{8}{11}\). This remainder is shared by A and B in their old ratio of 7:4. Therefore, A’s new share is \(\frac{8}{11}\times\frac{7}{11}=\frac{56}{121}\). Option B is only A’s old share, not the revised share. Exam tip: first calculate the remaining profit, then multiply it by the concerned partner’s old fraction.