Let's break down the problem step by step:

1. Defining Variables:

• Let the total profit be $P$ (in thousands of rupees).
• B's salary is given as 16.67% of the total profit. Therefore, B's salary is: $\text{B's Salary} = 0.1667P$
• A's salary is 16% of the remaining profit after paying B's salary. The remaining profit after paying B's salary is: $\text{Remaining Profit} = P - 0.1667P = 0.8333P$ So, A's salary is 16% of this remaining profit: $\text{A's Salary} = 0.16 \times 0.8333P = 0.1333P$

2. Total Amount A Received:

The total amount A received consists of two parts:

• A's salary of $0.1333P$, and
• A's share of the remaining profit.

After both salaries are deducted, the remaining profit is: $\text{Remaining Profit After Salaries} = P - (0.1667P + 0.1333P) = 0.7P$ A and B share this remaining profit in the ratio of 1:2. Therefore, A's share of the remaining profit is: $\text{A's Share} = \frac{1}{3} \times 0.7P = 0.2333P$

Thus, the total amount A received is: $\text{Total Amount A Received} = 0.1333P + 0.2333P = 0.3666P$

3. Equating A's Total to Rs. 11,000:

We are told that A received a total of Rs. 11,000. So, we set up the equation: $0.3666P = 11$ Solving for $P$ (total profit in thousands of rupees): $P = \frac{11}{0.3666} \approx 30$

4. Conclusion:

The total profit for the year is approximately Rs. 30,000.

Would you like further clarification on any part of the solution?

Related Questions:

1. How would the solution change if A's salary percentage was different?
2. What if B's salary was 20% of the total profit instead of 16.67%?
3. How much would B receive if the total profit was Rs. 40,000?
4. How is the profit-sharing ratio important in such problems?
5. What would happen if there was a third partner involved?

Tip:

When solving profit-sharing problems, clearly separate the fixed salary portions from the proportional profit-sharing portions to avoid confusion.