A and B started a partnership. A invested Rs. 30,000 and B invested Rs. 70,000. At the end of the year, the total profit was Rs. 30,000.
Find the share of profit of A (in Rs).

The correct answer is 9000.

Step 1: Understand the principle of partnership and profit sharing
In a partnership business, if the investments are made for the same period of time, the total profit is divided among the partners in the ratio of their respective investments.

Step 2: Find the ratio of investments of A and B
Investment of A = Rs. 30,000
Investment of B = Rs. 70,000

Ratio of investments of A to B is:

$\text{Ratio}=30000:70000=3:7$

Step 3: Calculate the share of profit for A
Total profit = Rs. 30,000
Total ratio parts = 3 + 7 = 10

Share of profit of A is given by:

$\text{Share of A}=\left(\frac{3}{10}\right)\times 30000$

$\text{Share of A}=3\times 3000=9000$

Therefore, the share of profit of A is Rs. 9,000.