A and B two friends started a business jointly. The investment of B is equal to \(\frac{1}{3}\) times the investment of A. Find the profit share of B in the annual profit of 32000.

Explanation: The profit share is proportional to the investment. Investment of B = \(\frac{1}{3} \times\) Investment of A. Investment ratio A:B = \(3:1\). Profit share ratio A:B = \(3:1\). Let \(x\) be the profit share of B. Then A's profit share is \(3x\). Total profit = 32000. \(3x + x = 32000\). \(4x = 32000\). \(x = \frac{32000}{4} = 8000\). B's profit share is $8000.