1. **State the problem:** A woman bought 210 oranges for 65 and sold them at a rate of 3 oranges for 2. We need to find the profit she made. 2. **Calculate the cost price (CP) per orange:** $$\text{CP per orange} = \frac{65}{210}$$ 3. **Calculate the selling price (SP) per orange:** Since 3 oranges are sold for 2, the price per orange is: $$\text{SP per orange} = \frac{2}{3}$$ 4. **Calculate total selling price:** $$\text{Total SP} = 210 \times \frac{2}{3} = 210 \times 0.6667 = 140$$ 5. **Calculate profit:** $$\text{Profit} = \text{Total SP} - \text{Total CP} = 140 - 65 = 75$$ 6. **Interpretation:** The woman made a profit of 75.