Subjects algebra

Profit Percent 5619Ea

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1. **Problem Statement:** Michelle bought 20 jars for 3500 with a 15% discount and sold 10 jars for 1800 and the remaining 10 jars at 185 each. Find the profit percent. 2. **Formula and Rules:** - Cost Price (CP) after discount = Original Price \times (1 - Discount Rate) - Total Selling Price (SP) = Sum of selling prices of all jars - Profit = SP - CP - Profit Percent = \left(\frac{Profit}{CP}\right) \times 100 3. **Calculate Cost Price after discount:** $$\text{CP} = 3500 \times (1 - 0.15) = 3500 \times 0.85 = 2975$$ 4. **Calculate Total Selling Price:** - Selling price of first 10 jars = 1800 - Selling price of remaining 10 jars = $10 \times 185 = 1850$ - Total SP = 1800 + 1850 = 3650 5. **Calculate Profit:** $$\text{Profit} = 3650 - 2975 = 675$$ 6. **Calculate Profit Percent:** $$\text{Profit Percent} = \left(\frac{675}{2975}\right) \times 100 = \frac{67500}{2975}$$ 7. **Simplify the fraction:** $$\frac{67500}{2975} = \frac{\cancel{67500}}{\cancel{2975}} = 22.69\% \text{ (approx)}$$ **Final Answer:** Michelle gained approximately 22.69% profit.