Subjects algebra

Percent Change Discount E91307

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem Statement:** Calculate the percent increase or decrease given the starting and final values. 2. **Formula:** Percent Change = $$\frac{\text{Final Value} - \text{Starting Value}}{\text{Starting Value}} \times 100\%$$ 3. **Explanation:** - If the result is positive, it is a percent increase. - If the result is negative, it is a percent decrease. 4. **Calculations:** - For 200 to 120: $$\frac{120 - 200}{200} \times 100\% = \frac{-80}{200} \times 100\% = -40\%$$ (40% decrease) - For 500 to 550: $$\frac{550 - 500}{500} \times 100\% = \frac{50}{500} \times 100\% = 10\%$$ (10% increase) - For 300 to 400: $$\frac{400 - 300}{300} \times 100\% = \frac{100}{300} \times 100\% \approx 33.33\%$$ (33.33% increase) - For 800 to 500: $$\frac{500 - 800}{800} \times 100\% = \frac{-300}{800} \times 100\% = -37.5\%$$ (37.5% decrease) - For 620 to 600: $$\frac{600 - 620}{620} \times 100\% = \frac{-20}{620} \times 100\% \approx -3.23\%$$ (3.23% decrease) --- 5. **Problem Statement:** A bag originally costs 3600. It is discounted by 12%. Find the new price. 6. **Formula:** Discounted Price = Original Price \times (1 - Discount Rate) 7. **Calculation:** - Discount Rate = 12% = 0.12 - Discounted Price = $$3600 \times (1 - 0.12) = 3600 \times 0.88 = 3168$$ 8. **Answer:** The bag will cost 3168 after the discount.