Subjects algebra

Percentage Profit F9Bf8B

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1. **Problem 1: Find the length of the enlarged copy given the original length is 15 cm.** Since no scale factor or additional information is given, we cannot determine the enlarged length. More information is needed. 2. **Problem 2: Find the percentage profit Tony made on the car.** Given: - Cost price (CP) = 1500 - Selling price (SP) = 2150 Formula for percentage profit: $$\text{Percentage Profit} = \left(\frac{\text{SP} - \text{CP}}{\text{CP}}\right) \times 100$$ Step 1: Calculate profit: $$\text{Profit} = 2150 - 1500 = 650$$ Step 2: Calculate percentage profit: $$\text{Percentage Profit} = \left(\frac{650}{1500}\right) \times 100$$ Step 3: Simplify the fraction: $$\frac{650}{1500} = \frac{\cancel{650}}{\cancel{1500}} = \frac{13}{30}$$ Step 4: Calculate the percentage: $$\frac{13}{30} \times 100 = \frac{1300}{30} = 43.33\%$$ **Answer:** Tony made a 43.33% profit on the car. 3. **Problem 3: Find the weight decrease from 64.8 kg to 59.3 kg.** Step 1: Calculate the decrease in weight: $$64.8 - 59.3 = 5.5\text{ kg}$$ Step 2: Calculate the percentage decrease: $$\text{Percentage decrease} = \left(\frac{5.5}{64.8}\right) \times 100$$ Step 3: Simplify the fraction: $$\frac{5.5}{64.8} = \frac{\cancel{5.5}}{\cancel{64.8}} \approx 0.0849$$ Step 4: Calculate the percentage: $$0.0849 \times 100 = 8.49\%$$ **Answer:** Bill's weight decreased by 5.5 kg, which is approximately 8.49%.