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Classwork \( 25-02-2025 \) 1. Toby buys a pack of 12 racing cars thm for \( R 49,99 \) and sells each racing car for R10 at school. 1.1 Determine the cost price per racing car 1.2 Calculate the profit joby makes per racing car 1.3 Determine loby's profit margin on one pack of racing cars

Ask by Schultz Mills. in South Africa
Feb 25,2025

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1.1 Cost per racing car: R4.17 1.2 Profit per racing car: R5.83 1.3 Total profit per pack: R70.01 (58.34% profit margin)

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We are given that Toby buys a pack of 12 racing cars for R49,99 and sells each for R10. We will work through each part step by step. ────────────────────────────── 1.1 Cost Price per Racing Car To find the cost price per car, divide the total cost by the number of cars:   Cost per car = R49,99 ÷ 12 Calculating:   R49,99 ÷ 12 ≈ R4,166 (rounded to three decimals) Rounded to two decimal places, the cost per car is approximately R4,17. ────────────────────────────── 1.2 Profit per Racing Car The profit on one car is the selling price minus the cost price per car.   Profit per car = Selling price – Cost price per car   Profit per car = R10 – R4,17 ≈ R5,83 ────────────────────────────── 1.3 Profit Margin on One Pack of Racing Cars Step 1: Find the total revenue from selling the pack.   Total revenue = Number of cars × Selling price per car   Total revenue = 12 × R10 = R120 Step 2: Calculate the total profit for the pack.   Total profit = Total revenue – Total cost   Total profit = R120 – R49,99 ≈ R70,01 Thus, Toby makes approximately R70,01 profit on one pack. (Optional: If a percentage profit margin is desired based on sales revenue, you can calculate it as follows) Profit margin (%) = (Total profit ÷ Total revenue) × 100   Profit margin ≈ (R70,01 ÷ R120) × 100 ≈ 58,34% ────────────────────────────── Summary of Answers 1.1 The cost price per racing car is approximately R4,17. 1.2 The profit made per racing car is approximately R5,83. 1.3 Toby’s total profit on one pack is approximately R70,01, which represents about a 58,34% profit margin on the selling price. These calculations use rounded values to two decimal places.

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To find the cost price per racing car, you divide the total cost by the number of cars. Toby's pack costs R49.99 for 12 cars, so the cost price per racing car is \( R49.99 \div 12 \approx R4.17 \). For the profit per racing car, you subtract the cost price from the selling price. If Toby sells each car for R10, his profit per car is \( R10 - R4.17 \approx R5.83 \). To find Toby's total profit margin on one pack of racing cars, first calculate the total profit from selling all 12 cars: \( 12 \times R5.83 \approx R69.99 \). The profit margin as a percentage can be calculated as \( \frac{Total Profit}{Total Cost} \times 100 \approx \frac{R69.99}{R49.99} \times 100 \approx 140\% \). So, Toby is making a hefty profit margin!

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