You may use your calculator in this exercise. 1. Zia has saved money and now wants to buy some items at an end-of-year sale. She finds many items offered at a discount. Calculate the amount of the discount and the new selling price on each of the following items: (a) \( 15 \% \) off a R450 bicycle b) \( 20 \% \) off a R2 999 TV

Let's break down the problem step by step to calculate the discount and the new selling price for each item. ### Item (a): Bicycle 1. **Original Price**: R450 2. **Discount Percentage**: 15% **Step 1: Calculate the discount amount.** The discount amount can be calculated using the formula: \[ \text{Discount} = \text{Original Price} \times \left(\frac{\text{Discount Percentage}}{100}\right) \] Substituting the values: \[ \text{Discount} = 450 \times \left(\frac{15}{100}\right) \] **Step 2: Calculate the new selling price.** The new selling price can be calculated using the formula: \[ \text{New Selling Price} = \text{Original Price} - \text{Discount} \] ### Item (b): TV 1. **Original Price**: R2,999 2. **Discount Percentage**: 20% **Step 1: Calculate the discount amount.** Using the same formula: \[ \text{Discount} = \text{Original Price} \times \left(\frac{\text{Discount Percentage}}{100}\right) \] Substituting the values: \[ \text{Discount} = 2999 \times \left(\frac{20}{100}\right) \] **Step 2: Calculate the new selling price.** Using the same formula: \[ \text{New Selling Price} = \text{Original Price} - \text{Discount} \] Now, let's perform the calculations for both items. Calculate the value by following steps: - step0: Calculate: \(450\left(\frac{15}{100}\right)\) - step1: Reduce the fraction: \(450\times \frac{3}{20}\) - step2: Reduce the numbers: \(45\times \frac{3}{2}\) - step3: Multiply: \(\frac{45\times 3}{2}\) - step4: Multiply: \(\frac{135}{2}\) Calculate or simplify the expression \( 2999 * (20 / 100) \). Calculate the value by following steps: - step0: Calculate: \(2999\left(\frac{20}{100}\right)\) - step1: Reduce the fraction: \(2999\times \frac{1}{5}\) - step2: Multiply: \(\frac{2999}{5}\) Calculate or simplify the expression \( 2999 - 599.8 \). Calculate the value by following steps: - step0: Calculate: \(2999-599.8\) - step1: Subtract the numbers: \(2399.2\) Calculate or simplify the expression \( 450 - 67.5 \). Calculate the value by following steps: - step0: Calculate: \(450-67.5\) - step1: Subtract the numbers: \(382.5\) ### Calculations #### Item (a): Bicycle 1. **Original Price**: R450 2. **Discount Amount**: \[ \text{Discount} = 450 \times \left(\frac{15}{100}\right) = 67.5 \] 3. **New Selling Price**: \[ \text{New Selling Price} = 450 - 67.5 = 382.5 \] #### Item (b): TV 1. **Original Price**: R2,999 2. **Discount Amount**: \[ \text{Discount} = 2999 \times \left(\frac{20}{100}\right) = 599.8 \] 3. **New Selling Price**: \[ \text{New Selling Price} = 2999 - 599.8 = 2399.2 \] ### Summary of Results - **Bicycle**: - Discount: R67.5 - New Selling Price: R382.5 - **TV**: - Discount: R599.8 - New Selling Price: R2399.2