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\( 4.3 .4 \quad 8\left(4 \frac{3}{n}+3 \frac{8}{9}\right) \) 4.4. Yogut expiring in four days is placed on discount of \( 30 \% \) OFF . The original price of the jugurt is R04. Determine the price of the yogut aner the price has teduced. (3) 4 \% Caleulate the perventage increase if the price of a bus ticket increases from K60 to R84. (3) 4.6. Calculate the percentage decrease if the prise of petrol gocs down from \( R 10 \) a litre to R9. (1)

Ask by Fernandez Byrd. in South Africa
Mar 08,2025

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Tutor-Verified Answer

Answer

- Yogurt price after discount: R2.8 - Bus ticket price increase: 40% - Petrol price decrease: 10%

Solution

Let's solve each part of the problem step by step. ### 4.4 Yogurt Discount Calculation **Known Conditions:** - Original price of yogurt: \( R04 \) - Discount: \( 30\% \) **Step 1: Calculate the discount amount.** The discount amount can be calculated using the formula: \[ \text{Discount Amount} = \text{Original Price} \times \frac{\text{Discount Percentage}}{100} \] Substituting the values: \[ \text{Discount Amount} = 4 \times \frac{30}{100} = 4 \times 0.3 = 1.2 \] **Step 2: Calculate the reduced price.** The reduced price can be calculated as: \[ \text{Reduced Price} = \text{Original Price} - \text{Discount Amount} \] Substituting the values: \[ \text{Reduced Price} = 4 - 1.2 = 2.8 \] ### 4.5 Percentage Increase Calculation **Known Conditions:** - Original price of bus ticket: \( K60 \) - New price of bus ticket: \( R84 \) **Step 1: Calculate the increase in price.** \[ \text{Increase} = \text{New Price} - \text{Original Price} = 84 - 60 = 24 \] **Step 2: Calculate the percentage increase.** The percentage increase can be calculated using the formula: \[ \text{Percentage Increase} = \left(\frac{\text{Increase}}{\text{Original Price}}\right) \times 100 \] Substituting the values: \[ \text{Percentage Increase} = \left(\frac{24}{60}\right) \times 100 = 0.4 \times 100 = 40\% \] ### 4.6 Percentage Decrease Calculation **Known Conditions:** - Original price of petrol: \( R10 \) - New price of petrol: \( R9 \) **Step 1: Calculate the decrease in price.** \[ \text{Decrease} = \text{Original Price} - \text{New Price} = 10 - 9 = 1 \] **Step 2: Calculate the percentage decrease.** The percentage decrease can be calculated using the formula: \[ \text{Percentage Decrease} = \left(\frac{\text{Decrease}}{\text{Original Price}}\right) \times 100 \] Substituting the values: \[ \text{Percentage Decrease} = \left(\frac{1}{10}\right) \times 100 = 0.1 \times 100 = 10\% \] ### Summary of Results - **Reduced price of yogurt:** \( R2.8 \) - **Percentage increase in bus ticket price:** \( 40\% \) - **Percentage decrease in petrol price:** \( 10\% \)

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To determine the reduced price of the yogut after a 30% discount on the original price of R04, first calculate the discount amount: 30% of R04 is R1.20. Subtract that from the original price, giving you R2.80 as the final price after discount. To find the percentage increase in the price of the bus ticket, subtract the original price (K60) from the new price (R84), which is R24. Divide this by K60 and multiply by 100 to get an increase of 40%. This helps evaluate the price change effectively!

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