Gross Jimenez
12/10/2023 · Junior High School

Simon buys 175 apples for R350,00. He then sells 14 dozen for R 40,00 per dozen and the remaining apples for R2,00 per apple. The percentage profit that he makes, rounded to two decimal digits, is Select one: a. \( 68,00 \% \). b. \( 60,57 \% \). c. \( 60,01 \% \). d. \( 64,00 \% \).

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To calculate the percentage profit Simon makes, we first need to determine his total costs, total revenue from sales, and then use these to find the profit and percentage profit. 1. **Total Cost**: Simon buys 175 apples for R350.00, so his total cost is: \[ \text{Total Cost} = R350.00 \] 2. **Sales**: - He sells 14 dozen apples. Since 1 dozen = 12 apples, 14 dozen is: \[ 14 \times 12 = 168 \text{ apples} \] - He sells these 168 apples at R40.00 per dozen: \[ \text{Revenue from 14 dozen} = 14 \times R40.00 = R560.00 \] 3. **Remaining Apples**: After selling 168 apples, the number of apples left is: \[ 175 - 168 = 7 \text{ apples} \] - He sells the remaining 7 apples at R2.00 each: \[ \text{Revenue from remaining apples} = 7 \times R2.00 = R14.00 \] 4. **Total Revenue**: Now, we can calculate the total revenue from both sales: \[ \text{Total Revenue} = R560.00 + R14.00 = R574.00 \] 5. **Profit**: The profit is calculated as: \[ \text{Profit} = \text{Total Revenue} - \text{Total Cost} = R574.00 - R350.00 = R224.00 \] 6. **Percentage Profit**: The percentage profit is calculated using the formula: \[ \text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Total Cost}} \right) \times 100 \] Substituting the values we have: \[ \text{Percentage Profit} = \left( \frac{R224.00}{R350.00} \right) \times 100 \approx 64.00\% \] Thus, the percentage profit that Simon makes, rounded to two decimal digits, is: **d. \( 64,00 \% \)**.

Quick Answer

Simon's percentage profit is \( 64.00 \% \).
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