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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Tutor-Verified Answer
Step-by-step Solution
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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