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Consider the following investments:

Investment A: A profit of [tex]$390[/tex] on a [tex]$3700[/tex] investment.
Investment B: A profit of [tex]$93[/tex] on a [tex]$3500[/tex] investment.

Calculate the percentage of profit for each investment, rounding your answer to the nearest hundredth of a percent.

Answer :

Sure! Let's go through the question step by step to calculate the percentage of profit for each investment.

### Investment A
1. Initial data:
- Profit: [tex]$390
- Total investment: $[/tex]3700

2. Calculate percentage profit:
[tex]\[
\text{Percentage profit for Investment A} = \left( \frac{\text{Profit}}{\text{Total Investment}} \right) \times 100
\][/tex]
Substituting the given values:
[tex]\[
\text{Percentage profit for Investment A} = \left( \frac{390}{3700} \right) \times 100
\][/tex]

3. Perform the calculation:
[tex]\[
\left( \frac{390}{3700} \right) \times 100 = 10.54054054054054
\][/tex]

4. Round to the nearest hundredth:
[tex]\[
\text{Rounded percentage profit for Investment A} = 10.54\%
\][/tex]

### Investment B
1. Initial data:
- Profit: [tex]$93
- Total investment: $[/tex]3500

2. Calculate percentage profit:
[tex]\[
\text{Percentage profit for Investment B} = \left( \frac{\text{Profit}}{\text{Total Investment}} \right) \times 100
\][/tex]
Substituting the given values:
[tex]\[
\text{Percentage profit for Investment B} = \left( \frac{93}{3500} \right) \times 100
\][/tex]

3. Perform the calculation:
[tex]\[
\left( \frac{93}{3500} \right) \times 100 = 2.657142857142857
\][/tex]

4. Round to the nearest hundredth:
[tex]\[
\text{Rounded percentage profit for Investment B} = 2.66\%
\][/tex]

### Summary
- The percentage profit for Investment A, rounded to the nearest hundredth, is 10.54%.
- The percentage profit for Investment B, rounded to the nearest hundredth, is 2.66%.

These rounded percentages represent the final answers for the given investments.

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