1. **Problem statement:**
We are given the cost of a phone case in Chinese Yuan (¥28), an exchange rate ($1 = ¥7.17), and a tariff of 15%. We need to find the total cost per phone case in dollars after applying the tariff and then calculate the percentage profit if the phone case sells for $6.45.
2. **Convert the price of one phone case to dollars:**
The formula to convert from Yuan to dollars is:
$$\text{Price in dollars} = \frac{\text{Price in Yuan}}{\text{Exchange rate}}$$
So,
$$\text{Price in dollars} = \frac{28}{7.17}$$
3. **Calculate the price in dollars:**
$$\frac{28}{7.17} \approx 3.905$$
Rounded to the nearest cent:
$$3.91$$
4. **Apply the 15% tariff:**
The tariff increases the cost by 15%, so the total cost is:
$$\text{Total cost} = \text{Price in dollars} \times (1 + 0.15)$$
Substitute the value:
$$3.91 \times 1.15 = 4.4965$$
Rounded to the nearest cent:
$$4.50$$
5. **Calculate the percentage profit:**
The selling price is $6.45, and the cost price including tariff is $4.50.
Profit = Selling price - Cost price
$$6.45 - 4.50 = 1.95$$
Percentage profit formula:
$$\text{Percentage profit} = \left(\frac{\text{Profit}}{\text{Cost price}}\right) \times 100$$
Substitute values:
$$\frac{1.95}{4.50} \times 100 = 43.333...$$
Rounded to the nearest whole number:
$$43\%$$
**Final answers:**
- (b) Total cost per phone case after tariff: $4.50
- (c) Percentage profit: 43%
Tariff Calculation B94688
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