1. **State the problem:** Calculate the shop owner's profit on 8 spark plugs.
2. **Given data:**
- Cost per spark plug to owner: $2.33
- Quantity: 8 spark plugs
- Price charged for 1 set of 8 spark plugs: $31.84
- Sales tax: 5% on parts only
3. **Calculate total cost to owner:**
$$\text{Total cost} = 8 \times 2.33 = 18.64$$
4. **Calculate sales tax on parts:**
Parts include spark plugs, wires, distributor cap, rotor.
Sum of parts before tax:
$$31.84 + 73.92 + 24.16 + 9.10 = 138.02$$
Calculate 5% sales tax on parts:
$$\text{Sales tax} = 0.05 \times 138.02 = 6.901$$
5. **Calculate total price charged for spark plugs including tax:**
Since $31.84$ is price before tax for spark plugs, add tax proportionally:
Proportion of spark plugs in parts:
$$\frac{31.84}{138.02} \approx 0.2307$$
Tax on spark plugs:
$$6.901 \times 0.2307 \approx 1.59$$
Total price charged for spark plugs including tax:
$$31.84 + 1.59 = 33.43$$
6. **Calculate profit:**
$$\text{Profit} = \text{Price charged including tax} - \text{Cost to owner}$$
$$= 33.43 - 18.64 = 14.79$$
**Final answer:** The shop owner's profit on the spark plugs is $14.79$.
Spark Plug Profit Da653E
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