Bunuel wrote:
For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair?
(1) The sales tax on the charge for labor was $9.60.
(2) The total sales tax was $12.60.
Kudos for a correct solution.
Solution:
Question Stem Analysis:We need to determine the total charge of a certain car repair given that this charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. We are already given the charge for parts (excluding sales tax) and sales tax rate; so if we can determine the charge for labor (regardless of whether the amount includes sales tax), we can determine the total charge.
Statement One Alone:We see that $9.60 is 6% of the charge for labor; therefore, the charge for labor (excluding sales tax) is 9.6/0.06 = $160. Since we’ve determined the charge of labor, we can determine the total charge. Statement one alone is sufficient.
Statement Two Alone:Since the charge for parts (excluding sales tax) is $50, the sales tax on the charge for parts is 50 x 0.06 = $3. Since the total sales tax was $12.60, the sales tax on the charge for labor is 12.6 - 3 = $9.60 We see that this is identical to the information from statement one. Therefore, statement two alone is also sufficient also.
Answer: D
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