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# For a certain car repair, the total charge consisted of a charge for p

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Re: For a certain car repair, the total charge consisted of a charge for p [#permalink]
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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.

Set up the equation. Let the charge for parts be P and the charge for labor be L. The question asks:

Total = P + L + 0.06P + 0.06L = ?
Total = 50 + L + 0.06*50 + 0.06L = ? (P is already given)

1) Gives you the value for L, hence sufficient
2) 12.60 = 0.06*50+0.06L, from this you can calculate the Value for L and hence the total too

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Re: For a certain car repair, the total charge consisted of a charge for p [#permalink]
Vyshak wrote:
P = Charge for parts = 50\$
L = Charge for labor
T = Total Cost

T = P + L + (0.06)P + (0.06)L

St1: 0.06L = 9.6 --> L = 9.6/0.06 --> Sufficient
St2: 0.06P + 0.06L = 12.16 --> We get the value of L --> Sufficient

Quote:
Sir:
while the question is straight forward.
How can you be sure that the sales tax on charge labor is 6%.
In the question stem, it is given 6 percent sales tax on both charge for parts and charge for labor.
Individually, the sales tax can vary for charge part Vs. charge for labor.

Or by default, the sales tax even if mentioned for both the items, it never varies for individual items?

Regards,
Yosita

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Re: For a certain car repair, the total charge consisted of a charge for p [#permalink]
P=\$50, Charge = L + P + 6/100(L+P)
1. 6/100*L=\$9.6 L can be found out so, Sufficient
2. 6%(L+P)=\$12.6 P can be calculated so sufficient
D
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Re: For a certain car repair, the total charge consisted of a charge for p [#permalink]
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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.

We need to find : P+L+0.06P+0.06L

We are given P=50 so we can find 0.06P. So it boils down to finding L.

Statement 1:

0.06L=9.6\$. We can find L from it. So we can find the total.

Statement 2:
0.06P+0.06L=12.6 But we already know 0.06P that in turns means we can find 0.06L and that makes it exactly like statement 1.

Hence Each alone is sufficient.
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Re: For a certain car repair, the total charge consisted of a charge for p [#permalink]
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.

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Re: For a certain car repair, the total charge consisted of a charge for p [#permalink]
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.

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Re: For a certain car repair, the total charge consisted of a charge for p [#permalink]
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Re: For a certain car repair, the total charge consisted of a charge for p [#permalink]
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