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

Question

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.

(1) The sales tax on the charge for labor was $9.60.
(2) The total sales tax was $12.60.

Skywalker18 · Accepted Answer

Let total charge for repair= T
Charge for parts excluding sales tax, P=50
Let charge for labour excluding sales tax = L

T=1.06 *(50+L)
 = 53 +1.06L

1. 
.06L=9.60
=>L = 160
Sufficient

2.
.06*(50+L)=12.6
=>3+.06L =12.6
=>.06L=9.60
Sufficient
Answer D

Kurtosis · Answer

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

Answer: D

reto · Answer

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

Answer D

yosita18 · Answer

adil123 · Answer

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

TheNightKing · Answer

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.

GMATinsight · Answer

Answer: Option D

Video solution by  GMATinsight

https://www.youtube.com/watch?v=_3Q86dic-bM

ScottTargetTestPrep · Answer

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

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=KL_Acwi6TGI

bumpbot · Answer

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

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

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