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

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

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

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.

Answer: Option D

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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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