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# The total cost for an Air Conditioner consists of the cost of the Air

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
The total cost for an Air Conditioner consists of the cost of the Air  [#permalink]

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10 Oct 2018, 03:55
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:29) correct 23% (01:24) wrong based on 45 sessions

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The total cost for an Air Conditioner consists of the cost of the Air Conditioner and the cost of installation. A fixed sales tax of 10% is charged on both the cost of the Air Conditioner and the installation cost. If the cost of the Air Conditioner, excluding sales tax, was $600, what was the total amount for the Air Conditioner and the installation including sales tax? (1) The sales tax on the installation cost was$6.
(2) The total sales tax was $66. _________________ Director Joined: 18 Jul 2018 Posts: 679 Location: India Concentration: Finance, Marketing WE: Engineering (Energy and Utilities) Re: The total cost for an Air Conditioner consists of the cost of the Air [#permalink] ### Show Tags 10 Oct 2018, 05:06 From the question, Price of AC excluding sales tax = 600$.

Sales tax = 10% of 600. = 60$. From statement 1: Sales tax on installation = 6$ = 0.1(Cost of installation)

Cost of installation = 60$. Total = 660+60 = 720$.
Sufficient.

From statement 2:

Total sales tax = 66$. Sales tax on AC = 60$ (From question.)
Therefore, Sales tax on installation = 6$. Total = 660+60 = 720. Sufficient. D is the answer. _________________ Press +1 Kudo If my post helps! Director Joined: 19 Oct 2013 Posts: 508 Location: Kuwait GPA: 3.2 WE: Engineering (Real Estate) Re: The total cost for an Air Conditioner consists of the cost of the Air [#permalink] ### Show Tags 11 Oct 2018, 01:01 Bunuel wrote: The total cost for an Air Conditioner consists of the cost of the Air Conditioner and the cost of installation. A fixed sales tax of 10% is charged on both the cost of the Air Conditioner and the installation cost. If the cost of the Air Conditioner, excluding sales tax, was$600, what was the total amount for the Air Conditioner and the installation including sales tax?

(1) The sales tax on the installation cost was $6. (2) The total sales tax was$66.

Let the cost of AC be A
The cost of installation be I

(A+I)*10% + (A+I) =(A+I)*1.1 = cost after tax (1)

from statement 1)
$$\frac{10}{100} *I = 6$$ we can find I

then from that we can substitute back in equation (1) we get a sufficient answer.

From statement 2) $$\frac{10}{100} *(A+I) = 66$$
then from that we can find (A+I) and we can substitute back in equation 1. We get a sufficient Answer.

Director
Joined: 19 Oct 2013
Posts: 508
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
The total cost for an Air Conditioner consists of the cost of the Air  [#permalink]

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11 Oct 2018, 01:03
Afc0892 wrote:
From the question, Price of AC excluding sales tax = 600$. Sales tax = 10% of 600. = 60$.

From statement 1:

Sales tax on installation = 6$= 0.1(Cost of installation) Cost of installation = 60$. << here it should be cost of installation = 60+6
Total = 660+60 = 720$. Sufficient. From statement 2: Total sales tax = 66$. Sales tax on AC = 60$(From question.) Therefore, Sales tax on installation = 6$.

<< here it should be cost of installation = 60+6

Total = 660+60 = 720.
Sufficient.

Afc0892

I think you forgot to multiply 1.1 by 60 in your calculation

You have correctly accounted for the AC inclusive of tax (600*1.1) = 660

However, you have found the cost of installation to be 60 without multiplying it by 1.1%. It should be 66.

Your logic is perfectly fine and the solution is correct. It is just you forgot something.
Director
Joined: 18 Jul 2018
Posts: 679
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
The total cost for an Air Conditioner consists of the cost of the Air  [#permalink]

### Show Tags

11 Oct 2018, 01:06
Salsanousi wrote:
Afc0892 wrote:
From the question, Price of AC excluding sales tax = 600$. Sales tax = 10% of 600. = 60$.

From statement 1:

Sales tax on installation = 6$= 0.1(Cost of installation) Cost of installation = 60$. << here it should be cost of installation = 60+6
Total = 660+60 = 720$. Sufficient. From statement 2: Total sales tax = 66$. Sales tax on AC = 60$(From question.) Therefore, Sales tax on installation = 6$.

<< here it should be cost of installation = 60+6

Total = 660+60 = 720.
Sufficient.

Afc0892

I think you forgot to multiply 1.1 by 60 in your calculation

You have correctly accounted for the AC inclusive of tax (600*1.1) = 660

However, you have found the cost of installation to be 60 without multiplying it by 1.1%. It should be 66.

Your logic is perfectly fine and the solution is correct. It is just you forgot something.

Yes, thank you. Forgot while typing
_________________

Press +1 Kudo If my post helps!

The total cost for an Air Conditioner consists of the cost of the Air   [#permalink] 11 Oct 2018, 01:06
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