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

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The total cost for an Air Conditioner consists of the cost of the Air  [#permalink]

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New post 10 Oct 2018, 03:55
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Question Stats:

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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.

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Re: The total cost for an Air Conditioner consists of the cost of the Air  [#permalink]

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New post 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.
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Re: The total cost for an Air Conditioner consists of the cost of the Air  [#permalink]

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New post 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.

Answer choice D
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The total cost for an Air Conditioner consists of the cost of the Air  [#permalink]

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New post 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.

D is the answer.


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.
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The total cost for an Air Conditioner consists of the cost of the Air  [#permalink]

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New post 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.

D is the answer.


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