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The discounted price of a certain suit is 20 percent less than the ori

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The discounted price of a certain suit is 20 percent less than the ori  [#permalink]

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New post 03 Dec 2019, 01:10
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The discounted price of a certain suit is 20 percent less than the original price of the suit. If the discounted price of the suit plus a sales tax of 5 percent of the discounted price equals $67.20, what was the original price of the suit?

A. $70.50

B. $73.90

C. $76.00

D. $79.80

E. $80.00

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Re: The discounted price of a certain suit is 20 percent less than the ori  [#permalink]

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New post 03 Dec 2019, 01:47
given
DP = .8* OP
and
1.05*DP= 67.2
.8*OP = 67.2/1.05
OP = 64/.8
OP = 80$
IMO E


Bunuel wrote:
The discounted price of a certain suit is 20 percent less than the original price of the suit. If the discounted price of the suit plus a sales tax of 5 percent of the discounted price equals $67.20, what was the original price of the suit?

A. $70.50

B. $73.90

C. $76.00

D. $79.80

E. $80.00
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Joined: 16 Feb 2015
Posts: 355
Location: United States
Re: The discounted price of a certain suit is 20 percent less than the ori  [#permalink]

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New post 03 Dec 2019, 01:49
Bunuel wrote:
The discounted price of a certain suit is 20 percent less than the original price of the suit. If the discounted price of the suit plus a sales tax of 5 percent of the discounted price equals $67.20, what was the original price of the suit?

A. $70.50

B. $73.90

C. $76.00

D. $79.80

E. $80.00


Explanation:
Let Original Price=X
Discounted price=0.8X
Sales Tax= 0.8X * 0.05= 0.04X
Given: 0.8X + 0.04X =67.2
X=80
IMO-E

:please Please give kudos, if you find my explanation good enough :please
GMAT Club Bot
Re: The discounted price of a certain suit is 20 percent less than the ori   [#permalink] 03 Dec 2019, 01:49
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