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

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Math Expert
Joined: 02 Sep 2009
Posts: 61385
The discounted price of a certain suit is 20 percent less than the ori  [#permalink]

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03 Dec 2019, 01:10
00:00

Difficulty:

35% (medium)

Question Stats:

79% (02:30) correct 21% (02:50) wrong based on 28 sessions

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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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Joined: 18 Aug 2017
Posts: 5888
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The discounted price of a certain suit is 20 percent less than the ori  [#permalink]

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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
Senior Manager
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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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 give kudos, if you find my explanation good enough
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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