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Cindy has her eye on a sundress but thinks it is too expensi

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Cindy has her eye on a sundress but thinks it is too expensi  [#permalink]

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New post Updated on: 21 Jul 2013, 02:06
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Question Stats:

78% (01:18) correct 22% (01:58) wrong based on 320 sessions

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Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $68 after it went on sale for 15% off, what is the difference between the original price and the final price?

A. $0.00
B. $1.00
C. $3.40
D. $5.00
E. $6.80

Originally posted by espa on 21 Jul 2013, 01:57.
Last edited by Bunuel on 21 Jul 2013, 02:06, edited 1 time in total.
Edited the question and the tags.
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Re: Cindy has her eye on a sundress but thinks it is too expensi  [#permalink]

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New post 21 Jul 2013, 02:02
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Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $68 after it went on sale for 15% off, what is the difference between the original price and the final price?

$0.00
$1.00
$3.40
$5.00
$6.80

\(OriginalPrice*\frac{85}{100}=68\) => \(OP=80\)$

Than the discouts/raises are as follow \(80*\frac{85}{100}*\frac{125}{100}=68*\frac{5}{4}=85\)

Difference=\(85-80=5\)$
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Re: Cindy has her eye on a sundress but thinks it is too expensi  [#permalink]

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New post 21 Jul 2013, 02:05
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espa wrote:
Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $68 after it went on sale for 15% off, what is the difference between the original price and the final price?

$0.00
$1.00
$3.40
$5.00
$6.80


0.85*{Original Price} = $68 --> {Original Price} = $80.

{Final Price} = $68*1.25 = $85.

The difference = $85 - $85 = $5.

Answer: D.

Hope it's clear.
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Re: Cindy has her eye on a sundress but thinks it is too expensi  [#permalink]

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New post 22 Jul 2013, 13:01
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You can use this way if you are uncomfortable multiplying by decimals:

Original Amount:
Using this percent change formula: NA = OA(1+/-(p/100))
Our NA = 68 and our percent change = 15% less than
so, 68 = OA(1-(15/100))
68 = OA(85/100)
OA = 80

Final Amount:
Using this percent change formula: NA = OA (1+/-(p/100))(1+/-(p/100)).............
Our NA is the unknown final price
Plug in your original price for OA
NA = 80(1-(15/100))(1+(25/100))
NA = 80(85/100)(125/100)
NA = 85

We use (1-(15/100)) because our sale price is 15% less than original
We use (1+(25/100)) because our final price is 25% more than our sale price

Subtract
85-80=5
D
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Re: Cindy has her eye on a sundress but thinks it is too expensi  [#permalink]

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New post 29 Oct 2013, 00:35
Let original price = x
Price with 15% disc = 85x/100................. (1)
Increase of 25% on (1) = 85x/100 * 5/4.................... (2)

From the information given, 85x/100 = 68, so x = 80
Placing value of x in (2) = 85
Difference = 85-80 = 5
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Re: Cindy has her eye on a sundress but thinks it is too expensi  [#permalink]

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New post 30 Sep 2018, 13:58
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