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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
1
5
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A
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E

Difficulty:

  35% (medium)

Question Stats:

77% (02:22) correct 23% (03:00) wrong based on 264 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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1
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
2
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 18 May 2019, 00:38
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?

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


My Approach:

given --
let x be the original price

.85x = 68
x =80

new price = 68*1.25 = 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 16 Jun 2019, 01:58
Let original price be x

After a discount of 15%
0.85*x=68
x=(68*100)/85 = (68*20)/17= (4*20)=80

After an increase of 25% on $68 price, the price becomes, 1.25*68= 5/4*68= 5*17 = $85
Difference between original price x=$80 and the final price of $85 is $5

Hence, the answer is D
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Re: Cindy has her eye on a sundress but thinks it is too expensi   [#permalink] 16 Jun 2019, 01:58
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