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

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espa
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Cindy has her eye on a sundress but thinks it is too expensi [#permalink] New post   Updated on: 21 Jul 2013, 02:06
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80% (02:26) correct 20% (02:56) wrong based on 649 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
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D

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] 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] 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] 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] New post   29 Oct 2013, 00:35
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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] 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] 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] New post   13 Dec 2019, 23:16
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


For me the learning from this question is:
"I should remember the Table of 17 else it will take more time to solve this problem".

Other important thing is that the concept of % should be clear.
>Here when we say the product is on sale for 15%, this implies the cost of product after discount is 85% of actual cost. => 0.85 x Original cost.
>Next, 25% increase in price is equal to 1.25 x Original cost (in case of above question- $68 on which the increase of 25% was applied)... Hit KUDOS if my concept behind solving this problem helped you understand the question & solution too.
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Re: Cindy has her eye on a sundress but thinks it is too expensi [#permalink] New post   07 Jan 2020, 12:44
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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?

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


This is a question that tries to suck you into doing long and meaningless long-division. We never need to do that on the gmat.

Solving for Original Price

Given: Original Price * 85/100 = 68.

Calculate with fractions rather than decimals. We should know 85/100 = 17/20.

Original Price = \(\frac{20}{17}\) * 68

But before we multiply 68*20, it may be helpful to prime factorize 68 or 20.

68=2*34 = 2*2*17....... aha! We'll be able to cancel out our 17.

\(\frac{2*2*17*20}{17}\) = 2*2*20 = 80

Solving for Final Price

68 * \(\frac{5}{4}\) = \(\frac{2*2*17*5}{4}\) = 17*5 = 85
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Re: Cindy has her eye on a sundress but thinks it is too expensi [#permalink] New post   06 Sep 2020, 21:01
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


first find original price of dress
.85*x = 68
x= $80
now we have ; 80*.85*1.25 ; $85
∆ 85-80 ; $5
OPTION D
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Re: Cindy has her eye on a sundress but thinks it is too expensi [#permalink] New post   08 Nov 2022, 11:14
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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?

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



We can create the equation in which n = the original price of the dress:

0.85n = 68

n = 68/0.85 = 80 dollars

Thus, the final price is 68 x 1.25 = 85 dollars.

So, the difference between the final an original price is 85 - 80 = 5 dollars.

Answer: D
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Re: Cindy has her eye on a sundress but thinks it is too expensi [#permalink]
08 Nov 2022, 11:14
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