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

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Re: Cindy has her eye on a sundress but thinks it is too expensi [#permalink]
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Kudos
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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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]
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]
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 Manager Joined: 27 Nov 2018 Posts: 57 Own Kudos [?]: 31 [0] Given Kudos: 70 Re: Cindy has her eye on a sundress but thinks it is too expensi [#permalink] 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]
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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]
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 Target Test Prep Representative Joined: 14 Oct 2015 Status:Founder & CEO Affiliations: Target Test Prep Posts: 19150 Own Kudos [?]: 22655 [0] Given Kudos: 286 Location: United States (CA) Re: Cindy has her eye on a sundress but thinks it is too expensi [#permalink] Expert Reply 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.

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