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# Martha's Hair Saloon has recently lowered the prices of haircuts. If

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Math Expert
Joined: 02 Sep 2009
Posts: 58434
Martha's Hair Saloon has recently lowered the prices of haircuts. If  [#permalink]

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25 Sep 2016, 09:42
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Difficulty:

55% (hard)

Question Stats:

56% (01:46) correct 44% (02:03) wrong based on 135 sessions

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Martha's Hair Saloon has recently lowered the prices of haircuts. If the decrease in the price of a haircut is 20% of the new price of a haircut, what is the approximate percent decrease in the price of a haircut at Martha's ?

A. 15%
B. 16.7%
C. 20%
D. 25%
E. 87.5%

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Re: Martha's Hair Saloon has recently lowered the prices of haircuts. If  [#permalink]

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25 Sep 2016, 11:16
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Bunuel wrote:
Martha's Hair Saloon has recently lowered the prices of haircuts. If the decrease in the price of a haircut is 20% of the new price of a haircut, what is the approximate percent decrease in the price of a haircut at Martha's ?

A. 15%
B. 16.7%
C. 20%
D. 25%
E. 87.5%

Let new price be 100
Decrease in Price is 20

So, Old Price is 120 ( 100 + 20 )

Quote:
the approximate percent decrease in the price

=> $$\frac{20}{120}* 100$$ = $$16.7$$%

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Joined: 02 Sep 2016
Posts: 21
Martha's Hair Saloon has recently lowered the prices of haircuts. If  [#permalink]

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26 Sep 2016, 05:13
1
Bunuel wrote:
Martha's Hair Saloon has recently lowered the prices of haircuts. If the decrease in the price of a haircut is 20% of the new price of a haircut, what is the approximate percent decrease in the price of a haircut at Martha's ?

Assume new price to be x.
decrease = 20% of the new price of a haircut = 0.2x
Hence, Old price = 1.2x

%decrease = 0.2x/1.2x = 1/6 = 16.67%
Option B

Hope it helps
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Re: Martha's Hair Saloon has recently lowered the prices of haircuts. If  [#permalink]

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23 Jun 2017, 17:02
Bunuel wrote:
Martha's Hair Saloon has recently lowered the prices of haircuts. If the decrease in the price of a haircut is 20% of the new price of a haircut, what is the approximate percent decrease in the price of a haircut at Martha's ?

A. 15%
B. 16.7%
C. 20%
D. 25%
E. 87.5%

This question can be rather simple if we start our math from the latter part of the question- how exactly?

200(.2) =\$40 - so our price decreases by 40 therefore the original was 240

old-new/old

240-200/240 = roughly 16.7

Thus
"B"
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Posts: 4015
Re: Martha's Hair Saloon has recently lowered the prices of haircuts. If  [#permalink]

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16 Aug 2018, 07:24
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Top Contributor
Bunuel wrote:
Martha's Hair Saloon has recently lowered the prices of haircuts. If the decrease in the price of a haircut is 20% of the new price of a haircut, what is the approximate percent decrease in the price of a haircut at Martha's ?

A. 15%
B. 16.7%
C. 20%
D. 25%
E. 87.5%

Let x = the ORIGINAL price of a haircut
Let k = the PERCENT decrease in the price of a haircut

So, k/100 = the percent decrease when written as a FRACTION
So, (k/100)x = the PRICE DECREASE of the haircut
So, x - (k/100)x = the NEW price of the haircut

The decrease in the price of a haircut is 20% of the new price of a haircut
So, we can write: (k/100)x = 0.2[x - (k/100)x]
Simplify: kx/100 = 0.2[x - kx/100]
Expand right side: kx/100 = 0.2x - 0.2kx/100
Multiply both sides by 100 to get: kx = 20x - 0.2kx
Add 0.2kx to both sides to get: 1.2kx = 20x
Divide both sides by x to get: 1.2k = 20
Divide both sides by 1.2 to get: k = 20/1.2
Solve: k ≈ 16.7

Cheers,
Brent
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Re: Martha's Hair Saloon has recently lowered the prices of haircuts. If  [#permalink]

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26 Sep 2019, 22:36
Bunuel wrote:
Martha's Hair Saloon has recently lowered the prices of haircuts. If the decrease in the price of a haircut is 20% of the new price of a haircut, what is the approximate percent decrease in the price of a haircut at Martha's ?

A. 15%
B. 16.7%
C. 20%
D. 25%
E. 87.5%

This is how i solved.

Let the new price of the haicut be 100.

Thedecrease in price is 20% of the new price ie 20/100* 100 = 20

So original price was 100+20 = 120 .

comin back to the main question what is the approx decrease in the price of haircut =

( Decrease / Original price )* 100 = 20 /120 *100 = 16.7 % ,

ans = b
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Posts: 3074
Re: Martha's Hair Saloon has recently lowered the prices of haircuts. If  [#permalink]

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30 Sep 2019, 06:56

Solution

Given
• Martha's Hair Saloon has recently lowered the prices of haircuts.
• The decrease in the price of a haircut is 20% of the new price of a haircut

To find
• Approximate percent decrease in the price of a haircut at Martha's

Approach and Working out
Let the new price of haircut = x
• Decrease in the older price = 20% of new price = 0.2x
• So, Old price = 1.2x
%age decrease in the price = 0.2x /1.2x *100= 1/6 *100 = 16.7%

Thus, option B is the correct answer.

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Re: Martha's Hair Saloon has recently lowered the prices of haircuts. If   [#permalink] 30 Sep 2019, 06:56
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