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

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

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New post 25 Sep 2016, 08:42
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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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New post 25 Sep 2016, 10:16
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 ?

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


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

Hence answer will be (B)

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

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New post 26 Sep 2016, 04:13
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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New post 23 Jun 2017, 16:02
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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Re: Martha's Hair Saloon has recently lowered the prices of haircuts. If  [#permalink]

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New post 16 Aug 2018, 06:24
1
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

Answer: B

Cheers,
Brent
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Re: Martha's Hair Saloon has recently lowered the prices of haircuts. If &nbs [#permalink] 16 Aug 2018, 06:24
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