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A clothing boutique bought a particular shirt for c dollars and sold t

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Bunuel
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A clothing boutique bought a particular shirt for c dollars and sold t [#permalink] New post   18 Apr 2017, 04:52
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A clothing boutique bought a particular shirt for c dollars and sold the shirt for p dollars. If either c or p is equal to $100, then the boutique’s profit on the sale was what percentage of its cost?

(1) p/c = 6/5

(2) p − c = 20
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Re: A clothing boutique bought a particular shirt for c dollars and sold t [#permalink] New post   18 Apr 2017, 08:35
Cost Price of the shirt = $ c
Selling Price of the shirt = $ p
Profit = $ p - c
boutique’s profit on the sale was what percentage of its cost = (p-c) *100 /c %

If either c or p is equal to $100,

(1) p/c = 6/5

p = 6c/5

(p-c) *100 /c % => [6c/5 - c]*100/c => [c/5]*100/c = 20%

Hence this statement is sufficient.

(2) p − c = 20
If P is 100, then C is 80
(p-c) *100 /c % => 20 *100/80 = 25%

If C is 100, then P is 120
(p-c) *100 /c % => 20 *100/100 = 20%
As we are getting two different percentage, this statement is not sufficient.

Answer is A
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A clothing boutique bought a particular shirt for c dollars and sold t [#permalink] New post   18 Apr 2017, 08:48
This is the DS question and we need to test whether the statement is sufficient to answer.

1) p/c=6/5.
Let's test if p=100 then p/c=600/500=1.2 => 20% profit, the same if c=100.

Sufficient.

2) If p=100, then c=100-20=80.
If c=100, then p=100+20=120.
100/80≠120/100.

Two possibilities mean insufficient.

Answer A.
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Re: A clothing boutique bought a particular shirt for c dollars and sold t [#permalink] New post   09 Sep 2019, 11:36
Bunuel wrote:
A clothing boutique bought a particular shirt for c dollars and sold the shirt for p dollars. If either c or p is equal to $100, then the boutique’s profit on the sale was what percentage of its cost?

(1) p/c = 6/5

(2) p − c = 20


profit = [p-c][/c]*100
=([p][/c]-1)*100

so we need [p][/c]

A. gives us [p][/c] so sufficient
B. insufficient since we are not sure about the value of C

is this approach correct Bunuel
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Re: A clothing boutique bought a particular shirt for c dollars and sold t [#permalink] New post   27 Aug 2020, 10:59
Given: A clothing boutique bought a particular shirt for c dollars and sold the shirt for p dollars.
Asked: If either c or p is equal to $100, then the boutique’s profit on the sale was what percentage of its cost?

(1) p/c = 6/5
Profit % = (6-5)/5 = 1/5 = 20%
SUFFICIENT

(2) p − c = 20
If c = $100
p = $120
Profit % = 20%
But if p=$100
c = $80
Profit % = 20/80 = 1/4 = 25%
NOT SUFFICIENT

IMO A
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Re: A clothing boutique bought a particular shirt for c dollars and sold t [#permalink] New post   03 Jan 2024, 03:39
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Re: A clothing boutique bought a particular shirt for c dollars and sold t [#permalink]
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