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How many shirts does Phil own? (1) 12 of Phil's shirts are dress shirt

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Posts: 50010
How many shirts does Phil own? (1) 12 of Phil's shirts are dress shirt  [#permalink]

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New post 30 Jul 2018, 05:56
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

96% (00:27) correct 4% (00:27) wrong based on 50 sessions

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How many shirts does Phil own? (1) 12 of Phil's shirts are dress shirt  [#permalink]

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New post 30 Jul 2018, 06:06
To find how many shirts does Phil own

Statement 1

12 of Phil's shirts are dress shirts.

We don't know anything about how many non-dress shirts phil owns ?

Statement 1 is not sufficient

Statement 2

85 percent of Phil's shirts are not dress shirts.

=> 15 percent of Phil's shirts are dress shirts.

=> Phil might have 15 dress shirts and 85 non-dress shirts => 100 total shirts

or

=> Phil might have 30 dress shirts and 170 non-dress shirts => 200 total shirts

Still we can't figure out the exact number of shirts phil owns.

Statement 2 is not sufficient

Combining statements 1 and 2

From statement 1, phil owns 12 dress shirts and from statement 2, 15% of phil's shirts are dress shirts

=> \(\frac{15}{100} * shirts\) = 12

=> shirts = \(12 * \frac{100}{15}\) = 80

Statements 1 and 2 together are sufficient

Hence option C
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Re: How many shirts does Phil own? (1) 12 of Phil's shirts are dress shirt  [#permalink]

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New post 30 Jul 2018, 06:27
Let total number of shirts be "x". Need to find unique value of x.

Statement 1 is not sufficient as it gives only number of shirts that are "dress shirts" .Nothing is mentioned about non-dress shirts.

Statement 2 gives the percentage of shirt that are non-dress shirt. This is also insufficient .

Combining both 1 and 2

Let total number of shirts be "x" , out of which 85 percent are non dress shirt. So, 15 percent will be dress shirt.

.15*x=12

x=80

Statement 1 and 2 together are suffcient.

(C)
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Re: How many shirts does Phil own? (1) 12 of Phil's shirts are dress shirt  [#permalink]

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New post 30 Jul 2018, 06:29
Bunuel wrote:
How many shirts does Phil own?


(1) 12 of Phil's shirts are dress shirts.
D = 12
No information about not dress shirts
Insufficient

(2) 85 percent of Phil's shirts are not dress shirts.
Not dress shirts = 85%
Dress shirts = 15%
Neither of the value is given
Insufficient

Combining both :
15% of Shirts = 12
15/100*Shirts = 12
Solvable
Sufficient

Hence, C.
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Re: How many shirts does Phil own? (1) 12 of Phil's shirts are dress shirt  [#permalink]

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New post 03 Aug 2018, 13:18
Lets say:

D = Dress shirts
N = Not dress shirts
S = Number of shirts Phil owns

I always start with statement 2

Statement 2:
\(D + N = S\)
\(\frac{85}{100} * S = N\) two equations with three variables. Not sufficient.

Statement 1:
\(D = 12\) Clearly insufficient

1) & 2)
\(D + N = S\)
\(\frac{85}{100} * S = N\)
\(D = 12\)

Three equations with three variables. Sufficient.

Option C.
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How many shirts does Phil own? (1) 12 of Phil's shirts are dress shirt  [#permalink]

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New post 05 Aug 2018, 19:59
Bunuel wrote:
How many shirts does Phil own?

(1) 12 of Phil's shirts are dress shirts.

(2) 85 percent of Phil's shirts are not dress shirts.


A quick 20 second solution without doing math.

(1) No info on non dress shirts. Not Sufficient.

(2) No info on quantity. Not Sufficient.

(1) + (2) 12 are dress shirts and 85% are not dress shirts. So 12 = 15%. No Need to do the math. This is is sufficient.

Answer: C

If you wanted to do the math... 12 * \(\frac{100}{15}\) = 4 * \(\frac{100}{5}\) = \(\frac{400}{5}\) = 80
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