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# A certain hospital has 400 patients, who are classified in one of two

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Math Expert
Joined: 02 Sep 2009
Posts: 51281
A certain hospital has 400 patients, who are classified in one of two  [#permalink]

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30 Jul 2018, 05:04
00:00

Difficulty:

(N/A)

Question Stats:

88% (01:03) correct 12% (01:25) wrong based on 51 sessions

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A certain hospital has 400 patients, who are classified in one of two categories: intensive care (IC) and regular care (RC). What percent of the hospital's patients are in IC?

(1) 60% of the patients are male, and the rest are female

(2) 25% of the male patients are in IC, and 80% of the female patients are in the RC.

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Re: A certain hospital has 400 patients, who are classified in one of two  [#permalink]

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30 Jul 2018, 05:14
Bunuel wrote:
A certain hospital has 400 patients, who are classified in one of two categories: intensive care (IC) and regular care (RC). What percent of the hospital's patients are in IC?

(1) 60% of the patients are male, and the rest are female
Male = 60% = 60/100*400 = 240
Female = 400 - 240 = 160
No information about percentage from each male and female group
Insufficient

(2) 25% of the male patients are in IC, and 80% of the female patients are in the RC.
25% of M
80% of F
No information about male and female breakdown
Insufficient

Combining both:
We have information about male and female breakdown and about percentage from each male and female group
Sufficient

Hence, C.
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A certain hospital has 400 patients, who are classified in one of two  [#permalink]

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30 Jul 2018, 05:15
To find what percent of the hospital's patients are in IC

A certain hospital has 400 patients

Statement 1

60% of the patients are male, and the rest are female

=> $$\frac{60}{100} * 400$$ = 240 male patients and 160 female patients

We dont know anything about number of patients in IC or RC

Statement 1 is not sufficient

Statement 2

25% of the male patients are in IC, and 80% of the female patients are in the RC.

From statement 2 alone, we dont know the number of male patients or female patients

Statement 2 is not sufficient

Combining statements 1 and 2

25% of the 240 male patients are in IC => 60 male patients in IC and remaining 180 male patients are in RC

80% of the 160 female patients are in RC => 128 female patients in RC and remaining 32 female patients are in IC

% of IC patients = $$\frac{60+32}{400}$$ = $$\frac{92}{400}$$

Statements 1 and 2 together are sufficient

Hence option C
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Re: A certain hospital has 400 patients, who are classified in one of two  [#permalink]

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30 Jul 2018, 05:18
workout wrote:
Statements 1 and 2 together are sufficient

Hence option E

workout
C you mean
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Re: A certain hospital has 400 patients, who are classified in one of two  [#permalink]

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30 Jul 2018, 05:20
sudarshan22 wrote:
workout wrote:
Statements 1 and 2 together are sufficient

Hence option E

workout
C you mean

Yes option C, Thank you.
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Re: A certain hospital has 400 patients, who are classified in one of two &nbs [#permalink] 30 Jul 2018, 05:20
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