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

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

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New post 30 Jul 2018, 06:04
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A
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C
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E

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86% (00:58) correct 14% (01:31) wrong based on 35 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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New post 30 Jul 2018, 06:14
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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New post 30 Jul 2018, 06:15
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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New post 30 Jul 2018, 06:18
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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New post 30 Jul 2018, 06:20
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, 06:20
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