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A certain hospital has 400 patients, who are classified in

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A certain hospital has 400 patients, who are classified in

by AAPL » Fri Aug 09, 2019 7:53 am

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Magoosh

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.

OA C
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Source: — Data Sufficiency |
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by deloitte247 » Sun Aug 11, 2019 5:25 am

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Total patients= 400
Question => what percentage ( % )of the hospital's patients are in IC ?
Statement 1 => 60 % of the patients are male ; the rest are female
Male = 60% of 400 = 240
Female = 40% of 400 = 160
The percentage ( % )of patients in each of these 2 categories were not provided so there is no way we can determine % of patients in IC
Hence, statement 1 is NOT SUFFICIENT
Statement 2 => 25% of the male are in IC and 80% of the female are in RC
Total patients in IC = 25% of male + 20% of female
Total patient in RC = 75% of male + 80% of female
But the exact proportion of male or female was not provided so we cannot determine the percentage ( % ) of the patients in IC
Hence, statement 2 is NOT SUFFICIENT
Combining both statements together ;
Male = 240
Female = 160
25% of male = 25% of 240 = 60 males
20% of female = 20% of 160 = 32 females
Total patients in IC = 60 + 32 = 92 patients
$$Percentage\ (\%)=\frac{92}{400}\cdot\frac{100}{1}=23\%\ of\ the\ hospital's\ patients\ are\ in\ I.C.$$
So, both statements together are SUFFICIENT
Answer = option C
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