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With the spread of Covid-19 in 2020, it was mandated by Public Health Authorities that each patient admitted in the hospital has to undergo Covid-19 test. In the context of this information, study the table a under and answer the given questions.
Table 1: Number of patients admitted and found COVID-1 9 positive in a district hospital in 2021
In April 2021, if the respective ratio of the number of admitted patients to the number of patients found Covid-19 positive was 5:4: then the number of female Covid-19 positive patients constitute what percent of the number of admitted patients in April 2021?
Let the number of admitted patients in April 2021 be $$5x$$
andĀ the number of patients found Covid-19 positive was beĀ $$4x$$.
From the table, in April 2021 the ratio of the number of covid positive maleĀ patients toĀ covid positive female patientsĀ isĀ
given as 5:3.
The number ofĀ covid positive female patients in April 2021 =Ā $$\frac{3}{3+5}\times\ $$ total covid positive patients
=Ā $$\frac{3}{3+5}\times\ 4x$$ =Ā $$\frac{3}{8}\times\ 4x\ =\ \frac{3x}{2}$$.
Hence, the percentage ofĀ the number of covid positive female patients in theĀ number of admitted patients =
=Ā $$\ \frac{3x}{2\ \times\ 5x}\times\ 100$$ =Ā $$\ 30$$
Option (A) is correct.
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