Ratio Calculation: April vs March COVID-19 Recoveries

This question asks us to find the ratio between the total number of patients who recovered from COVID-19 in April and the total number of patients who recovered in March, based on the data provided for four states: Rajasthan, Madhya Pradesh, Uttar Pradesh, and Punjab.

Data Table Analysis

First, let's list the recovery data for March and April from the table:

Total Recoveries Calculation

Next, we need to calculate the total number of recoveries for each month across all four states.

Total Recoveries in March

To find the total recoveries in March, we sum the numbers for March from each state:

Total March Recoveries = Recoveries(Rajasthan) + Recoveries(Madhya Pradesh) + Recoveries(Uttar Pradesh) + Recoveries(Punjab)

Using LaTeX for the calculation: $ \text{Total March Recoveries} = 220 + 120 + 250 + 275 = 865 $

Total Recoveries in April

Similarly, we sum the numbers for April from each state:

Total April Recoveries = Recoveries(Rajasthan) + Recoveries(Madhya Pradesh) + Recoveries(Uttar Pradesh) + Recoveries(Punjab)

Using LaTeX for the calculation: $ \text{Total April Recoveries} = 150 + 190 + 240 + 225 = 805 $

Determining the Ratio

The question asks for the ratio of total recoveries in April to total recoveries in March. This can be written as:

Ratio = Total April Recoveries : Total March Recoveries

Substituting the calculated totals:

Ratio = $ 805 : 865 $

Simplifying the Ratio

To simplify the ratio, we find the greatest common divisor (GCD) for 805 and 865. Both numbers end in 5, so they are divisible by 5.

Divide both parts of the ratio by 5:

$ \frac{805}{5} = 161 $

$ \frac{865}{5} = 173 $

The simplified ratio is $ 161 : 173 $. 161 is $ 7 \times 23 $, and 173 is a prime number, so the ratio cannot be simplified further.

Conclusion

Comparing our calculated ratio with the given options, we find that the ratio $ 161 : 173 $ matches option 4.