The following table shows the number of persons (in Thousands) who got affected by 'COVID-19' pandemic in five different cities (A-E) of India and also presents the ratio of affected male to female in them. Based on the data in the table, answer the questions: City-wise Persons Affected by COVID-19 City Number of Affected (in Thousands) Ratio of Affected Male ∶ Female A 64 5 ∶ 3 B 54 5 ∶ 4 C 16 3 ∶ 1 D 48 7 ∶ 5 E 27 2 ∶ 1
What is the difference between total number of males in cities 'B', 'C' and 'E' together and total number of females in Cities 'A', 'C' and 'D' together who are affected by 'COVID-19'?
12000
The question asks us to analyze data related to persons affected by the 'COVID-19' pandemic across five different cities (A, B, C, D, E) in India. The provided table gives the total number of affected persons in thousands for each city and the ratio of affected males to females within those totals.
We need to calculate the total number of affected males in cities 'B', 'C', and 'E' combined and the total number of affected females in cities 'A', 'C', and 'D' combined. Finally, we must find the difference between these two totals.
| City | Number of Affected (in Thousands) | Ratio of Affected Male ∶ Female |
|---|---|---|
| A | 64 | 5 ∶ 3 |
| B | 54 | 5 ∶ 4 |
| C | 16 | 3 ∶ 1 |
| D | 48 | 7 ∶ 5 |
| E | 27 | 2 ∶ 1 |
To find the number of males or females in a city, we use the total number of affected persons and the given male to female ratio. If the ratio is $M:F = m:f$, the total parts in the ratio are $m+f$.
Let's calculate the number of affected males and females for the required cities:
City B: Total Affected = 54 Thousand, Ratio M:F = 5:4. Total parts = 5 + 4 = 9.
Males in B = $54 \times \frac{5}{9} = 6 \times 5 = 30$ Thousand.
City C: Total Affected = 16 Thousand, Ratio M:F = 3:1. Total parts = 3 + 1 = 4.
Males in C = $16 \times \frac{3}{4} = 4 \times 3 = 12$ Thousand.
City E: Total Affected = 27 Thousand, Ratio M:F = 2:1. Total parts = 2 + 1 = 3.
Males in E = $27 \times \frac{2}{3} = 9 \times 2 = 18$ Thousand.
Total number of affected males in cities B, C, and E together = Males (B) + Males (C) + Males (E)
Total Males (B, C, E) = $30 + 12 + 18 = 60$ Thousand.
City A: Total Affected = 64 Thousand, Ratio M:F = 5:3. Total parts = 5 + 3 = 8.
Females in A = $64 \times \frac{3}{8} = 8 \times 3 = 24$ Thousand.
City C: Total Affected = 16 Thousand, Ratio M:F = 3:1. Total parts = 3 + 1 = 4.
Females in C = $16 \times \frac{1}{4} = 4 \times 1 = 4$ Thousand.
City D: Total Affected = 48 Thousand, Ratio M:F = 7:5. Total parts = 7 + 5 = 12.
Females in D = $48 \times \frac{5}{12} = 4 \times 5 = 20$ Thousand.
Total number of affected females in cities A, C, and D together = Females (A) + Females (C) + Females (D)
Total Females (A, C, D) = $24 + 4 + 20 = 48$ Thousand.
The question asks for the difference between the total number of males in cities B, C, E and the total number of females in cities A, C, D.
Difference = Total Males (B, C, E) - Total Females (A, C, D)
Difference = $60$ Thousand - $48$ Thousand = $12$ Thousand.
Since the numbers in the table are in thousands, the difference of 12 thousand is equal to 12,000 persons.
| City | Total Affected (Thousands) | Ratio M:F | Total Parts | Calculated Males (Thousands) | Calculated Females (Thousands) |
|---|---|---|---|---|---|
| A | 64 | 5:3 | 8 | $64 \times 5/8 = 40$ | $64 \times 3/8 = 24$ |
| B | 54 | 5:4 | 9 | $54 \times 5/9 = 30$ | $54 \times 4/9 = 24$ |
| C | 16 | 3:1 | 4 | $16 \times 3/4 = 12$ | $16 \times 1/4 = 4$ |
| D | 48 | 7:5 | 12 | $48 \times 7/12 = 28$ | $48 \times 5/12 = 20$ |
| E | 27 | 2:1 | 3 | $27 \times 2/3 = 18$ | $27 \times 1/3 = 9$ |
| Total Males (B,C,E) | $30 + 12 + 18 = 60$ | ||||
| Total Females (A,C,D) | $24 + 4 + 20 = 48$ | ||||
| Difference (Males B,C,E - Females A,C,D) | $60 - 48 = 12$ |
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In this problem, understanding how to split a total quantity according to a given ratio is crucial for finding the number of affected males and females in each city. The final step is a simple difference calculation based on the aggregated numbers from selected cities.
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