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Question

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

∶ 3

B

54

∶ 4

C

16

∶ 1

D

48

∶ 5

E

27

∶ 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'?

The correct answer is

12000

Understanding the COVID-19 Affected Persons Data

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

Calculating Affected Males and Females per City

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 $m+f$.

  • Number of Males = Total Affected $\times \frac{m}{m+f}$
  • Number of Females = Total Affected $\times \frac{f}{m+f}$

Let's calculate the number of affected males and females for the required cities:

Affected Males in Cities B, C, and E

  • 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.

Affected Females in Cities A, C, and D

  • 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.

Finding the Difference

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.

Revision Table: Summary of Calculations

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) $60 - 48 = 12$

Additional Information on Data Interpretation

Data interpretation questions often require careful reading of the provided information, which might be in tables, charts, or graphs. Key steps include:

  • Understanding the units (e.g., 'in Thousands').
  • Identifying the specific values needed for the calculation.
  • Applying the correct mathematical operations (like ratios, percentages, sums, differences, averages) based on the question asked.
  • Ensuring calculations are accurate.

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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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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