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Question

The following table shows population of five villages A-E and percentage distribution of males (M), females (F) and transgenders (T) among them. Based on the data in the table, answer the questions.

Village - wise Distribution of Population

Village

Total Popluation

Distribution (%)

M

F

T

A

12,000

46%

(-)

22%

B

16,000

(-)

33%

27%

C

18,000

32%

36%

(-)

D

24,000

36%

(-)

20%

E

25,000

(-)

30%

25%

Note: In table (-) denotes missing value (%), which is to be computed whenever required. 

Find the difference between male population in Village - E and female population in Village - D.

The correct answer is

690

Understanding Village Population Data

The question provides a table containing the total population for five villages (A, B, C, D, E) and the percentage distribution of males (M), females (F), and transgenders (T) within each village. Some percentage values are missing and need to be calculated based on the fact that the percentages for M, F, and T in any given village must sum up to 100%.

Our task is to find the difference between the male population in Village E and the female population in Village D. To do this, we first need to calculate the required population counts for Village E and Village D.

Calculating Missing Percentages in Villages

For any village, the sum of the percentage distribution of males, females, and transgenders is 100%. We can use this to find the missing values:

  • For Village D: Percentage M (36%) + Percentage F (?) + Percentage T (20%) = 100%
  • For Village E: Percentage M (?) + Percentage F (30%) + Percentage T (25%) = 100%

Calculate Percentage of Females in Village D

In Village D, the percentages for males and transgenders are given as 36% and 20% respectively.

Percentage F in Village D = $100\% - (\text{Percentage M in D} + \text{Percentage T in D})$

Percentage F in Village D = $100\% - (36\% + 20\%)$

Percentage F in Village D = $100\% - 56\%$

Percentage F in Village D = $44\%$

Calculate Percentage of Males in Village E

In Village E, the percentages for females and transgenders are given as 30% and 25% respectively.

Percentage M in Village E = $100\% - (\text{Percentage F in E} + \text{Percentage T in E})$

Percentage M in Village E = $100\% - (30\% + 25\%)$

Percentage M in Village E = $100\% - 55\%$

Percentage M in Village E = $45\%$

Calculating Population Counts

Now that we have the required percentages and the total populations, we can calculate the number of males in Village E and females in Village D.

Calculate Male Population in Village E

Total population in Village E is 25,000. The percentage of males in Village E is 45%.

Male population in Village E = Total Population in E $\times$ $\frac{\text{Percentage M in E}}{100}$

Male population in Village E = $25,000 \times \frac{45}{100}$

Male population in Village E = $250 \times 45$

Male population in Village E = $11,250$

Calculate Female Population in Village D

Total population in Village D is 24,000. The percentage of females in Village D is 44%.

Female population in Village D = Total Population in D $\times$ $\frac{\text{Percentage F in D}}{100}$

Female population in Village D = $24,000 \times \frac{44}{100}$

Female population in Village D = $240 \times 44$

Female population in Village D = $10,560$

Finding the Difference

The question asks for the difference between the male population in Village E and the female population in Village D.

Difference = Male population in Village E - Female population in Village D

Difference = $11,250 - 10,560$

Difference = $690$

Final Answer Summary

We calculated the percentage of females in Village D as 44% and the percentage of males in Village E as 45%. Using these percentages and the total populations, we found that the male population in Village E is 11,250 and the female population in Village D is 10,560. The difference between these two numbers is 690.

The final answer is 690.

Revision Table: Village Population Data Analysis

Village Total Population Distribution (%) M Distribution (%) F Distribution (%) T Calculated Male Pop. Calculated Female Pop.
A 12,000 46% (Calculated 32%) 22% 5,520 3,840
B 16,000 (Calculated 40%) 33% 27% 6,400 5,280
C 18,000 32% 36% (Calculated 32%) 5,760 6,480
D 24,000 36% (Calculated 44%) 20% 8,640 10,560
E 25,000 (Calculated 45%) 30% 25% 11,250 7,500

Additional Information on Population Distribution Calculations

Data interpretation questions often involve calculating values based on percentages from tables or charts. When dealing with population distribution by categories like gender, the percentages for all categories within a group (like a village) must always add up to 100%. This principle is key to finding any missing percentage values.

Once percentages are known, the actual number of individuals in a category is calculated by multiplying the total population by the percentage for that category and dividing by 100. For example, to find the male population in a village:

Male Population = Total Village Population $\times$ $\frac{\text{Percentage of Males}}{100}$

Similarly, for female and transgender populations.

These types of questions test your ability to read data from a table, perform basic percentage calculations, and then use those calculated values to find differences or sums as required by the question.

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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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