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Question

Consider the following table that embodies details about the percentage distribution of population of five states A-E on the basis of poverty line and gender. In accordance with the data in the table, answer the questions

State-wise Distribution of Population

State

Percentage (%) of Population Below Poverty Line

Proportion of Males (M) and Females (F)

Below Poverty Line

Above Poverty Line

M ∶ F

M ∶ F

A

35

5 ∶ 6

6 ∶ 7

B

25

3 ∶ 5

4 ∶ 5

C

24

1 ∶ 2

2 ∶ 3

D

19

3 ∶ 2

5 ∶ 3

E

15

5 ∶ 3

3 ∶ 2

If the total population of state ‘C’ and state ‘D’ is 5 million and 7 million, respectively, then what is the difference in the population below poverty line in these two states?

The correct answer is

0.13 million

Understanding the Population Data and Poverty Line Analysis

The question asks us to calculate the difference in the population below the poverty line for State 'C' and State 'D', given their total populations and the percentage of their population below the poverty line from the provided table. The table presents state-wise distribution of population based on the poverty line and gender. We need to use the total population data for State C and State D along with the percentage of population below the poverty line for each state.

State Percentage (%) of Population Below Poverty Line Proportion of Males (M) and Females (F) Below Poverty Line Proportion of Males (M) and Females (F) Above Poverty Line
A 35 5 ∶ 6 6 ∶ 7
B 25 3 ∶ 5 4 ∶ 5
C 24 1 ∶ 2 2 ∶ 3
D 19 3 ∶ 2 5 ∶ 3
E 15 5 ∶ 3 3 ∶ 2

Calculating Population Below Poverty Line for Each State

To find the population below the poverty line for a state, we multiply the total population of the state by the percentage of the population that is below the poverty line and divide by 100.

  • For State 'C':

    Total Population of State C = 5 million

    Percentage of Population Below Poverty Line in State C = 24%

    Population Below Poverty Line in State C = $$\text{Total Population of C} \times \frac{\text{Percentage below poverty line}}{100}$$

    Population Below Poverty Line in State C = $$5 \text{ million} \times \frac{24}{100} = 5 \times 0.24 \text{ million}$$

    Population Below Poverty Line in State C = $$1.20 \text{ million}$$

  • For State 'D':

    Total Population of State D = 7 million

    Percentage of Population Below Poverty Line in State D = 19%

    Population Below Poverty Line in State D = $$\text{Total Population of D} \times \frac{\text{Percentage below poverty line}}{100}$$

    Population Below Poverty Line in State D = $$7 \text{ million} \times \frac{19}{100} = 7 \times 0.19 \text{ million}$$

    Population Below Poverty Line in State D = $$1.33 \text{ million}$$

Finding the Difference in Population Below Poverty Line

The question asks for the difference in the population below the poverty line between these two states. We subtract the smaller value from the larger value to find the positive difference.

Difference = |Population Below Poverty Line in State C - Population Below Poverty Line in State D|

Difference = $$|1.20 \text{ million} - 1.33 \text{ million}|$$

Difference = $$|-0.13 \text{ million}|$$

Difference = $$0.13 \text{ million}$$

Therefore, the difference in the population below the poverty line in State C and State D is 0.13 million.

Revision Table: Key Data Points

State Total Population (Million) % Below Poverty Line Population Below Poverty Line (Million)
C 5 24% 1.20
D 7 19% 1.33

Additional Information: Understanding Percentage Calculations

A percentage is a number or ratio expressed as a fraction of 100. When we say 'X percent of Y', it means $$\frac{X}{100} \times Y$$. In this problem, we calculated the population below the poverty line by finding the specified percentage of the total population for each state. This is a common application of percentages in interpreting statistical data like population distributions or economic indicators such as poverty lines. The gender distribution ratios provided in the table were not needed for this specific calculation but are important for other types of analysis, such as finding the number of males or females below the poverty line.

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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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