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?
0.13 million
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 |
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.
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 = $$1.20 \text{ million}$$
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 = $$1.33 \text{ million}$$
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.
| State | Total Population (Million) | % Below Poverty Line | Population Below Poverty Line (Million) |
|---|---|---|---|
| C | 5 | 24% | 1.20 |
| D | 7 | 19% | 1.33 |
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.
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 |
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 |
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 |
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:
The table given below shows the number of persons participating in a survey from 6 different states.
| States | Persons |
| S1 | 100 |
| S2 | 200 |
| S3 | 400 |
| S4 | 500 |
| S5 | 600 |
| S6 | 800 |
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?