Based on the data in the table, answer the five questions that follow: The following table shows the population (in lakhs) of the cities P, Q and R over the seven years from 2014 to 2020. Based on the data in the table, answer the five questions that follow: Year‐wise Population of CitiesYear Population of City (in Lakhs) P Q R 2014 40 20 50 2015 45 30 40 2016 60 50 60 2017 50 55 70 2018 70 60 80 2019 65 70 90 2020 80 75 100
What is the percentage rise in population of City-R from the year 2016 to 2017?
16.67%
Calculating Population Rise Percentage for City R
The question asks for the percentage rise in the population of City R from the year 2016 to the year 2017. To answer this, we need to look at the provided table showing the population of cities P, Q, and R over the years 2014 to 2020.
Understanding the Population Data Table
Here is the data provided in the table:
| Year | Population of City (in Lakhs) | ||
|---|---|---|---|
| P | Q | R | |
| 2014 | 40 | 20 | 50 |
| 2015 | 45 | 30 | 40 |
| 2016 | 60 | 50 | 60 |
| 2017 | 50 | 55 | 70 |
| 2018 | 70 | 60 | 80 |
| 2019 | 65 | 70 | 90 |
| 2020 | 80 | 75 | 100 |
Finding Population Data for City R
We are interested in the population of City R in 2016 and 2017. Looking at the table:
- Population of City R in 2016 = 60 lakhs
- Population of City R in 2017 = 70 lakhs
Calculating Percentage Rise
The formula for calculating the percentage rise (or increase) is:
\(\text{Percentage Rise} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100\)
In this case:
- Old Value (Population in 2016) = 60 lakhs
- New Value (Population in 2017) = 70 lakhs
Now, let's plug these values into the formula:
\(\text{Percentage Rise} = \left( \frac{70 - 60}{60} \right) \times 100\)
\(\text{Percentage Rise} = \left( \frac{10}{60} \right) \times 100\)
\(\text{Percentage Rise} = \left( \frac{1}{6} \right) \times 100\)
\(\text{Percentage Rise} = \frac{100}{6}\)
\(\text{Percentage Rise} = 16.666... \% \)
Rounding the result to two decimal places, we get 16.67%.
Conclusion on City R Population Rise
The percentage rise in the population of City R from 2016 to 2017 is approximately 16.67%.
Revision Table: Key Concepts
| Concept | Description | Formula (if applicable) |
|---|---|---|
| Percentage Rise | Measures the relative increase from an initial value to a final value. | \(\left( \frac{\text{Final Value} - \text{Initial Value}}{\text{Initial Value}} \right) \times 100\%\) |
| Population Data Analysis | Interpreting numerical information about the number of people in a place over time. | Requires careful reading of tables or charts. |
| Base Value | The initial value used as the denominator in percentage change calculations (the population in the earlier year). | Important for accurate percentage calculation. |
Additional Information: Calculating Percentage Change
Percentage change is a fundamental concept used in many fields, including economics, statistics, and demography. It helps us understand the magnitude of a change relative to the starting point. A positive percentage change indicates a rise or increase, while a negative percentage change (often called percentage decrease or fall) indicates a drop.
For example, if we wanted to find the percentage change in City P's population from 2014 (40 lakhs) to 2015 (45 lakhs):
\(\text{Percentage Change} = \left( \frac{45 - 40}{40} \right) \times 100 = \left( \frac{5}{40} \right) \times 100 = \left( \frac{1}{8} \right) \times 100 = 12.5\%\)
This shows a 12.5% rise in City P's population from 2014 to 2015.
Important Questions from Tabulation
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?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?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?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?
