Understanding the Population Data and Question

The question asks for the ratio of the total population of City P during the years 2014, 2015, and 2016 combined, to the total population of City R during the years 2018, 2019, and 2020 combined. We need to extract the relevant population data from the provided table and perform the calculations.

Here is the population data from the table:

Calculating Total Population of City P (2014-2016)

First, we need to find the total population of City P for the years 2014, 2015, and 2016. We sum the population values for City P in these years.

• Population of City P in 2014 = 40 lakhs
• Population of City P in 2015 = 45 lakhs
• Population of City P in 2016 = 60 lakhs

Total population of City P (2014-2016) $=$ Population(P, 2014) $+$ Population(P, 2015) $+$ Population(P, 2016)

Total population of City P (2014-2016) $= 40 + 45 + 60 = 145$ lakhs.

So, the total population of City P for the years 2014, 2015, and 2016 is 145 lakhs.

Calculating Total Population of City R (2018-2020)

Next, we need to find the total population of City R for the years 2018, 2019, and 2020. We sum the population values for City R in these years.

• Population of City R in 2018 = 80 lakhs
• Population of City R in 2019 = 90 lakhs
• Population of City R in 2020 = 100 lakhs

Total population of City R (2018-2020) $=$ Population(R, 2018) $+$ Population(R, 2019) $+$ Population(R, 2020)

Total population of City R (2018-2020) $= 80 + 90 + 100 = 270$ lakhs.

So, the total population of City R for the years 2018, 2019, and 2020 is 270 lakhs.

Determining the Ratio of Populations

The question asks for the ratio of the total population of City P (2014-2016) to the total population of City R (2018-2020).

Ratio $=$ (Total population of City P for 2014, 2015, 2016) : (Total population of City R for 2018, 2019, 2020)

Ratio $= 145 : 270$

To simplify the ratio, we find the greatest common divisor (GCD) of 145 and 270. Both numbers end in 0 or 5, so they are divisible by 5.

Divide both parts of the ratio by 5:

• $145 \div 5 = 29$
• $270 \div 5 = 54$

The simplified ratio is $29 : 54$. The numbers 29 and 54 do not have any common factors other than 1, so this is the simplest form of the ratio.

Final Answer: Population Ratio

The ratio of the total population of City P for the years 2014, 2015, and 2016 together to the total population of City R for the years 2018, 2019, and 2020 together is $29 \ratio 54$.

Revision Table: Key Calculations

This table summarizes the key values calculated to find the ratio.

Ratio Calculation: $145 : 270$

Simplified Ratio (divided by 5): $29 : 54$

Additional Information: Understanding Ratios and Data Interpretation

Ratios: A ratio is a way to compare two quantities. It shows how many times one quantity contains another. Ratios can be written with a colon (e.g., A : B), as a fraction (A/B), or with the word 'to' (A to B). When working with ratios in data interpretation problems, it's often necessary to simplify them to their lowest terms by dividing both numbers by their greatest common divisor.

Data Interpretation: Data interpretation involves analyzing and understanding information presented in tables, charts, or graphs to answer specific questions. Key skills include:

• Reading and extracting relevant data accurately.
• Performing arithmetic operations (addition, subtraction, multiplication, division).
• Calculating percentages, averages, and ratios.
• Comparing different data points or trends.

This question required extracting specific population figures for particular cities and years, summing them up, and then expressing the relationship between the sums as a simplified ratio. Attention to detail in reading the table and performing calculations is crucial for accurate data interpretation.