The table below shows the number of persons (in lakhs) in six cities A-F, along with the ratio of males to females, and literates to illiterates in these cities in the year 2020. Based on the data in the table, answer the question: City wise Distribution of PopulationCity Number of Persons (in Lakhs) Ratio Males : Females Literates : Illiterates A 5.0 3 : 2 1 : 4 B 3.6 4 : 6 4 : 1 C 2.8 3 : 4 2 : 5 D 4.5 5 : 4 3 : 2 E 5.0 2 : 3 2 : 3 F 3.0 2 : 1 7 : 3
If the number of persons increases by 10% in City-B and by 12% in City-A in 2021 with respect to 2020, then the ratio of number of persons in City-B to that of City-A in 2021 will be :
99 : 140
To find the ratio of the number of persons in City-B to City-A in 2021, we will follow these steps:
- Determine the population of City-B in 2021 by calculating the 10% increase from its 2020 population.
- The number of persons in City-B in 2020 is 3.6 lakhs.
- Increase (10% of 3.6) = \(\frac{10}{100} \times 3.6 = 0.36\) lakhs.
- Population in 2021 = 3.6 + 0.36 = 3.96 lakhs.
- Determine the population of City-A in 2021 by calculating the 12% increase from its 2020 population.
- The number of persons in City-A in 2020 is 5.0 lakhs.
- Increase (12% of 5.0) = \(\frac{12}{100} \times 5.0 = 0.60\) lakhs.
- Population in 2021 = 5.0 + 0.60 = 5.60 lakhs.
- Find the ratio of the number of persons in City-B to that of City-A in 2021.
- Ratio = \(\frac{3.96}{5.60}\).
- Simplify the ratio:
- Multiply both numerator and denominator by 100 to eliminate decimals: \(\frac{396}{560}\).
- Divide both by their GCD (4): Resulting ratio becomes \(\frac{99}{140}\).
Therefore, the ratio of the number of persons in City-B to City-A in 2021 is 99 : 140.
Similar Questions
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Important Questions from Tabulation
What is the ratio of total number of patients recovered from covid-19 in April to total number of patients recovered from covid-19 in March?
In which state, the number of patients who recovered from covid-19 steadily decreasing?
What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?
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In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?
