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In 2019, the ratio of the number of males to females in a city was 3 : 2. The population of males in 2021 was 1000 less than that in 2019. The population of females decreased by 20% from 2019 to 2021. The average number of females in 2020 and 2021 was 9000. The population of the city in 2018 was 37,500 which was 50% more than the population in 2019. The ratio of the number of males in 2018 to that in 2020 was 2 : 1. In 2020, the population of the city decreased by 20% over the previous year.
Q. What is the respective ratio of the female population in 2020 to the male population in 2021?
  • a)
    5 : 7
  • b)
    5 : 6
  • c)
    5 : 8
  • d)
    5 : 9
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions: Study the following information carefully and answer the q...
From common explanation, we have
Reqd. ratio = 10,000 : 14,000 = 5 : 7
Hence, Option A is correct.
Common explanation:
The population of the city in 2018 was 37,500 which was 50% more than the population in 2019. 
Population in 2019

In 2019, the ratio of the number of males to females in a city was 3 : 2. 
The number of males in 2019

The number of females in 2019

The population of males in 2021 was 1000 less than that in 2019.
Males in 2021 = 15,000 – 1,000 = 14,000
The population of females decreased by 20% from 2019 to 2021.
Females in 2021

The average number of females in 2020 and 2021 was 9000.
Females in 2020 = 9,000 × 2 – 8,000 = 10,000
In 2020, the population of the city decreased by 20% over the previous year.
Population in 2020

The ratio of the number of males in 2018 to that in 2020 was 2 : 1. 
Males in 2018 

Females in 2018 = 37,500 – 20,000 = 17,500
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Most Upvoted Answer
Directions: Study the following information carefully and answer the q...
Given Information:
- Ratio of males to females in 2019: 3 : 2
- Population of males in 2021 is 1000 less than in 2019
- Population of females decreased by 20% from 2019 to 2021
- Average number of females in 2020 and 2021 is 9000
- Population of the city in 2018 was 37,500, which was 50% more than in 2019
- Ratio of males in 2018 to 2020 is 2 : 1
- Population of the city decreased by 20% in 2020 compared to the previous year

Solution:

Step 1: Find the population in 2019
Let the population in 2019 be 5x (considering the ratio of males to females as 3 : 2)
Therefore, the population of males in 2019 = 3x
And the population of females in 2019 = 2x

Step 2: Find the population in 2021
Population of males in 2021 = Population of males in 2019 - 1000
= 3x - 1000
Population of females in 2021 = Population of females in 2019 - (20% of Population of females in 2019)
= 2x - (0.2 * 2x)
= 2x - 0.4x
= 1.6x

Step 3: Find the population in 2020
Since the average number of females in 2020 and 2021 is 9000, we can assume the population of females in 2020 as 9000.
Therefore, the population of females in 2020 = 9000

Step 4: Find the population in 2018
Given that the population in 2018 was 37,500, which was 50% more than in 2019.
Therefore, the population in 2019 = 37,500 / 1.5
= 25,000

Step 5: Find the population of males in 2018
Since the ratio of males in 2018 to 2020 is 2 : 1, we can assume the population of males in 2018 as 2y.
Therefore, the population of males in 2018 = 2y

Step 6: Find the population in 2020
Population of the city in 2020 = Population of the city in 2019 - (20% of Population of the city in 2019)
= 25,000 - (0.2 * 25,000)
= 25,000 - 5,000
= 20,000

Step 7: Find the respective ratio of female population in 2020 to male population in 2021
Population of males in 2021 = 3x - 1000
Population of females in 2020 = 9000
Therefore, the respective ratio of female population in 2020 to male population in 2021 = 9000 : (3x - 1000)

Step
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Directions: Study the following information carefully and answer the questions given beside.In 2019, the ratio of the number of males to females in a city was 3 : 2. The population of males in 2021 was 1000 less than that in 2019. The population of females decreased by 20% from 2019 to 2021. The average number of females in 2020 and 2021 was 9000. The population of the city in 2018 was 37,500 which was 50% more than the population in 2019. The ratio of the number of males in 2018 to that in 2020 was 2 : 1. In 2020, the population of the city decreased by 20% over the previous year.Q. What is the respective ratio of the female population in 2020 to the male population in 2021?a)5 : 7b)5 : 6c)5 : 8d)5 : 9Correct answer is option 'A'. Can you explain this answer?
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Directions: Study the following information carefully and answer the questions given beside.In 2019, the ratio of the number of males to females in a city was 3 : 2. The population of males in 2021 was 1000 less than that in 2019. The population of females decreased by 20% from 2019 to 2021. The average number of females in 2020 and 2021 was 9000. The population of the city in 2018 was 37,500 which was 50% more than the population in 2019. The ratio of the number of males in 2018 to that in 2020 was 2 : 1. In 2020, the population of the city decreased by 20% over the previous year.Q. What is the respective ratio of the female population in 2020 to the male population in 2021?a)5 : 7b)5 : 6c)5 : 8d)5 : 9Correct answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Study the following information carefully and answer the questions given beside.In 2019, the ratio of the number of males to females in a city was 3 : 2. The population of males in 2021 was 1000 less than that in 2019. The population of females decreased by 20% from 2019 to 2021. The average number of females in 2020 and 2021 was 9000. The population of the city in 2018 was 37,500 which was 50% more than the population in 2019. The ratio of the number of males in 2018 to that in 2020 was 2 : 1. In 2020, the population of the city decreased by 20% over the previous year.Q. What is the respective ratio of the female population in 2020 to the male population in 2021?a)5 : 7b)5 : 6c)5 : 8d)5 : 9Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the following information carefully and answer the questions given beside.In 2019, the ratio of the number of males to females in a city was 3 : 2. The population of males in 2021 was 1000 less than that in 2019. The population of females decreased by 20% from 2019 to 2021. The average number of females in 2020 and 2021 was 9000. The population of the city in 2018 was 37,500 which was 50% more than the population in 2019. The ratio of the number of males in 2018 to that in 2020 was 2 : 1. In 2020, the population of the city decreased by 20% over the previous year.Q. What is the respective ratio of the female population in 2020 to the male population in 2021?a)5 : 7b)5 : 6c)5 : 8d)5 : 9Correct answer is option 'A'. Can you explain this answer?.
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