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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 average female population of the city during the period 2018-2021?
  • a)
    9725
  • b)
    9275
  • c)
    10,350
  • d)
    11,375
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions: Study the following information carefully and answer the q...
From common explanation, we have
Required average

Hence, Option D 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...
Calculation of Female Population

Given information:
- Ratio of males to females in 2019 = 3:2
- Population of males in 2021 = Population of males in 2019 - 1000
- Population of females in 2021 = Population of females in 2019 - 20%
- Average number of females in 2020 and 2021 = 9000

Step 1: Calculate the population of males and females in 2019
Let's assume the population of males and females in 2019 to be 3x and 2x respectively.

Step 2: Calculate the population of males and females in 2021
Population of males in 2021 = 3x - 1000
Population of females in 2021 = 2x - (20/100) * 2x = 2x - 0.4x = 1.6x

Step 3: Calculate the average number of females in 2020 and 2021
Average number of females in 2020 and 2021 = (Population of females in 2020 + Population of females in 2021)/2 = 9000

Step 4: Calculate the population of females in 2020
Population of females in 2020 = 2 * 9000 - Population of females in 2019 = 18000 - 2x

Step 5: Calculate the population of females in 2018
Given that the population of the city in 2018 was 37,500, which was 50% more than the population in 2019.
So, the population in 2019 = (100/150) * 37,500 = 25,000
Population of females in 2019 = (2/5) * 25,000 = 10,000

Step 6: Calculate the population of males in 2018
Given that the ratio of the number of males in 2018 to that in 2020 was 2:1.
Let's assume the population of males in 2018 to be 2y.

Step 7: Calculate the population of males in 2020
Population of males in 2020 = 2y - (20/100) * 2y = 2y - 0.4y = 1.6y

Step 8: Calculate the population of males in 2018
Population of males in 2018 = 2 * Population of males in 2020 = 2 * (1.6y) = 3.2y

Step 9: Calculate the average female population during 2018-2021
Average female population = (Population of females in 2018 + Population of females in 2019 + Population of females in 2020 + Population of females in 2021)/4
= (10,000 + 2x + 18000 - 2x + 2 * 9000 - 0.4x + 2x - 0.4x)/4
= (10,000 + 18,000 + 18,000)/
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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 average female population of the city during the period 2018-2021?a)9725b)9275c)10,350d)11,375Correct answer is option 'D'. 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 average female population of the city during the period 2018-2021?a)9725b)9275c)10,350d)11,375Correct answer is option 'D'. 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 average female population of the city during the period 2018-2021?a)9725b)9275c)10,350d)11,375Correct answer is option 'D'. 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 average female population of the city during the period 2018-2021?a)9725b)9275c)10,350d)11,375Correct answer is option 'D'. Can you explain this answer?.
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