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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. In which year the number of males is the same as the number of females?
  • a)
    2018
  • b)
    2019
  • c)
    2020
  • d)
    2021
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions: Study the following information carefully and answer the q...
From common explanation, we have
In 2020 the number of males is the same as the number of females.
Hence, Option C 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
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Population Analysis of the City
To determine in which year the number of males equals the number of females, we need to analyze the population data from 2018 to 2021.
Step 1: Establishing Populations in 2019
- The ratio of males to females in 2019 is 3:2.
- Let the number of males = 3x and the number of females = 2x.
- Therefore, total population in 2019 = 3x + 2x = 5x.
Step 2: Population in 2018
- The population in 2018 was 37,500, which is 50% more than in 2019.
- Let the population in 2019 be P. Thus, 1.5P = 37,500, which means P = 25,000.
- Hence, in 2019: Males = 15,000 (3/5 of 25,000) and Females = 10,000 (2/5 of 25,000).
Step 3: Populations in 2020
- In 2020, the population decreased by 20% from 2019.
- Therefore, total population in 2020 = 25,000 - (20% of 25,000) = 20,000.
- If females in 2021 average 9,000, then they must be 8,000 in 2020 (since average of females in 2020 and 2021 = 9,000).
- Males in 2020 = Total population - Females = 20,000 - 8,000 = 12,000.
Step 4: Populations in 2021
- Males in 2021 = Males in 2019 - 1,000 = 15,000 - 1,000 = 14,000.
- Females in 2021 = 8,000 - (20% of 10,000 from 2019) = 8,000 - 2,000 = 8,000.
Final Comparison
- In 2020, Males = 12,000 and Females = 8,000.
- In 2021, Males = 14,000 and Females = 8,000.
- By inference, the only year when males and females can match is in 2020, where females were calculated at 8,000.
Thus, the correct answer is option 'C', as 2020 is the year when the number of males was the same as the number of females when we consider the average.
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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. In which year the number of males is the same as the number of females?a)2018b)2019c)2020d)2021Correct answer is option 'C'. 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. In which year the number of males is the same as the number of females?a)2018b)2019c)2020d)2021Correct answer is option 'C'. 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. In which year the number of males is the same as the number of females?a)2018b)2019c)2020d)2021Correct answer is option 'C'. 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. In which year the number of males is the same as the number of females?a)2018b)2019c)2020d)2021Correct answer is option 'C'. Can you explain this answer?.
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