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The ratio between male and female in a city is 3: 7. The children percentage among the males and females of the city is 25 and 30 percent respectively. If the number of adult males in the city is 18000, then find the population of the town?
- a)70000
- b)80000
- c)85000
- d)95000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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The ratio between male and female in a city is 3: 7. The children perc...
Answer – 2.80000 Explanation : Males and females are 3x and 7x respectively (3x)*75/100 = 18000. X = 8000 so total population = 10*8000 = 80000
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The ratio between male and female in a city is 3: 7. The children perc...
Given data:
- Ratio of male to female population in a city = 3:7
- Percentage of children among males = 25%
- Percentage of children among females = 30%
- Number of adult males = 18000
To find:
- Total population of the town
Solution:
Let us assume that the total population of the town is x.
We know that the ratio of male to female population is 3:7. Therefore, the number of males in the town = (3/10) x and the number of females in the town = (7/10) x.
We also know that the percentage of children among males is 25%. Therefore, the number of male children in the town = (25/100) × (3/10) x = (3/40) x.
Similarly, the number of female children in the town = (30/100) × (7/10) x = (21/100) x.
Now, we can find the number of adult females in the town as follows:
- Number of adult males in the town = 18000
- Total number of males in the town = (3/10) x
- Number of adult males in the town = Total number of males in the town - Number of male children in the town
=> 18000 = (3/10) x - (3/40) x
=> (9/40) x = 18000
=> x = (40/9) × 18000
=> x = 80000
Therefore, the total population of the town is 80000.
Hence, the correct option is (b) 80000.
- Ratio of male to female population in a city = 3:7
- Percentage of children among males = 25%
- Percentage of children among females = 30%
- Number of adult males = 18000
To find:
- Total population of the town
Solution:
Let us assume that the total population of the town is x.
We know that the ratio of male to female population is 3:7. Therefore, the number of males in the town = (3/10) x and the number of females in the town = (7/10) x.
We also know that the percentage of children among males is 25%. Therefore, the number of male children in the town = (25/100) × (3/10) x = (3/40) x.
Similarly, the number of female children in the town = (30/100) × (7/10) x = (21/100) x.
Now, we can find the number of adult females in the town as follows:
- Number of adult males in the town = 18000
- Total number of males in the town = (3/10) x
- Number of adult males in the town = Total number of males in the town - Number of male children in the town
=> 18000 = (3/10) x - (3/40) x
=> (9/40) x = 18000
=> x = (40/9) × 18000
=> x = 80000
Therefore, the total population of the town is 80000.
Hence, the correct option is (b) 80000.
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