In population of a city the ratio of men and women is 12 : 11. If total population of that city is 4,60,000, then the population of women is:
2,20,000
Calculating Population of Women from Ratio
The question provides the ratio of men to women in a city's population and the total population of the city. We need to find the population of women based on this information.
Given:
- Ratio of men and women = 12 : 11
- Total population of the city = 4,60,000
To find the population of women, we first need to understand what the ratio represents. The ratio 12 : 11 means that for every 12 men, there are 11 women in the city. The total number of parts in the ratio represents the total population.
Let's calculate the total number of ratio parts:
Total ratio parts = Ratio of men + Ratio of women
Total ratio parts = $12 + 11 = 23$
Now, we know that the total population of 4,60,000 corresponds to these 23 parts. We can find the value of one ratio part by dividing the total population by the total number of ratio parts.
Value of one ratio part = $\frac{\text{Total Population}}{\text{Total ratio parts}}$
Value of one ratio part = $\frac{4,60,000}{23}$
Value of one ratio part = $20,000$
So, each part of the ratio represents 20,000 people.
The ratio of women in the population is 11. To find the population of women, we multiply the women's ratio part by the value of one ratio part.
Population of women = Women's ratio part $\times$ Value of one ratio part
Population of women = $11 \times 20,000$
Population of women = $2,20,000$
Therefore, the population of women in the city is 2,20,000.
Important Questions from Simple Ratios
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Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct ?
