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In a country 55% population is female.80% of the male population is literate.How much of females are literate if total literacy is 58%?45%55%40%22%

Question

In a country 55% population is female.80% of the male population is literate.How much of females are literate if total literacy is 58%?45%55%40%22%

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Solution 1

Let's break down the problem step by step:

  1. First, let's denote the total population as 100%. According to the problem, 55% of the population is female, which means 45% of the population is male.

  2. The problem states that 80% of the male population is literate. To find the literate male population, we multiply the total male population by the literacy rate: 45% * 80% = 36%.

  3. The total literacy rate is given as 58%. This includes both literate males and females. We already know that the literate male population is 36%, so the literate female population must make up the difference: 58% - 36% = 22%.

  4. Therefore, 22% of the total population is made up of literate females. However, we want to find the percentage of females that are literate, not the percentage of the total population. To do this, we divide the literate female population by the total female population: 22% / 55% = 40%.

So, 40% of the female population is literate.

This problem has been solved

Solution 2

Let's break down the problem step by step:

  1. Let's assume the total population of the country is 100 (for simplicity). According to the problem, 55% of the population is female. Therefore, the male population is 45%.

  2. The problem states that 80% of the male population is literate. So, the literate male population is 80% of 45, which is 36.

  3. The total literacy rate in the country is 58%. So, out of the total population of 100, 58 are literate.

  4. Since we know that 36 of these literate individuals are male, we can subtract this from the total literate population to find the literate female population. So, 58 (total literate) - 36 (literate males) = 22.

  5. Therefore, out of the total female population of 55, 22 are literate. To find the percentage of literate females, we divide the literate female population by the total female population and multiply by 100. So, (22/55)*100 = 40%.

So, 40% of the female population is literate.

This problem has been solved

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