Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If of all the inhabitants, 25% are literate, then what percentage of the females of the town are literate?Options27.537.522.532.5
Question
Of the 1000 inhabitants in a town 60% are males of whom 20% are literate. If of all the inhabitants, 25% are literate, then what percentage of the females of the town are literate?Options27.537.522.532.5
Solution
First, let's break down the information given:
- The total population of the town is 1000.
- 60% of the population are males, which means there are 600 males.
- 20% of these males are literate, which means there are 120 literate males.
- 25% of the total population is literate, which means there are 250 literate people in the town.
Now, to find the number of literate females, we subtract the number of literate males from the total number of literate people. So, 250 (total literate people) - 120 (literate males) = 130 literate females.
Next, to find the total number of females in the town, we subtract the number of males from the total population. So, 1000 (total population) - 600 (males) = 400 females.
Finally, to find the percentage of females that are literate, we divide the number of literate females by the total number of females and multiply by 100. So, (130/400) * 100 = 32.5%.
Therefore, 32.5% of the females in the town are literate.
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