Question : Of the 1000 inhabitants in a town, 60% are male of whom 20% are literate. If of all the inhabitants, 25% are literate, what percentage of the females in the town are literate?
Option 1: 27.5
Option 2: 32.5
Option 3: 37.5
Option 4: 22.5
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Correct Answer: 32.5
Solution :
Given: The total inhabitants = 1000
60% are male, so the number of males = (1000 × $\frac{60}{100}$) = 600
So, the number of females = (1000 – 600) = 400
Now, 25% of inhabitants are literate = (1000 × $\frac{25}{100}$) = 250
Also, of the 600 males, 20% are literate = (600 × $\frac{20}{100}$) = 120
So, the number of literate females = (250 – 120) = 130
Therefore, the percentage of literate females = ($\frac{130}{400}$ × 100) = 32.5%
Hence, the correct answer is 32.5.
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