Question
In a Village, 20% of the total population are females and 80% of the males are literate people. If total number of literate males are 1280 and the ratio of the literate males and literate females is 8:1, respectively then find the percentage of the illiterate people out of the total population in the village.
Solution
Let, the total population be 100x Number of females = 100x × 0.20 = 20x Number of males = 100x – 20x = 80x Literate male in the village = 80x × 0.80 = 64x Or, 64x = 1280 Or, x = 20 Total population = 2000 Literate females in the village = 1280 × (1/8) = 160 Illiterate people in the village = 2000 – 1280 – 160 = 560 Percentage of illiterate people = (560/2000) × 100 = 28%
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