Question
In a Village, 30% of the total population are females
and 40% of the males are literate people. If total number of literate males are 560 and the ratio of the literate males and literate females is 7:5, 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 × 0.30 = 30x Number of males = 100x – 30x = 70x Literate male in the village = 70x × 0.40 = 28x Or, 28x = 560 Or, x = 20 Total population = 2000 Literate females in the village = 560 × (5/7) = 400 Illiterate people in the village = 2000 – 560 – 400 = 1040 Percentage of illiterate people = (1040/2000) × 100 = 52%
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