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      Question

      In a Village, 50% of the total population are females

      and 70% of the males are literate people. If total number of literate males are 1050 and the ratio of the literate males and literate females is 5:3, respectively then find the percentage of the illiterate people out of the total population in the village.
      A 38% Correct Answer Incorrect Answer
      B 40% Correct Answer Incorrect Answer
      C 42% Correct Answer Incorrect Answer
      D 44% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let, the total population be 100x Number of females = 100x × 0.50 = 50x Number of males = 100x – 50x = 50x Literate male in the village = 50x × 0.70 = 35x Or, 35x = 1050 Or, x = 30 Total population = 3000 Literate females in the village = 1050 × (3/5) = 630 Illiterate people in the village = 3000 – 1050 – 630 = 1320 Percentage of illiterate people = (1320/3000) × 100 = 44%

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