In a city, 40.1% of the adults are illiterate while 85.1% of the children are literate. If the ratio of the adults to that of the children is 2 ∶ 3, then find approximately what percent of the population is literate?
40.1% adults are illiterate ⇒ 59.9% are literate.
85.1% of children are literate.
Adults : Children = 2 : 3. Assume total = 5 parts → Adults = 2, Children = 3.
Adults literate = 59.9% of 2 = 1.198. Children literate = 85.1% of 3 = 2.553. Total literates = 1.198 + 2.553 = 3.751.
Total population = 5. Literacy % = (3.751 ÷ 5) × 100 ≈ 75%.
Explanation: By weighing the literacy percentages according to the adult-to-child ratio, the combined literacy comes out close to 75%.
Final Answer: 75%
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