Question:
The population of a town is 155,625. For every 1000 males there are 1075 females. If 40% of the males and 24% of the females are literate, find the percentage of literacy in the town.
The population of a town is 155,625. For every 1000 males there are 1075 females. If 40% of the males and 24% of the females are literate, find the percentage of literacy in the town.
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Use ratio parts to split the population, then apply literacy percentages to each subgroup to get the overall rate.
Updated On: Aug 12, 2025
- 33.7
- 32.7
- 31.7
- 30.7
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The Correct Option is C
Solution and Explanation
Let ratio parts M:F = 1000 : 1075 ⇒ total parts = 2075.
Number of males = 155,625 × (1000/2075) = 75,000. Number of females = 155,625 − 75,000 = 80,625.
Literate males = 40% of 75,000 = 30,000. Literate females = 24% of 80,625 = 19,350.
Step 4: Total literates = 30,000 + 19,350 = 49,350. Percentage literacy = (49,350 / 155,625) × 100 ≈ 31.7108% ≈ 31.7%.
Hence the correct answer is (c) 31.7% (approximately).
Number of males = 155,625 × (1000/2075) = 75,000. Number of females = 155,625 − 75,000 = 80,625.
Literate males = 40% of 75,000 = 30,000. Literate females = 24% of 80,625 = 19,350.
Step 4: Total literates = 30,000 + 19,350 = 49,350. Percentage literacy = (49,350 / 155,625) × 100 ≈ 31.7108% ≈ 31.7%.
Hence the correct answer is (c) 31.7% (approximately).
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