Question : The population of the town is 3,11,250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate persons in the town is?
Option 1: 4,18,00
Option 2: 48,900
Option 3: 56,800
Option 4: 99,600
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Correct Answer: 48,900
Solution :
Total Population = 3,11,250
The ratio between women and men is 43 : 40.
So, the number of women = $\frac{43}{43+40}$ × 311250 = 1,61,250
and the number of men = $\frac{40}{43+40}$ × 311250 = 1,50,000
Also, there are 24% of literate among men and 8% of literate among women.
Total number of literate person in town = (161250 × $\frac{8}{100}$) + (150000 × $\frac{24}{100}$) = 48,900
Hence, the correct answer is 48,900.
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