Select the correct answerThe population of a town is 311250. 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 isOptions41800568009960048900
Question
Select the correct answerThe population of a town is 311250. 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 isOptions41800568009960048900
Solution
To solve this problem, we first need to find out the number of men and women in the town.
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The ratio of women to men is 43:40, which means for every 43 women, there are 40 men. The total ratio is 43 + 40 = 83.
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To find the number of women, we multiply the total population by the ratio of women to the total ratio. So, the number of women is (43/83) * 311250 = 186250.
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Similarly, to find the number of men, we multiply the total population by the ratio of men to the total ratio. So, the number of men is (40/83) * 311250 = 125000.
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Now, we know that 24% of men and 8% of women are literate. So, the number of literate men is 0.24 * 125000 = 30000 and the number of literate women is 0.08 * 186250 = 14900.
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Adding these two numbers together, we find that the total number of literate people in the town is 30000 + 14900 = 44900.
So, the correct answer is 44900.
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