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In 2010, the total population of village A is 20,000 and the ratio of men and women is 3 ∶ 2. If the percentage increase in the population of the village in 2011 is 20% and men population of the village in 2011 is 15000 then find the ratio of female in 2010 and 2011. 1. 8 ∶ 92. 9 ∶ 83. 7 ∶ 10 4. 10 ∶ 7 |
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Answer» Correct Answer - Option 1 : 8 ∶ 9 Given: The total population of village A in 2010 = 20,000 The ratio of men and women in 2010 = 3 ∶ 2 The percentage increase in the population of the village in 2011 = 20% The men population of the village in 2011 = 15000 Calculations: Let the men and women in 2010 be 3x and 2x According to the question ⇒ 3x + 2x = 20,000 ⇒ 5x = 20,000 ⇒ x = 4,000 The women population of the village in 2010 = 8,000 Total population of the village in 2011 = 20,000 × (120/100) = 24,000 Total women population of the village in 2011 = Total population of the village in 2011 – Total men population of the village in 2011 ⇒ 24,000 – 15,000 = 9,000 The ratio of female population in 2010 and 2011 = 8000 ∶ 9000 = 8 ∶ 9 ∴ The ratio of female population in 2010 and 2011 is 8 ∶ 9 |
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