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Populations of two villages X and Y are in the ratio of 34 ∶ 43 respectively. If the population of village Y increases by 125000 and the population of village X remains unchanged the respective ratio of their populations becomes 17 ∶ 24. What is the population of village Y?

Populations of two villages X and Y are in the ratio of 34 ∶ 43 respectively. If the population of village Y increases by 125000 and the population of village X remains unchanged the respective ratio of their populations becomes 17 ∶ 24. What is the population of village Y? Correct Answer None of these

Given,

Ratio of Populations of villages X and Y = X ∶ Y = 34 ∶ 43

Ratio of Populations of villages X and Y if the population of village Y increase by 125000 = X ∶ (Y + 125000) = 17 ∶ 24

X ∶ Y = 34 ∶ 43

⇒ X/Y = 34/43

⇒ Y = 43X/34

Now,

X ∶ (Y + 125000) = 17 ∶ 24

⇒ X/ (Y + 125000) = 17/24

⇒ X/ (43X/34 + 125000) = 17/24

⇒ 24X = 43X/2 + 2125000

⇒ X = 850000

The population of village Y = 43 × 850000/34 = 1075000

∴ The population of village Y = 1075000

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