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Two mixtures of alcohol and water are prepared by mixing 10 litres of alcohol with 6 litres of water and 8 litres of alcohol with 2 litres of water. In what ratio the respective mixtures are mixed such that the final mixture contains alcohol and water in the ratio 20 ∶ 9?

Two mixtures of alcohol and water are prepared by mixing 10 litres of alcohol with 6 litres of water and 8 litres of alcohol with 2 litres of water. In what ratio the respective mixtures are mixed such that the final mixture contains alcohol and water in the ratio 20 ∶ 9? Correct Answer 128 ∶ 75

Calculation:

By Alligation method

⇒ (4/5) – (20/29) :  (20/29) – (5/8) 

⇒ 16/145 : 15/232

⇒ 128 : 75

∴ The required ratio is 128 : 75

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