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In a vessel there is 40 litres mixture of milk and water. There is 15% water in the mixture. The milkman sells 10 litres of mixture to a customer and thereafter adds 12.5 litres of water to the remaining mixture. What is the respective ratio of milk and water in the new mixture?

In a vessel there is 40 litres mixture of milk and water. There is 15% water in the mixture. The milkman sells 10 litres of mixture to a customer and thereafter adds 12.5 litres of water to the remaining mixture. What is the respective ratio of milk and water in the new mixture? Correct Answer 3 : 2

Volume of mixture = 40 L

% of water = 15%

10 L sold

⇒ 30 L of mixture remaining.

⇒ Water in the remaining mixture = (15/100) × 30 = 4.5l

Now, 12.5 L of water added to the mixture

⇒ New volume of mixture = 30 + 12.5 = 42.5 L

⇒ Water volume = 4.5 + 12.5 = 17 L

⇒ Milk volume = 30 – 4.5 = 25.5 L

∴ Required ratio = 25.5 ∶ 17 = 3 ∶ 2

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