A vessel of 120 litres is filled with milk and water.80% of milk and 40% of water is taken out of the vessel. It is found that the vessel i… — Answer & Discussion

A vessel of 120 litres is filled with milk and water.80% of milk and 40% of water is taken out of the vessel. It is found that the vessel is vacated by 65%.What was the ratio of milk to water in the original mixture?

A5 ∶ 3
B6 ∶ 5
C3 ∶ 5
D4 ∶ 3

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Discussion 1

CCommunity11 Jun 2019

Let the volume of milk be = x

Then the volume of water = 120 - x

Percent of vessel empty after drawing = 65%

Thus according to the question, we can write the equation

⇒ 0.8x + 0.4(120 - x) = 0.65 × 120

⇒ 0.8x + 48 - 0.4x = 78

⇒ 0.4x = 78 - 48

⇒ 0.4x = 30

⇒ x = 300/4 = 75 liters

∴ Volume of water = 120 – 75 = 45 liters

∴ Ratio of milk to water =$(\frac{{75}}{{45}} = \frac{5}{3})$

Hence, the ratio of milk to water is 5 : 3.