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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? 1). 5 ∶ 32). 6 ∶ 53). 3 ∶ 54). 4 ∶ 3 |
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Answer» 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. |
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