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The ratio of volumes of 3 containers is 3 ∶ 4 ∶ 5. All the three containers are full of a mixture of milk and water. The ratio of milk and water is 4 ∶ 1, 3 ∶ 1, and 3 ∶ 2 in the three containers respectively. If the liquid of all three containers is poured in the 4th container, then find the ratio of milk and water.1. 3 ∶ 72. 7 ∶ 33. 6 ∶ 54. 7 ∶ 4 |
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Answer» Correct Answer - Option 2 : 7 ∶ 3 Given: Ratio of volume of three containers = 3 ∶ 4 ∶ 5 Ratio of milk and water in container 1 = 4 ∶ 1 Ratio of milk and water in container 2 = 3 ∶ 1 Ratio of milk and water in container 3 = 3 ∶ 2 Calculation: First we have to make the sum of ratios equal Ratio of milk and water in container 1 = 4/1 = (4 × 4)/(1 × 4) = 16/4 Ratio of milk and water in container 2 = 3/1 = (3 × 5)/(1 × 5) = 15/5 Ratio of milk and water in container 3 = 3/2 = (3 × 4)/(2 × 4) = 12/8 As they are mixed in the ratio 3 ∶ 4 ∶ 5 Milk = 16 × 3 + 15 × 4 + 12 × 5 = 168 Water = 3 × 4 + 5 × 4 + 8 × 5 = 72 Ratio of milk to water = 168 ∶ 72 = 7 ∶ 3 ∴ Ratio of milk and water is 7 ∶ 3 |
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