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In vessel A, the ratio of milk and water is 3 : 4 and in vessel B, the ratio of milk and water is 2 : 3. If vessel A and B are mixed in the ratio of 1 : 2 respectively, then what will be the ratio of Milk and water?1. 29 : 412. 43 : 623. 12 : 174. 4 : 5 |
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Answer» Correct Answer - Option 2 : 43 : 62 Given: Vessel A ratio of Milk and water is 3 : 4 Vessel B ratio of Milk and water is 2 : 3 vessel A and B are mixed in the ratio of 1 : 2 respectively. Calculation: Let the ratio of milk and water in vessel A be 3x : 4x So, the total quantity of vessel A is 7x And the ratio of milk and water in vessel B be 2x : 3x So, the total quantity of vessel B is 5x To Mix into the ratio first we need to make quantity equal So, multiply vessel A by 5 and multiply vessel B by 7 ⇒ Vessel A = 15x : 20x ⇒ Vessel B = 14x : 21x Now mix them in the ratio of 1 and 2 The final ratio of milk and water will be ⇒ milk : water = 15x + 28x : 20x + 42x ⇒ milk : water = 43 : 62 ∴ The ratio of milk and water in the final mixture is 43 : 62. |
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