Question

A vessel of 80ltrs is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel.it is found that the vessel is vacated by 55%. find the initial quantity of milk and water?

Answer 1

Answer:

Initial quantity of milk = 50 L and the initial quantity of water = 30 L

Step-by-step explanation:

Percentage of milk taken out from the vessel = 70%

Percentage of water taken out from the vessel = 30%

Let the initial quantity of milk be x L

Since, The total mixture is 80 L so the initial quantity of water be (80 - x) L

Also, The vessel is vacated by 55%

⇒ 70% of x + 30% of (80 - x) = 55% of 80

⇒ 0.7x + 0.3 × (80 - x) = 0.55 × 80

⇒ 0.7x + 24 - 0.3x = 44

⇒ 0.4x = 44 - 24

⇒ 0.4x = 20

⇒ x = 50

Therefore, Initial quantity of milk = 50 L and the initial quantity of water = 30 L

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