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Ratio of milk and water is in a container is 5:3, 10 Liters milk and 7 Liters water is added, now ratio of milk and water is 8:5. Find the initial quantity of milk in the mixture?

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  1. 45
  2. 30
  3. 24
  4. 65
  5. 40

Answer (Detailed Solution Below)

Option 2 : 30
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Detailed Solution

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Calculation

Initial ratio milk:water = 5:3
Let quantity = 8x ⇒ milk = 5x, water = 3x

New milk = 5x + 10  
New water = 3x + 7
New ratio:
5x + 10 / (3x + 7) = 8/5
25x  + 50 = 24x + 56
x = 6
Milk = 5x = 30 Liters

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