80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?
Aptitude
Alligation or Mixture
Choose an option
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A8
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B9
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C10
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D12
Answer
Correct Answer: 10
Explanation
Step 1: Understand the initial setup
- Total mixture = 80 litres
- Milk = 10% of 80 = 8 litres
- Water = 80 - 8 = 72 litres
Step 2: Let x litres of milk be added
- New quantity of milk = 8 + x
- Water remains the same = 72 litres
- New total mixture = 80 + x litres
Step 3: Set up the equation
We want water to be 80% of the total mixture:
Water / (Milk + Water) = 80 / 100 => 72 / (80 + x) = 4 / 5
Step 4: Solve the equation
72 × 5 = 4 × (80 + x) 360 = 320 + 4x 360 - 320 = 4x 40 = 4x x = 10
Answer: 10 litres
You need to add 10 litres of milk to make water 80% of the new mixture.