How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?
Aptitude
Alligation or Mixture
Choose an option
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A10
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B20
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C40
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D80
Answer
Correct Answer: 80
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 water be added
- Milk remains the same = 8 litres
- Water becomes = 72 + x litres
- New total solution = 80 + x litres
Step 3: Set up the equation
We want milk to be 5% of the new solution:
Milk / (Milk + Water) = 5 / 100 => 8 / (80 + x) = 1 / 20
Step 4: Solve the equation
8 × 20 = 80 + x 160 = 80 + x x = 160 - 80 x = 80
Answer: 80 litres
You need to add 80 litres of water to make the solution 5% milk.