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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%? (SSC CGL 2017)
- a)8
- b)9
- c)10
- d)12
Correct answer is option 'C'. Can you explain this answer?
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80 litre mixture of milk and water contains 10% milk. How much milk (i...
Given Information:
- Initial mixture contains 10% milk
- Total volume of initial mixture is 80 litres
Calculations:
- Initial amount of milk in the mixture = 10% of 80 litres = 8 litres
- Initial amount of water in the mixture = 80 - 8 = 72 litres
Let x be the amount of milk to be added to make the water percentage 80%.
- Final volume of the mixture = 80 + x litres
- Final amount of milk in the mixture = 8 + x litres
- Final amount of water in the mixture = 72 litres (as we are not adding any water)
Equation:
- (8 + x) / (80 + x) = 20% (as the milk percentage should be 20% after adding x litres of milk)
Solving the equation:
- (8 + x) / (80 + x) = 20/100
- 8 + x = 16 + 0.2x
- 0.8x = 8
- x = 10
Therefore, 10 litres of milk must be added to make the water percentage in the mixture as 80%. Hence, the correct answer is option 'c) 10'.
- Initial mixture contains 10% milk
- Total volume of initial mixture is 80 litres
Calculations:
- Initial amount of milk in the mixture = 10% of 80 litres = 8 litres
- Initial amount of water in the mixture = 80 - 8 = 72 litres
Let x be the amount of milk to be added to make the water percentage 80%.
- Final volume of the mixture = 80 + x litres
- Final amount of milk in the mixture = 8 + x litres
- Final amount of water in the mixture = 72 litres (as we are not adding any water)
Equation:
- (8 + x) / (80 + x) = 20% (as the milk percentage should be 20% after adding x litres of milk)
Solving the equation:
- (8 + x) / (80 + x) = 20/100
- 8 + x = 16 + 0.2x
- 0.8x = 8
- x = 10
Therefore, 10 litres of milk must be added to make the water percentage in the mixture as 80%. Hence, the correct answer is option 'c) 10'.
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80 litre mixture of milk and water contains 10% milk. How much milk (i...
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