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A milk vendor mixes water to milk such that he gains 25%. Find the percentage of water in the mixture.
- a)30%
- b)25%
- c)20%
- d)45%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A milk vendor mixes water to milk such that he gains 25%. Find the per...
To gain 25%, the volume has to be increased by 25%.
So, for 1 litre of milk, 0.25 litre of water is added
Total volume = 1.25 litres
% of water = 0.25 / 1.25 × 100 = 20%.
So, for 1 litre of milk, 0.25 litre of water is added
Total volume = 1.25 litres
% of water = 0.25 / 1.25 × 100 = 20%.
Most Upvoted Answer
A milk vendor mixes water to milk such that he gains 25%. Find the per...
To find the percentage of water in the mixture, let's assume that the milk vendor initially has 100 liters of milk.
Gain Percentage:
- The milk vendor gains 25% in the process of mixing water with milk.
- This means that the vendor wants to have 125 liters of the mixture after adding water.
Let's assume the percentage of water in the mixture is 'x'. This means that the percentage of milk in the mixture will be (100 - x).
Calculation:
- The vendor initially has 100 liters of milk.
- After adding water, the total volume of the mixture becomes 125 liters.
- So, the vendor has added 25 liters of water (125 - 100).
- Now, we have the volume of water (25 liters) and the volume of milk (100 - x liters) in the mixture.
Percentage Calculation:
- We need to find the percentage of water in the mixture, so we divide the volume of water by the total volume of the mixture and multiply by 100.
- Percentage of water in the mixture = (Volume of water / Total volume of mixture) * 100
- Percentage of water in the mixture = (25 / 125) * 100
- Percentage of water in the mixture = 20%
Therefore, the percentage of water in the mixture is 20%, which corresponds to option 'C'.
Gain Percentage:
- The milk vendor gains 25% in the process of mixing water with milk.
- This means that the vendor wants to have 125 liters of the mixture after adding water.
Let's assume the percentage of water in the mixture is 'x'. This means that the percentage of milk in the mixture will be (100 - x).
Calculation:
- The vendor initially has 100 liters of milk.
- After adding water, the total volume of the mixture becomes 125 liters.
- So, the vendor has added 25 liters of water (125 - 100).
- Now, we have the volume of water (25 liters) and the volume of milk (100 - x liters) in the mixture.
Percentage Calculation:
- We need to find the percentage of water in the mixture, so we divide the volume of water by the total volume of the mixture and multiply by 100.
- Percentage of water in the mixture = (Volume of water / Total volume of mixture) * 100
- Percentage of water in the mixture = (25 / 125) * 100
- Percentage of water in the mixture = 20%
Therefore, the percentage of water in the mixture is 20%, which corresponds to option 'C'.
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A milk vendor mixes water to milk such that he gains 25%. Find the percentage of water in the mixture.a)30%b)25%c)20%d)45%Correct answer is option 'C'. Can you explain this answer?
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