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20 litres of a mixture contains milk and water in the ratio 5 : 3. If 4 litres of this mixture is replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be
  • a)
    2:1
  • b)
    7:3
  • c)
    8:3
  • d)
    4:3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
20 litres of a mixture contains milk and water in the ratio 5 : 3. If ...
Amount of water in mixture 
amount of Milk in mixture 
When 4 litre is drawn out of mixture remaining Mixture = 16l
Water amount 
Milk amount  
After adding 4 litre of milk
Total mixture = 20 l
Milk = 10 + 4 = 14 l
Water = 6 l
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Most Upvoted Answer
20 litres of a mixture contains milk and water in the ratio 5 : 3. If ...
Given information:
- The mixture contains milk and water in the ratio 5:3.
- The total volume of the mixture is 20 liters.

To find:
The ratio of milk to water in the new mixture after replacing 4 liters of the original mixture with 4 liters of milk.

Step-by-step solution:
1. Let's calculate the initial quantities of milk and water in the 20 liters mixture.
- The ratio of milk to water is 5:3, which means that the total number of parts is 5 + 3 = 8.
- Each part represents 20/8 = 2.5 liters.
- The quantity of milk in the mixture is 5 parts * 2.5 liters/part = 12.5 liters.
- The quantity of water in the mixture is 3 parts * 2.5 liters/part = 7.5 liters.

2. Now, let's replace 4 liters of the original mixture with 4 liters of milk.
- The quantity of milk in the new mixture is 12.5 liters - 4 liters + 4 liters = 12.5 liters.
- The quantity of water remains unchanged at 7.5 liters.

3. Finally, let's calculate the new ratio of milk to water in the mixture.
- The ratio of milk to water is now 12.5 liters : 7.5 liters.
- Simplifying this ratio by dividing both quantities by 2.5, we get 5 liters : 3 liters.
- Further simplifying, we find that the ratio of milk to water in the new mixture is 5:3.

Therefore, the correct answer is option (b) 7:3, which represents the ratio of milk to water in the new mixture after replacing 4 liters of the original mixture with 4 liters of milk.
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20 litres of a mixture contains milk and water in the ratio 5 : 3. If 4 litres of this mixture is replaced by 4 litres of milk, the ratio of milk to water in the new mixture would bea)2:1b)7:3c)8:3d)4:3Correct answer is option 'B'. Can you explain this answer?
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