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  • Question
  • A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ?


  • Options
  • A. 5:3
  • B. 1:4
  • C. 4:1
  • D. 9:1

  • Correct Answer
  • 9:1 

    Explanation

    Milk = 3/5 x 20 = 12 liters, water = 8 liters

     

    If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.

     

    Remaining milk = 12 - 6 = 6 liters

    Remaining water = 8 - 4 = 4 liters

     

    10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.

     

    The ratio of milk and water in the new mixture = 16:4 = 4:1

     

    If the process is repeated one more time and 10 liters of the mixture are removed,
    then amount of milk removed = 4/5 x 10 = 8 liters.

     

    Amount of water removed = 2 liters.

     

    Remaining milk = (16 - 8) = 8 liters.

    Remaining water = (4 -2) = 2 liters.

     

    Now 10 lts milk is added => total milk = 18 lts

     

    The required ratio of milk and water in the final mixture obtained

     

    = (8 + 10):2 = 18:2 = 9:1.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

    Alligation or Mixture problems


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    • 1. From a container of wine, a thief has stolen 15 liters of wine and replaced it with same quantity of water.He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The initial amount of wine in the container was:

    • Options
    • A. 75 liters
    • B. 100 liters
    • C. 150 liters
    • D. 120 liters
    • Discuss
    • 2. Ratio of water and milk in a container is 2 : 3. If 40 liter mixture removed from the container and same quantity of milk is added to it then the ratio of water to milk becomes 1 : 4. Find the initial quantity of mixture ?

    • Options
    • A. 75 lit
    • B. 80 lit
    • C. 85 lit
    • D. 90 lit
    • Discuss
    • 3. In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 liters of pure milk , the percentage of milk in the mixture become 76%. The quantity of mixture is:

    • Options
    • A. 65 liters
    • B. 91 liters
    • C. 38 liters
    • D. None of these
    • Discuss
    • 4. In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?

    • Options
    • A. 11 lit
    • B. 22 lit
    • C. 33 lit
    • D. 44 lit
    • Discuss
    • 5. From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

    • Options
    • A. 15
    • B. 16
    • C. 25
    • D. 31
    • Discuss
    • 6. From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

    • Options
    • A. 75 litres
    • B. 100 litres
    • C. 150 litres
    • D. 120 litres
    • Discuss
    • 7. A tin a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the tin? What quantity does the tin hold?

    • Options
    • A. 58 l
    • B. 65 l
    • C. 50 l
    • D. 62 l
    • Discuss
    • 8. In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm)

    • Options
    • A. 80%
    • B. 70%
    • C. 75%
    • D. 62%
    • Discuss
    • 9. In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?

    • Options
    • A. 24 lit
    • B. 16 lit
    • C. 32 lit
    • D. 8 lit
    • Discuss
    • 10. A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was filled with the sugar solution. The initial amount of honey in the jar was:

    • Options
    • A. 1.25 kg
    • B. 1 kg
    • C. 1.5 kg
    • D. None of these
    • Discuss


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