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  • Question
  • 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

  • Correct Answer
  • 22 lit 

    Explanation

    Let the capacity of the pot be 'P' litres.
    Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
    After adding milk, quantity of milk in the mixture = 6/11 P.
    6P/11 - 8 = 4/9(P - 8)
    10P = 792 - 352 => P = 44.

    The capacity of the pot is 44 liters.

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

    Alligation or Mixture problems


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    • 1. 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
    • 2. In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is

    • Options
    • A. 1 litre
    • B. 3 litres
    • C. 4 litres
    • D. 5 litres
    • Discuss
    • 3. The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?

    • Options
    • A. 7:3
    • B. 5:3
    • C. 8:5
    • D. 2:7
    • Discuss
    • 4. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

    • Options
    • A. 1:3
    • B. 2:3
    • C. 3:4
    • D. 4:5
    • Discuss
    • 5. A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km /hr. Find the distance travelled on foot?

    • Options
    • A. 32
    • B. 36
    • C. 48
    • D. 44
    • Discuss
    • 6. A sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs.2.60 and each girl Rs.1.80. Find the number of boys and girls?

    • Options
    • A. 15 boys and 35 girls
    • B. 35 boys and 15 girls
    • C. 30 boys and 20 girls
    • D. 20 boys and 30 girls
    • Discuss
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. 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


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