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  • Question
  • From container A containing 54 liter of mixture of milk and water in ratio of 8 : 1 , 18 liter of the mixture is taken out and poured into container B in which ratio of milk to water is 3 : 1. If difference between total milk and total water in container B is 30 liter then find the quantity of initial mixture in container B.


  • Options
  • A. 30 Liter
  • B. 28 Liter
  • C. 32 Liter
  • D. 36 Liter

  • Correct Answer
  • 32 Liter  

    Explanation

    Let initially milk and water in container B is 3x liter and x liter respectively

    Now, 3x + (8/9) × 18 ? x ? (1/9) × 18 = 30

    3x + 16 ? x ? 2 = 30

    x = 8

    Initial quantity is container B = 8 (3 + 1) = 32 Liter.

  • Tags: AIEEE, Bank Exams, CAT

    Alligation or Mixture problems


    Search Results


    • 1. Price of 1 kg of sugar is increased by 30% and the increase is of Rs 48. What is the new price (in Rs) of the sugar per kg?

    • Options
    • A. 178
    • B. 160
    • C. 208
    • D. 216
    • Discuss
    • 2. In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be

    • Options
    • A. 2:1
    • B. 1:2
    • C. 4:5
    • D. 5:4
    • Discuss
    • 3. A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?

    • Options
    • A. 25
    • B. 20
    • C. 30
    • D. 15
    • Discuss
    • 4. 20 kg of a mixture of wheat and husk contains 5% husk. How many kg more of husk must be added to make the husk content 20% in the new mixture?

    • Options
    • A. 2.75
    • B. 3.75
    • C. 4.75
    • D. 5.75
    • Discuss
    • 5. Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

    • Options
    • A. 49.6
    • B. 52.3
    • C. 51.2
    • D. 50.7
    • Discuss
    • 6. In a mixture of 60 litres, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?

    • Options
    • A. 42 Litres
    • B. 56 Litres
    • C. 60 Litres
    • D. 77 Litres
    • Discuss
    • 7. The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant?

    • Options
    • A. 30
    • B. 35
    • C. 50
    • D. 55
    • Discuss
    • 8. In a triangle XYZ , which of the following conditions is true

    • Options
    • A. XY YZ > ZX
    • B. XY + YZ < ZX
    • C. XY YZ < XZ
    • D. XY + ZX < YZ
    • Discuss
    • 9. In what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?

    • Options
    • A. 1 : 3
    • B. 3 : 7
    • C. 13 : 7
    • D. 9 : 4
    • Discuss
    • 10. In what ratio must a mixture of 20% milk strength be mixed with that of 60% milk strength so as to get a new mixture of 25% milk strength?

    • Options
    • A. 7 : 1
    • B. 4 : 1
    • C. 5 : 2
    • D. 9 : 2
    • Discuss


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