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  • Question
  • The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?


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

  • Correct Answer
  • 4 : 9 

    Explanation

    Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

    According to given data,

    4x/3x+6 =8/7

    28x=24x+48

    28x?24x=48

    4x = 48

    x = 12

    Amount of juice = 4x = 4×12 = 48 litre.

  • Tags: Bank Exams

    Alligation or Mixture problems


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    • 1. 2/3 of a milk-water mixture was milk. There was 21 lit of the mixture. If 4 lit of water is added to it, the % of milk in the new mixture will be:

    • Options
    • A. 56
    • B. 11
    • C. 44
    • D. 14
    • Discuss
    • 2. In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture?

    • Options
    • A. 38 lit
    • B. 96 lit
    • C. 48 lit
    • D. 52 lit
    • Discuss
    • 3. A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre, then what is the profit percentage for the dealer?

    • Options
    • A. 17.2
    • B. 14.4
    • C. 16.6
    • D. 15.5
    • Discuss
    • 4. A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

    • Options
    • A. 5 lit
    • B. 10 lit
    • C. 15 lit
    • D. 20 lit
    • Discuss
    • 5. How much pepsi at Rs.6 a litre is added to 15 litre of 'dew' at Rs. 10 a litre so that the price of the mixture be Rs.9 a litre?

    • Options
    • A. 5
    • B. 8
    • C. 10
    • D. None of these
    • Discuss
    • 6. A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket?

    • Options
    • A. 21 litres
    • B. 15 litres
    • C. 23 litres
    • D. 18 litres
    • Discuss
    • 7. 8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

    • Options
    • A. 10 ltr
    • B. 20 ltr
    • C. 30 ltr
    • D. 40 ltr
    • Discuss
    • 8. 80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

    • Options
    • A. 8
    • B. 9
    • C. 10
    • D. 12
    • Discuss
    • 9. How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

    • Options
    • A. 10
    • B. 20
    • C. 40
    • D. 80
    • Discuss
    • 10. 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


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