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  • Question

  • 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

  • Correct Answer
  • 10 lit 

    Explanation

    Number of liters of water in 150 liters of the mixture = 20% of 150 = 20/100 x 150 = 30 liters.
    P liters of water added to the mixture to make water 25% of the new mixture.
    Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
    (30 + P) = 25/100 x (150 + P)
    120 + 4P = 150 + P => P = 10 liters.

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

    Alligation or Mixture problems

    Search Results

    • 1. 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
    • 2. 640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water?

    • Options
    • A. 360 ml
    • B. 320 ml
    • C. 310 ml
    • D. 330 ml
      • Discuss
    • 3. In what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained?

    • Options
    • A. 1:2
    • B. 2:1
    • C. 1:3
    • D. 1:4
      • Discuss
    • 4. Two bottles contains mixture of milk and water. First bottle contains 64% milk and second bottle contains 26% water. In what ratio these two mixtures are mixed so that new mixture contains 68% milk?

    • Options
    • A. 3 : 2
    • B. 2 : 1
    • C. 1 : 2
    • D. 2 : 3
      • Discuss
    • 5. Shiva purchased 280 kg of Rice at the rate of 15.60/kg and mixed it with 120 kg of rice purchased at the rate of 14.40/kg. He wants to earn a profit of Rs. 10.45 per kg by selling it. What should be the selling price of the mix per kg?

    • Options
    • A. Rs. 22.18
    • B. Rs. 25.69
    • C. Rs. 26.94
    • D. Rs. 27.54
      • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
      • Discuss
    • 10. 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

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