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  • Question
  • 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

  • Correct Answer
  • 120 litres 

    Explanation

    w i n e ( l e f t ) w i n e ( a d d e d )   =   343 169

     

    It means  w i n e ( l e f t ) w i n e ( i n i t i a l   a m o u n t )   =   343 512     (since 343 + 169 = 512)

      

    Thus,   343 x   =   512 x 1   -   15 k 3

     

      343 512   =   7 8 3   =   1   -   15 k 3

     

      1 - 15 k = 7 8 = 1 - 1 8

      

    Thus the initial amount of wine was 120 liters.

  • 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. 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
    • 5. 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
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is

    • Options
    • A. 1 : 10
    • B. 10 : 1
    • C. 9 : 11
    • D. 11 : 9
    • Discuss


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