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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. 10 liters
- B. 20 liters
- C. 30 liters
- D. 40 liters
- Correct Answer
- 10 liters
ExplanationNumber of liters of water in 125 liters of the mixture = 20% of 150 = 1/5 of 150 = 30 liters
Let us Assume that another 'P' liters of water are added to the mixture to make water 25% of the new mixture. So, the total amount of water becomes (30 + P) and the total volume of the mixture becomes (150 + P)
Thus, (30 + P) = 25% of (150 + P)
Solving, we get P = 10 liters
- 1. The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?
Options- A. 25
- B. 21
- C. 12
- D. 24 Discuss
- 2. A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Options- A. 1/3
- B. 1/4
- C. 1/5
- D. 1/7 Discuss
- 3. A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is
Options- A. 400 kg
- B. 560 kg
- C. 600 kg
- D. 640 kg Discuss
- 4. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Options- A. 10
- B. 20
- C. 21
- D. 25 Discuss
- 5. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally?
Options- A. 18 litres
- B. 24 litres
- C. 32 litres
- D. 42 litres Discuss
- 6. How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
Options- A. 36 Kg
- B. 42 Kg
- C. 54 Kg
- D. 63 Kg Discuss
- 7. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
Options- A. Rs. 19.50
- B. Rs. 19
- C. Rs. 18
- D. Rs. 18.50 Discuss
- 8. The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ?
Options- A. 4
- B. 5
- C. 8
- D. None of these Discuss
- 9. The ratio of petrol and kerosene in the container is 3:2 when 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in the container is:
Options- A. 25
- B. 30
- C. 45
- D. cannot be determined Discuss
- 10. A container contains 40 litres of milk.From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.
Options- A. 26.34 litres
- B. 27.36 litres
- C. 28 litres
- D. 29.16 litres Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 21
Correct Answer: 1/5
Explanation:
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
Quantity of water in new mixture =
litres.
Quantity of syrup in new mixture = litres.
=> 5x + 24 = 40 - 5x
=> 10x = 16 => x = 8/5
So, part of the mixture replaced = = 1/5.
Correct Answer: 600 kg
Correct Answer: 21
Explanation:
Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively
Quantity of A in mixture left = litres.
Quantity of B in mixture left = litres.
So, the can contained 21 litres of A.
Correct Answer: 24 litres
Explanation:
Let the quantity of the wine in the cask originally be x litres
Then, quantity of wine left in cask after 4 operations =
litres
Correct Answer: 63 Kg
Correct Answer: Rs. 18
Correct Answer: 5
Explanation:
Wine Water
8L 32L
1 : 4
20 % 80% (original ratio)
30 % 70% (required ratio)
In ths case, the percentage of water being reduced when the mixture is being replaced with wine.
so the ratio of left quantity to the initial quantity is 7:8
Therefore ,
=> K = 5 Lit
Correct Answer: 30
Explanation:
pool : kerosene
3 : 2(initially)
2 : 3(after replacement)
(for petrol)
=> K = 30
Therefore the total quantity of the mixture in the container is 30 liters.
Correct Answer: 29.16 litres
Explanation:
Amount of milk left after 3 operations
litres
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