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- Question
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
- Correct Answer
- 63 Kg
- 1. 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 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 liter is :
Options- A. 83.33 ml
- B. 90.90 ml
- C. 99.09 ml
- D. can't be determined Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 10 liters
Explanation:
Number 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
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: 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
Correct Answer: 83.33 ml
Explanation:
Profit (%) = 9.09 % = 1/11
Since the ratio of water and milk is 1 : 11,
Therefore the ratio of water is to mixture = 1:12
Thus the quantity of water in mixture of 1 liter = 1000 x (1/12) = 83.33 ml
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