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- Question
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
- Correct Answer
- 83.33 ml
ExplanationProfit (%) = 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
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?
Options- A. 14 and 16
- B. 13 and 27
- C. 17 and 27
- D. None of these Discuss
- 7. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Options- A. 1:3
- B. 2:3
- C. 3:4
- D. 4:5 Discuss
- 8. The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?
Options- A. 7:3
- B. 5:3
- C. 8:5
- D. 2:7 Discuss
- 9. In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is
Options- A. 1 litre
- B. 3 litres
- C. 4 litres
- D. 5 litres Discuss
- 10. From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:
Options- A. 15
- B. 16
- C. 25
- D. 31 Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 29.16 litres
Explanation:
Amount of milk left after 3 operations
litres
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: 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: Rs. 18
Correct Answer: 63 Kg
Correct Answer: 13 and 27
Correct Answer: 2:3
Correct Answer: 5:3
Correct Answer: 5 litres
Correct Answer: 15
Explanation:
Let quantity of mixture be x liters.
Suppose a container contains x units of liquid from which y units are taken out and replaced by Water. After operations , the quantity of pure liquid = units, Where n = no of operations .
So, Quantity of Milk =
Given that, Milk : Water = 9 : 16
=> Milk : (Milk + Water) = 9 : (9+16)
=> Milk : Mixture = 9 : 25
Therefore,
=> x = 15 liters
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