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- Question
4 kg of a metal contains 1/5 copper and rest in Zinc. Another 5 kg of metal contains 1/6 copper and rest in Zinc.The ratio of Copper and Zinc into the mixture of these two metals:
Options- A. 49 : 221
- B. 39:231
- C. 94:181
- D. None of these
- Correct Answer
- 49 : 221
ExplanationCopper in 4 kg = 4/5 kg and Zinc in 4 kg = 4 x (4/5) kg
Copper in 5 kg = 5/6 kg and Zinc in 5 kg = 5 x (5/6) kg
Therefore, Copper in mixture = kg
and Zinc in the mixture = kg
Therefore the required ratio = 49 : 221
- 1. A container contains 50 litres of milk. From that 8 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. 24.52 litres
- B. 29.63 litres
- C. 28.21 litres
- D. 25.14 litres Discuss
- 2. A mixture contains 25% milk and rest water. What percent of this mixture must taken out and replaced with milk so that in mixture milk and water may become equal.
Options- A. 31.8%
- B. 31%
- C. 33.33%
- D. 29.85% Discuss
- 3. 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
- 4. 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
- 5. 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
- 6. A milkman claims to sell milk at its cost price, still, he is making a profit of 30% since he has mixed some amount of water in the milk. What is the % of milk in the mixture?
Options- A. 71.02%
- B. 76.92%
- C. 63.22%
- D. 86.42% Discuss
- 7. 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:
Options- A. 1.25 kg
- B. 1 kg
- C. 1.5 kg
- D. None of these Discuss
- 8. How many liters of oil at Rs. 40 per liter should be mixed with 240 liters of the second variety of oil at Rs.60 per liter so as to get a maximum whose cost is Rs.52 per liter?
Options- A. 170 liters
- B. 160 liters
- C. 150 liters
- D. 140 liters Discuss
- 9. In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?
Options- A. 1:1
- B. 2:1
- C. 3:1
- D. 1:2 Discuss
- 10. The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ?
Options- A. 6 ml
- B. 11 ml
- C. 15 ml
- D. 9 ml Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 29.63 litres
Explanation:
Given that container has 50 litres of milk.
After replacing 8 litres of milk with water for three times, milk contained in the container is:
= 29.63 litres.
Correct Answer: 33.33%
Explanation:
Now, take percentage of milk and applying mixture rule
25 100
50
50 25 = 2 : 1
Hence required answer = 1/3 or 33.33%
Correct Answer: 1 : 10
Explanation:
Customer ratio of Milk and Water is given by
Milk :: Water
6.4 0
=> Milk : Water = 110 : 11 = 10 : 1
Therefore, the proportionate of Water to Milk for Customer is 1 : 10
Correct Answer: 1.25 kg
Explanation:
Let the initial amount of honey in the jar was K, then
or
Therefore, K = 1250
Hence initially the honey in the jar= 1.25 kg
Correct Answer: 32 lit
Explanation:
Given mixture = 48 lit
Milk in it = 48 x 5/8 = 30 lit
=> Water in it = 48 - 30 = 18 lit
Let 'L' lit of water is added to make the ratio as 3:5
=> 30/(18+L) = 3/5
=> 150 = 54 + 3L
=> L = 32 lit.
Correct Answer: 76.92%
Explanation:
Let the milk he bought is 1000 ml
Let C.P of 1000 ml is Rs. 100
Here let he is mixing K ml of water
He is getting 30% profit
=> Now, the selling price is also Rs. 100 for 1000 ml
=> 100 : K%
= 100 : 30
10 : 3 is ratio of milk to water
=> Percentage of milk = 10 x 100/13 = 1000/13 = 76.92%
Correct Answer: 1.25 kg
Explanation:
Let the initial amount of honey in the jar was k, then
=>
=> k = 1250
Hence initially the honey in the jar = 1.25 kg
Correct Answer: 160 liters
Explanation:
Apply the Allegation Method and first calculate the ratio in which they have to be mixed. = 8 : 12 = 2 : 3 Thus, the two varieties of oil should be mixed in the ratio 2 : 3. So, if 240 liters of the second variety are taken, then 160 liters of the first variety should be taken.
Correct Answer: 1:1
Explanation:
Quantity of alohol in the mixture = 40 x 5/8 = 25 lit
Quantity of water = 40 - 25 = 15 lit
According to question,
Required ratio =
Correct Answer: 6 ml
Explanation:
Let us assume that the lotion has 50% alcohol and 50% water.
ratio = 1:1
As the total solution is 9ml
alcohol = water = 4.5ml
Now if we want the quantity of alcohol = 30%
The quantity of water = 70%
The new ratio = 3:7
Let x ml of water be added
We get,
=> x=6
Hence 6ml of water is added.
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