Alligation or Mixture problems
- 1. Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?
Options- A. 49.6
- B. 52.3
- C. 51.2
- D. 50.7 Also asked in: Bank Exams
Correct Answer: 50.7
- 2. 20 kg of a mixture of wheat and husk contains 5% husk. How many kg more of husk must be added to make the husk content 20% in the new mixture?
Options- A. 2.75
- B. 3.75
- C. 4.75
- D. 5.75 Also asked in: Bank Exams
Correct Answer: 3.75
- 3. A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?
Options- A. 25
- B. 20
- C. 30
- D. 15 Also asked in: Bank Exams
Correct Answer: 30
- 4. If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?
Options- A. 2 : 5
- B. 1 : 5
- C. 2 : 3
- D. 2 : 1 Also asked in: Bank Exams
Correct Answer: 2 : 5
- 5. In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be
Options- A. 2:1
- B. 1:2
- C. 4:5
- D. 5:4 Discuss
Correct Answer: 2:1
Explanation:
Ratio of milk andwater = 4:1
Quantity of water = 35/5 = 7 litres
Quantity of milk = 35 X 4/5 = 28 litres
If 7 litre of water is added, new quantity of water = 14 litre
New ratio of milk and water = 28:14 = 2:1
- 6. Price of 1 kg of sugar is increased by 30% and the increase is of Rs 48. What is the new price (in Rs) of the sugar per kg?
Options- A. 178
- B. 160
- C. 208
- D. 216 Also asked in: Bank Exams
Correct Answer: 208
- 7. From container A containing 54 liter of mixture of milk and water in ratio of 8 : 1 , 18 liter of the mixture is taken out and poured into container B in which ratio of milk to water is 3 : 1. If difference between total milk and total water in container B is 30 liter then find the quantity of initial mixture in container B.
Options- A. 30 Liter
- B. 28 Liter
- C. 32 Liter
- D. 36 Liter Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 32 Liter
Explanation:
Let initially milk and water in container B is 3x liter and x liter respectively
Now, 3x + (8/9) × 18 ? x ? (1/9) × 18 = 30
3x + 16 ? x ? 2 = 30
x = 8
Initial quantity is container B = 8 (3 + 1) = 32 Liter.
- 8. In what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?
Options- A. 1 : 3
- B. 3 : 7
- C. 13 : 7
- D. 9 : 4 Also asked in: Bank Exams
Correct Answer: 1 : 3
- 9. In a mixture of 60 litres, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
Options- A. 42 Litres
- B. 56 Litres
- C. 60 Litres
- D. 77 Litres Also asked in: Bank Exams
Correct Answer: 60 Litres
Explanation:
Ratio of milk and water = 2 : 1
Quantity of milk = 60 X 2/3 = 40 litre
Quantity of water = 20 litre
To make ratio, 1: 2, we have to double the water that of milk
So, water should be 80 litre.
That means 80 ? 20 = 60 litre water to be added.
- 10. The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant?
Options- A. 30
- B. 35
- C. 50
- D. 55 Also asked in: Bank Exams
Correct Answer: 55
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