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- Question
In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?
Options- A. 38 lit
- B. 96 lit
- C. 48 lit
- D. 52 lit
- Correct Answer
- 48 lit
ExplanationLet the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.
According to given data,
4x/3x+6 =8/7
28x=24x+48
28x?24x=48
4x = 48
x = 12
Amount of juice = 4x = 4×12 = 48 litre.
- 1. The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?
Options- A. 5 : 7
- B. 4 : 9
- C. 1 : 1
- D. 4 : 7 Discuss
- 2. A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre, then what is the profit percentage for the dealer?
Options- A. 17.2
- B. 14.4
- C. 16.6
- D. 15.5 Discuss
- 3. 2/3 of a milk-water mixture was milk. There was 21 lit of the mixture. If 4 lit of water is added to it, the % of milk in the new mixture will be:
Options- A. 56
- B. 11
- C. 44
- D. 14 Discuss
- 4. 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. 5 lit
- B. 10 lit
- C. 15 lit
- D. 20 lit Discuss
- 5. How much pepsi at Rs.6 a litre is added to 15 litre of 'dew' at Rs. 10 a litre so that the price of the mixture be Rs.9 a litre?
Options- A. 5
- B. 8
- C. 10
- D. None of these Discuss
- 6. A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?
Options- A. 21 litres
- B. 15 litres
- C. 23 litres
- D. 18 litres Discuss
- 7. 8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?
Options- A. 10 ltr
- B. 20 ltr
- C. 30 ltr
- D. 40 ltr Discuss
- 8. 80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?
Options- A. 8
- B. 9
- C. 10
- D. 12 Discuss
- 9. How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?
Options- A. 10
- B. 20
- C. 40
- D. 80 Discuss
- 10. 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 Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 4 : 9
Correct Answer: 15.5
Correct Answer: 56
Correct Answer: 10 lit
Explanation:
Number of liters of water in 150 liters of the mixture = 20% of 150 = 20/100 x 150 = 30 liters.
P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 x (150 + P)
120 + 4P = 150 + P => P = 10 liters.
Correct Answer: 5
Correct Answer: 21 litres
Correct Answer: 20 ltr
Explanation:
Let initial quantity be Q, and final quantity be F
F = Q(1 - 8/Q)
=> Q = 20
Correct Answer: 10
Correct Answer: 80
Correct Answer: 50.7
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