How much water (in litres) must be added to 80 litres solution of milk and water

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Question
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

Correct Answer

80

Explanation

Let initial quantity be Q, and final quantity be F

F = Q(1 - 8/Q) $^{4}$

=> Q = 20

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Alligation or Mixture problems

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1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

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