A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the

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Question
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

Correct Answer

30

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. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

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

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

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