In a container, there is 960 ltr of pure milk from which 48 ltr of milk is repla

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Question
In a container, there is 960 ltr of pure milk from which 48 ltr of milk is replaced with 48 ltr of water, again 48 ltr milk is replaced by same amount of water, as this process is done once more. Now, what is the amount of pure milk?
Options
A. 901.54 ltr
B. 821.54 ltr
C. 719.64 ltr
D. 823.08 ltr

Correct Answer

823.08 ltr

Explanation

Amount of pure milk= a(1 ?b/a)n(n = 3, a = pure milk and b = amount replaced)= 960 (1 ?48/960)^3= 960(1-1/20)^3= 960 * 19/20 * 19/20*19/20= 823.08 lt.

Alligation or Mixture problems

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2. 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

3. A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?
Options
A. 3
B. 1
C. 2
D. 4

4. In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is
Options
A. 3:2
B. 2:3
C. 3:4
D. 5:2

5. Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?
Options
A. 7:13
B. 11:57
C. 23:37
D. 1:3

6. There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.
Options
A. 25 Litres
B. 20 Litres
C. 35 Litres
D. 30 Litres

7. An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?
Options
A. 250
B. 750
C. 1000
D. 500

8. A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?
Options
A. 45
B. 40
C. 35
D. 44

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