Learn and practice Problems on alligation and mixture with easy explaination and shortcut tricks. All questions and answers on train covered for various Competitive Exams

Alligation and mixture problems:

1) A 60 liter mixture of milk and water contains 10% water. How much water must be added to make water 20% in the mixture?

3) A 20 liter mixture contains 30% alcohol and 70% water. If 5 liters of water is added to the mixture, what will be the percentage of alcohol in the new mixture ?

Total cost price of (60+90)150 kg of mixture = (60*30+90*40)

= 1800+3600

= Rs. 5400

Cost Price per kg of mixture = 5400_{=} Rs. 36 per kg 150

Now, Required gain = 20%

∴Required selling price per kg of mixture = 120 ∗36 = Rs. 43.2 per kg 100

6) 700 ml of a mixture contains water and milk in the ratio 2:8. How much water must be added to the mixture so that the ratio of water and milk becomes 3:8?

So, water in the mixture would be = 700 – 560 = 140 ml

Let water to be added = x ml

Now, 140+x_{=}3 560 8

1120+8x = 1680

8x = 1680 – 1120

8x= 560

X= 560 = 70 ml 8

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7) A rice dealer bought 60 kg of rice worth Rs. 30 per kg and 40 kg of rice worth Rs. 35 per kg. He mixes the two and sells the mixture at Rs. 40 per kg. What is the percentage profit in this deal?

8) 1/2 and 1/4 parts of two bottles are filled with milk. The bottles are then filled completely with water and the content of bottles is poured into a container. Find the ratio of the milk and water in the container?

∴Total quantity of milk in the two bottles = 1/2 + 1/4 = 3/4

Hence amount of water in the two bottles = 2- 3/4 = 5/4

∴Required ratio of milk and water =(3/4)/(5/4)= 3/5

9) A bottle of whisky contains 40% alcohol. If we replace a part of this whisky by another whisky containing 20% alcohol, the percentage of alcohol becomes 28%. What quantity of whisky is replaced?

Now, the quantity of whisky replaced is equal to the quantity of the second whisky added.

∴The quantity of whisky replaced = 3 5

10) An alloy has copper and zinc in the ratio of 6:3 and another alloy has copper and tin in the ratio of 8:6. The equal weights of both the alloys are melted to form a new alloy. What will be the weight of tin per kg of the new alloy?