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# Alligation or Mixture

1.
Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5 ?

4:3
3:4
5:6
7:9

2.
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

1/3
1/4
1/5
1/7

3.
A container contains 40 litres of water. From this container 4 litres of water was taken out and replaced by milk. This process was repeated further two times. How much water is now contained by the container?

26.3l
27.36l
28l
29.16l

4.
In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

3:2
1:2
2:3
2:1

5.
In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs. 10 per kg?

7:8
31:36
8:7
36:31

6.
729 ml of mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3 .

79ml
72ml
81ml
91ml

7.
Two vessels A and B contain milk and water mixed in the ratio 4: 3 and 2: 3. In what ratio must these mixtures be mixed to form a new mixture containing half milk and half water?

7:5
2:1
1:2
2:5

8.
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage uf alcohol was found to be 26%. The quantity of whisky replaced is.

1/3
2/5
2/3
3/5

9.
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

10
20
21
25

10.
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

4litre,8litre
6litre,6litre
5litre,7litre
7litre,5litre

11.
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

3:7
5:7
7:3
7:5

12.
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

1:3
2:3
3:4
4:5

13.
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

400kg
560kg
600kg
640kg

14.
The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is

Rs.18
Rs.18.50
Rs.19
Rs.19.50

15.
In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?

1:6
6:1
2:3
4:3