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Alligation and Mixture

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Q 1. A mixture of certain quantity of milk with 16 litres of water is worth 90 P per litre. If pure milk be worth ₹1.08 per litre, how much milk is there in the mixture?

A

60

B

70

80

D

90

E

None of these

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Q 2. How many kg of salt at 42 P per kg must a man mix with 25 kg of salt at 24 P per kg so that he may, on selling the mixture at 40 P per kg gain 25% on the outlay?

A

15

20

C

25

D

30

E

None of these

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Q 3. 300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?

A

40 gm

B

50 gm

60 gm

D

70 gm

E

None of these

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Q 4. There are 65 students in a class. 39 rupees are distributed among them so that each boy gets 80 P and each girl gets 30 P. Find the number of boys and girls in that class.

A

45, 20

B

40, 25

39, 26

D

29, 36

E

None of these

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Q 5. A person has a chemical of ₹25 per litre. In what ratio should water be mixed in that chemical so that after selling the mixture at ₹20/litre he may get a profit of 25%?

A

14 : 6

B

15 : 10

16 : 9

D

17 : 8

E

None of these

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Q 6. In what ratio should milk and water be mixed so that after 2 selling the mixture at the cost price a profit of {tex}16\frac{2}{3} {/tex} % is made?

A

1 : 2

1 : 6

C

2 : 3

D

2 : 5

E

None of these

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Q 7. A trader has 50 kg of rice, a part of which he sells at 14% profit and the rest at 6% loss. On the whole his loss is 4%. What is the quantity sold at 14% profit and that at 6% loss?

A

2, 48

B

4, 46

5, 45

D

7, 43

E

None of these

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Q 8. A vessel of 80 litre is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 55%. Find the initial quantity of milk and water.

A

20, 60

B

30, 50

50, 30

D

60, 20

E

None of these

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Q 9. A container contained 80 kg of milk. From this container, 8 kg of milk was taken out and replaced by water. This process was further repeated two times. How much milk is now contained by the container?

A

48 kg

B

56 kg

58.32 kg

D

59.46 kg

E

None of these

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Q 10. Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?

A

1 : 2

3 : 2

C

2 : 3

D

4 : 5

E

None of these

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Q 11. An alloy contains copper and zinc in the ratio 5 : 3 and another alloy contains copper and tin in the ratio 8 : 5. If equal weights of both the alloys are melted together, then the weight of tin in the resulting alloy per unit will be:

A

26/5

5/26

C

7/40

D

40/7

E

None of these

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Q 12. A dishonest milkman preofesses to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is ___________________.

A

10%

B

15%

C

20%

25%

E

None of these

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Q 13. A can contains a mixture of two liquids A and B in proportion 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A

20 {tex}l{/tex}

B

21{tex}l{/tex}

C

30 {tex}l{/tex}

36 {tex}l{/tex}

E

None of these

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Q 14. In a mixture of 60 litres, the ratio of milk to water is 2 : 1. If the ratio of milk to water is to be 1 : 2, then amount of water to be further added is _____________________.

A

20

B

40

60

D

80

E

None of these

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Q 15. A vessel is fully filled with a special liquid. Four litres of liquid is drawn out from this vessel and is replaced with water. If the ratio from the special liquid to the water becomes 1: 2, then what is the capacity of the vessel ?

A

8 litres

B

10 litres

6 litres

D

14 litres

E

None of these

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Q 16. In three vessels each of 10 litres capacity, mixture of milk and water is filled. The ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and and water in the mixture.

A

181 : 49

B

101 : 49

121 : 59

D

131 : 69

E

None of these

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Q 17. Milk and water are mixed in a vessel A in the proportion 5 : 2, and in vessel B in the proportion 8 : 5. In what proportion should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the proportion of 9 : 4?

A

4 : 5

B

5 : 7

7 : 2

D

7 : 9

E

None of these

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Q 18. A butler stores wine from a butt of sherry which contained 30% of spirit and he replaced what he had stolen by wine containing only 12% of spirit. The butt was then 18% strong only. How much of the butt did he steal?

A

1/3

B

2/5

2/3

D

4/7

E

None of these

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Q 19. Jayashree purchased 150 kg of wheat of the rate of ₹7 per kg. She sold 50 kg at a profit of 10%. At what rate per kg should she sell the remaining to get a profit of 20% on the total deal?

A

6.50

8.75

C

7.50

D

9.75

E

None of these

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Q 20. In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water? (Weight in gm)

A

75%

B

88%

C

90%

D

100%

None of these

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Q 21. Mixture of milk and water has been kept in two separate containers. Ratio of milk to water in one of the containers is 5 : 1 and that in the other container is 7 : 2. In what ratio should the mixtures of these two containers be added together so that the quantity of milk in the new mixture may become 80%?

A

3 : 2

2 : 3

C

4 : 5

D

1 : 2

E

None of these

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Q 22. Three containers of capacity 20 L, 5 Land 9 L contain mixture of milk and water with milk concentrations 90%, 80% and 70% respectively. The contents of three containers are emptied into a large vessel. What is the approximate ratio of milk to water in the resultant mixture?

A

3 : 1

B

4 : 1

5 : 1

D

2 : 1

E

None of these

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Q 23. Two equal glasses filled with mixture of alcohol and water in the proportions of 2 : 1 and 1 : 1 respectively were emptied into a third glass. What is the ratio of alcohol and water in the third glass?

A

5 : 6

7 : 5

C

4 : 2

D

8 : 1

E

None of these

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Q 24. A merchant blends two varieties of tea, one costing ₹20 per kg and another costing ₹28 per kg, in the ratio 3:2 respectively. He sold the mixture at ₹24 per kg. What is his percentage of gain?

3.4 %

B

5.2%

C

6%

D

8%

E

None of these