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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?

60

70

80

90

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?

15

20

25

30

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?

40 gm

50 gm

60 gm

70 gm

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.

45, 20

40, 25

39, 26

29, 36

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%?

14 : 6

15 : 10

16 : 9

17 : 8

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?

1 : 2

1 : 6

2 : 3

2 : 5

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?

2, 48

4, 46

5, 45

7, 43

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.

20, 60

30, 50

50, 30

60, 20

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?

48 kg

56 kg

58.32 kg

59.46 kg

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?

1 : 2

3 : 2

2 : 3

4 : 5

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:

26/5

5/26

7/40

40/7

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 ___________________.

10%

15%

20%

25%

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?

20 {tex}l{/tex}

21{tex}l{/tex}

30 {tex}l{/tex}

36 {tex}l{/tex}

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 _____________________.

20

40

60

80

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 ?

8 litres

10 litres

6 litres

14 litres

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.

181 : 49

101 : 49

121 : 59

131 : 69

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?

4 : 5

5 : 7

7 : 2

7 : 9

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?

1/3

2/5

2/3

4/7

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?

6.50

8.75

7.50

9.75

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)

75%

88%

90%

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%?

3 : 2

2 : 3

4 : 5

1 : 2

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?

3 : 1

4 : 1

5 : 1

2 : 1

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?

5 : 6

7 : 5

4 : 2

8 : 1

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 %

5.2%

6%

8%

None of these

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