Mixture and Alligation - 1

1. A milkman has 2 types of milk. In the first container the % of milk is 80% and in the 2nd container the
% of milk is 60%. If he mixes 28L of milk of the 1st container to the 32L of milk of the 2nd container,
then the % of milk in the mixture is:

(a) 69.33% (b) 70.14% (c) 67.21% (d) 63.78%

2. A beaker contains acid and water in the ratio 1 : x. when 300 ml of the mixture and 50 ml of water are
mixed, the ratio of acid and water becomes 2 : 5 What is the value of x?

(a) 2 (b) 1 (c) 3 (d) 4

3. Two vessels contain milk and water in the ratio 7 : 8 and 13 : 5. If both vessel are mixed in ratio 1 : 1,
find the ratio of milk and water in new mixture?

(a) 107 : 73 (b) 105 : 59 (c) 111 : 69 (d) 103 : 77

4. A and B are two alloy of tin and copper prepared by mixing metals in proportions 13 : 11 and 5 : 7
respectively. If equal quantities of two alloys melted to form a 3rd alloy C, the proportion of tin and
copper in C will be?

(a) 23 : 25 (b) 22 : 23 (c) 18 : 17 (d) 22 : 27

5. The ratios of copper to zinc in alloys A and B are 3 : 4 and 5 : 9, respectively. A and B are taken in the
ratio 2 : 3 and melted to form a new alloy C. What is the ratio of copper to zinc in C?

(a) 27 : 43 (b) 8 : 13 (c) 3 : 5 (d) 9 : 11

6. Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and
water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to
obtain a mixture of milk and water in 3 : 1 ratio?

(a) 27 : 14 (b) 27 : 13 (c) 27 : 16 (d) 27 : 18

7. Alloy A contains copper and zinc in the ratio of 5 : 2 and alloy B contains copper and zinc in the ratio of
1 : 3. A and B are taken in the ratio of 9 : 8 and melted to form a new alloy. The percentage of zinc in
the new alloy is closest to:

(a) 46.9 (b) 53.86 (c) 48.73 (d) 50.42

8. Two vessels contain milk water in the ratio 5 : 9 and 7 : 11. If both vessels are mixed in ratio 4 : 3. Find
the ratio of milk and water in new mixture?

(a) 141 : 131 (b) 107 : 89 (c) 109 : 185 (d) 114 : 175

9. 9. Two vessels contain mixture of milk and water. In 1st mixture milk is 31.25% less than water and in
2nd mixture the difference between quantity of milk and water is 11.11% of total mixture. If 10.5liter of
 1st mixture and 17.5liter of 2nd mixture is mixed then find the ratio of milk and water in the new
mixture.

(a) 1 : 2 (b) 2 : 1 (c) 1 : 1 (d) 3 : 1

10. Three glasses of equal volume contain acid mixed with water. The ratios of acid and water are
2 : 3, 3 : 4 and 4 : 5 respectively. Contents of these glasses are poured in a large vessel. The ratio of acid
and water in the large vessel is:

(a) 411 : 540 (b) 401 : 544 (c) 417 : 564 (d) 407 : 560

11. Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively.
These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

(a) 49.6 (b) 52.3 (c) 51.2 (d) 50.7

12. In 3 vessels, each of 39.6ltr of capacity, mixture of milk and water is filled. The ratio of milk and water
are 3 : 1, 2 : 3, 4 : 3 in the respective vessels. If all the three vessels are emptied in to a single large
vessel, then what will be ratio of water to milk in the resultant mixture?

(a) 179 : 241 (b) 197 : 214 (c) 219 : 117 (d) 179 : 234

13. Three containers A, B and C are having mixture of milk and water in the ratio 1 : 3, 2 : 3 and 2 : 5
respectively. If the capacities of the containers are in the ratio 2 : 3 : 5, find the ratio of milk to water, if
the mixture of all 3 containers are mixed together.

(a) 143 : 296 (b) 438:962 (c) 348 : 962 (d) 481 : 219

14. There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio
18 : 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B
are in the ratio 13 : 7. In drum 2, then A and B were in the ratio:

(a) 229 : 141 (b) 220 : 149 (c) 239 : 161 (d) 251 : 163

15. A milkman uses three containers for selling milk, their capacities being 40L, 30L and 20L respectively.
He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratio,
3 : 2, 5 : 1 and 7 : 2 respectively. What is the ratio of total quantity of milk to that of water carried by
him?

(a) 7 : 2 (b) 31 : 12 (c) 35 : 9 (d) 5 : 2

16. There are 3 mixture contain milk and water. In 1st mixture milk is 37.5% of mixture and in 2nd mixture
milk is 28.56% less than water, in 3rd mixture the ratio of milk and water is 5 : 4. If 12.4liter of 1st
mixture , 15.5 liter of 2nd mixture and 9.3liter of 3rd mixture are mixed together then find the ratio of
milk and water in new mixture?

(a) 7 : 6 (b) 7 : 9 (c) 9 : 7 (d) 11 : 5

17. Three boxes of capacity 24kg, 36kg and 84kg are completely filled with three varieties of wheat A, B
and C respectively. All the three boxes were emptied and three types of wheat were thoroughly mixed
and the mixture was put back in the three boxes. How many kg of type A wheat would be there in the
third box (in kg)?

(a) 10 (b) 12 (c) 14 (d) 16

18. Three vessels whose capacity are in 3 : 2 : 1 are completely filled with milk and water. Ratio of milk
1 1 1
and water in mixture are 5 : 2, 4 : 1, and 4 : 1 respectively. Taking of first and of second and of
3 2 7
third, a new mixture obtained % of water in new mixture?

(a) 28 (b) 30 (c) 32 (d) 24

19. The ratio of milk and water in a vessel is 4 : 7. If 25ltr water is added then ratio becomes 6 : 13. Find the
initial quantity of mixture (in ltr)?

(a) 150 (b) 132 (c) 165 (d) 175

20. 200 liters of a mixture contains milk and water in the ratio 17 : 3. After the addition of some more milk
to it, the ratio of milk to water in the resulting mixture becomes 7 : 1. The quantity of milk added to it
was?

(a) 20 liters (b) 40 liters (c) 60 liters (d) 80 liters

21. The ratio of milk and water in a vessel is 8 : 5. If we added 44ltr milk and 44ltr water then quantity of
milk becomes 28.56% more than water. Find the initial quantity of water?

(a) 48ltr (b) 45ltr (c) 40ltr (d) 60ltr

22. The ratio of milk and water in a vessel is 2 : 3 by chemical process if we extract some water then ratio
becomes 5 : 7 and quantity of mixture reduced to 36ltr, then find how much quantity of water was
extracted?

(a) 1ltr (b) 1.5ltr (c) 1.25ltr (d) 1.15ltr

23. In a mixture of 90ltr, the ratio of milk and water is 8 : 7. If some amount of the mixture is removed in
which 7ltr was water and 1ltr of water is added afterwards into the remaining mixture, then find the new
ratio of milk : water?

(a) 10 : 9 (b) 9 : 10 (c) 8 : 9 (d) 9 : 7

24. The ratio of milk and water in a mixture is 1 : 3. We added x ltr of milk to the mixture then ratio
becomes 7 : 15 and we added 50ltr water to the mixture, then ratio becomes 2 : 5. Find the value of x.

(a) 28ltr b) 32ltr (c) 40ltr (d) 68ltr

25. When 1ltr water is added to a mixture of milk and water, the new mixture contains 25% milk when 2ltr
milk is added to the new mixture, the resultant mixture contains 40% milk. What is the % of milk in the
original mixture?

(a) 33.33% (b) 50% (c) 28.57% (d) 30%

26. In a vessel milk is 60% less than water. When x liter milk is added to mixture then ratio of milk and
water becomes 3 : 5. Now y liter water is extracted from mixture then this ratio becomes 7 : 10. Now
30liter milk is added again then new ratio of milk and water becomes 4 : 5. Find the value of (x + y)?

(a) 60 (b) 120 (c) 180 (d) 144

27. In a vessel ratio of milk and water is 7 : 3. When x ltr milk is added then ratio of milk and water
becomes 17 : 6. Now in this mixture 3.5 ltr milk and 3 ltr water is added then ratio of milk and water
becomes 5 : 2. Find the value of x.

(a) 4 ltr (b) 6 ltr (c) 8 ltr (d) 2 ltr

28. The ratio of milk and water in a vessel is 19 : 7. When a ltr milk is added this ratio becomes 3 : 1. Again
b ltr water is subtracted and new ratio is 7 : 2. Now 7.5 ltr milk is added to mixture and 2.5 ltr water is
extracted, then ratio of milk and water becomes 45 : 11. Find the value of a 3 – b3?

(a) 875 (b) 189 (c) 504 (d) 1701

29. Vessel contains a mixture of milk and water in ratio 14 : 3. 25.5 litres of mixture is taken out from the
vessel and 2.5 litres of pure water and 5 litres of pure milk is added to the mixture. If resultant mixture
contains 20% water. What was the initial quantity of mixture in the vessel before the replacement in
litres:

(a) 69.33% (b) 70.14% (c) 67.21% (d) 63.78%

30. A vessel contains 2.5liters of water and 10liters of milk. 20% of the contents of the vessel are removed.
To the remaining contents, x liters of water is added to reverse the ratio of water and milk. Then y liter
of milk is added again to reverse the ratio of water and milk. Find y.

(a) 100 (b) 110 (c) 120 (d) 130

31. There is a mixture of 120 liters of milk and water. 1/6th part of this mixture is milk. We took out 30liter
mixture and added ‘p’ liter milk to this mixture and the ratio was reversed. Then we added ‘q’ liter
water to this mixture then again the ratio was reversed. Find the value of (q – p)?

(a) 1440 liters (b) 1428 liters (c) 720 liters (d) 960 liters

32. A jar contains a blend of a fruit juice and water in the ratio 15 : x. When 4 litre of water is added to 16
litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?

(a) 9 (b) 8 (c) 6 (d) 10

33. A vessel contains a 32litre solution of acid and water in which the ratio of acid and water is 5 : 3. If
1
12litres of the solution are taken out and 7 litres of water are added to it, then what is the ratio of acid
2
and water in the resulting solution?

(a) 4 : 7 (b) 8 : 11 (c) 4 : 9 (d) 5 : 6

Mixture and Alligation - 2

1. Fresh fruit contains 68% water and dry fruits contain 20% water. How much nuts can be obtained from
100 kg of fresh fruits?

(a) 60 (b) 20 (c) 80 (d) 40

2. The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt
solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If
instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is
produced by mixing B and C in the ratio 2 : 7. The ratio of the strength of D to that of A is

(a) 2 : 5 (b) 1 : 3 (c) 1 : 4 (d) 3 : 10

3. A vessel is full of 90ltr milk, 18ltr milk is taken out and replaced by water and again this process is
repeated 2 times, the amount of milk left after the 3rd replacement is?

(a) 11.52ltr (b) 46.08ltr (c) 23.04ltr (d) 69.12ltr

4. A vessel full of 1600ltr milk. A person draw out 25% of milk form the vessel and replaced with water.
He has repeated the same process 2 times more. Find the final amount of milk in the vessel?

(a) 675L (b) 750L (c) 800L (d) 1200L

5. A jar is filled with milk. A person replaces 25% of milk with water. He repeats the same process 5 times
and as a result there is 1458ml of milk left in the jar. The remaining part of jar is filled with water. The
initial quantity of milk in the jar was?

(a) 4.096L (b) 6.144L (c) 5.12L (d) 9.216L

6. A drum contains 165 litres of ethanol. 44 litres of this liquid is removed and replaced with water. 44
litres of this mixture is again removed and replaced with water. How much water (in litres) is present in
this drum now?

(a) 80.55 (b) 88.73 (c) 76.26 (d) 71.66

7. A vessel is full of 80L milk. If 10L milk is taken out and replaced by same amount of water and further
16L mixture is taken out and replaced by same amount of water and again further 8L mixture is taken
out and replaced by same amount of water again further 20L mixture is taken out replaced by same
amount of water then at the end of 4th process the amount of water in the mixture?
 (a) 37.8L (b) 52.4L (c) 42.2L (d) 27.6L

8. A jar contains a mixture of 175 ml water and 700 ml alcohol. Rohit takes out 10% of the mixture and
substitutes it by water of the same amount. The process is repeated once again. The percentage of water
in the mixture is now?

(a) 35.2 (b) 30.3 (c) 40.5 (d) 25.4

9. A Jar was full of milk. A person used to draw out 18.75% of the milk from the jar and replaced it with
salt solution. He has repeated the same process 3 times and thus there was only 4L 394ml of milk left in
the jar, the rest part of a jar was filled with salt solution. The initial amount of milk in the Jar was?

(a) 4.096L (b) 8.192L (c) 6.144L (d) 8.782L

10. 24 lit are drawn from a vessel full of wine, then filled with water, This operation is performed 3 times
more. The ratio of quantity of wine now left in vessel to that of water is 16 : 65. How much wine did
vessel hold initially?

(a) 48 (b) 72 (c) 96 (d) 120

11. From a container of wine, a thief has stolen 15 lit of wine and replaced it with same quantity of water.
He again, repeated the same process. Thus in 3 attempts ratio of wine and water becomes 343 : 169.
Initial amount of wine.

(a) 90 (b) 135 (c) 105 (d) 120

12. From a container of vegetable oil 13L of vegetable oil is taken out and replaced by another type of
vegetable oil. This process is repeated 3 times more. Find the initial amount of vegetable oil in the
container if at the end the ratio of vegetable oil and another type of vegetable oil becomes 2401 : 1695.

(a) 91L (b) 65L (c) 104L (d) 84.5L

13. A vessel is full of vinegar. 35L of vinegar is taken out & replaced by water. This process is repeated
three more times. Find the final amount of vinegar in the vessel if at the end the ratio of vinegar and
water becomes 625 : 671.

(a) 210L (b) 70.6L (c) 175L (d) 101.27L

14. A vessel contains a mixture of O2 and N2. The quantity of O2 is 36% of total mixture. Some quantity of
mixture taken out from it and replaced by N2. This process is repeated once more. Now the quantity of
O2 is 16% of total mixture. If total quantity of mixture was 18 it then find the quantity of mixture which
is taken out?

(a) 12L (b) 4.5L (c) 9L (d) 6L

15. A vessel is completely filled with milk. 27litres of milk is taken out and replaced by water. Again 15ltr
of mixture is taken out and vessel is filled with water again. Now concentration of milk in the mixture
becomes 71.11%. What is the capacity of container?
 (a) 105ltr (b) 162ltr (c) 180ltr (d) 135ltr

16. x liter is taken out from a vessel full of kerosene and substituted by pure petrol. This process is repeated
two more times. Finally the ratio of petrol and kerosene in the mixture becomes 1701 : 27. Find the
value of x if volume of the original solution is 18 liter?

(a) 13.5ltr (b) 9ltr (c) 12ltr (d) 10ltr

17. A container contains 71.2L of pure milk. 20% of the milk (sol) is taken out and replaced with water.
This process is repeated ‘n’ number of times. Find the min value of ‘n’ for which the milk concentration
becomes less than 46.8%?

(a) 6 (b) 3 (c) 4 (d) 5

18. 105L of a mixture contains milk and water in the ratio 3 : 4. 25L of mixture is taken out & 15L of water
is added in current mixture then 5L of the current mixture is taken out & 10 L of water is added in the
current mixture then again 24L of the current mixture is taken out and 32 litre water is added in the
current mixture. Then what is the current ratio of milk and water in the mixture?

(a) 4 : 9 (b) 17 : 35 (c) 8 : 27 (d) 27 : 36

19. There is a vessel holding 40L of milk. 4L of milk is initially taken out from the vessel and 5L of water
is poured in. After this 5L of the mixture from this vessel is replaced with 6L of water and finally 6L of
mixture from the vessel is replaced with 7L of water. How much of the milk (in ltr) in there in the vessel
now?

(a) 22.42 (b) 27 .09 (c) 24.72 (d) 29.42

20. The ratio of milk and water in a mixture is 7 : 5. How much part of the mixture should be replaced by
water so hat ratio of milk and water is 2 : 3?

11 11 13 13
(a) (b) (c) (d)
35 25 24 26

21. The ratio of milk and water in a mixture is 2 : 1. How much part of the mixture should be replaced by
water so that ratio of milk and water is 5 : 3?

1 1 1 1
(a) (b) (c) (d)
14 6 8 16

22. A vessel contains a solution of two liquids A and B in the ratio 5 : 3. When 10 litres of the solution is
taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes 10 : 11.
The quantity (in litres) of the solution, in the vessel was ……….

(a) 42 (b) 48 (c) 52 (d) 44

23. A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 liters of mixture are drawn
off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many liters of liquid A was
contained by the can initially?
 (a) 14ltr (b) 21ltr (c) 28ltr (d) 35ltr

24. A jar contains a mixture of two liquids A and B in the ratio 3 : 1 When 24 litres of the mixture is taken
out and 9 litres of liquid B is poured into the jar, the ratio becomes 3 : 4. How many litres of liquid A
was contained in the jar?

(a) 30ltr (b) 27ltr (c) 21ltr (d) 24ltr

25. The ratio of milk and water in a vessel is 13 : 11. If 48ltr of mixture is taken out and 81 ltr water is
added then ratio of milk and water becomes 7 : 8. Find quantity of milk in initial mixture.

(a) 301ltr (b) 321ltr (c) 295ltr (d) 299ltr

26. A vessel contains a mixture of acid and water in ratio 13 : 4. Now 15.5liters of mixture is taken out from
the mixture and 1.5litre of pure water and 3liter acid is added to the mixture. If resultant mixture
contains 25% water, then what was the initial quantity of mixture in the vessel before the replacement?

(a) 34ltr (b) 41ltr (c) 51ltr (d) 49.5ltr

27. A vessel contains 64L of mixture of milk and water in the ratio 7 : 3 respectively. 8L of mixture is
replaced by 12L milk. What is the ratio of milk and water in the resulting mixture?

(a) 64 : 21 (b) 35 : 22 (c) 64 : 23 (d) 65 : 21

28. A vessel contains a mixture of 160L of milk and 20L of water. Then ‘x’ L of mixture is taken out and
20L of milk and 25L of water are added to the remaining mixture. If the difference between the quantity
of milk and water is 100 ltr, then find ‘x’?

(a) 27 (b) 36 (c) 45 (d) 54

Mixture and Alligation - 3

1. A person buys 15 tables and 26 chairs for 25,700. He sells the tables at 12% profit and chairs at 19%
profit. If his total profit on selling all the tables and chairs is 4358 rupees. What is the cost price of 5
chairs and 4 tables?

(a) 5700 (b) 5000 (c) 4800 (d) 5500

2. In a class of 50 students, 40% are girls. The average marks of the whole class are 64.4 and the average
of the boys’ marks is 62. What is the average marks of the girls?

(a) 67 (b) 66.8 (c) 66.4 (d) 68

3. In a class of 240 students, 37.5% are boys and the remaining are girls. The average of the boys’ marks is
67.1 and that of the girls is 85.5. What are the average marks of the whole class?

(a) 80.2 (b) 79.4 (c) 77.5 (d) 78.6

4. 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?

(a) 2 : 5 (b) 1 : 5 (c) 2 : 3 (d) 2 : 1

5. Anurag and Amardeep have , between them 72000Rs. Anurag spends 16% of his money while
Amardeep spends 28% of his money .they are left with a sum that constitutes 79% of the whole sum,
find what amount is left with Anurag now ?

(a) 35280 Rs. (b) 33600 Rs. (c) 25200Rs. (d) 40320Rs.

6. The average weight of the boys in a class is 69.3 kg and and that of the girls in the same class is 59.4. If
the average weight of all the boys and girls in the class is 63.8 kg, then the percentage of the number of
boys in the class is:

4 5
(a) 44 (b) 55 (c) 45 (d) 40
9 9

7. The average score of 42 students in a test is 69. The ratio of the number of boys to that of girls is
10 : 11. The average score of the boys is 20% more than that of the girls. The average score of the boys
is:

(a) 73.5 (b) 75.2 (c) 82.8 (d) 75.6

8. The total number of students in section A and B of a class is 120. The number of students in section A is
30 more than that of section B. The average score of the students in B, in a test, is 22.22% less than that
of students in A. If the average score of all the students in the class is 69.3, then what is the average
score of the students in A?

(a) 75.6 (b) 72 (c) 75 (d) 82.8

9. The average age of 120 students in a group is 13.56 years. 35% of the number of students are girls and
the rest are boys. If the ratio of the average age of boys and girls is 6:5, then what is the average age (in
years) of the girls?

(a) 10 (b) 12 (c) 11.6 (d) 14.4

10. In a party only couples are invited. 4/9th males are interested in alcoholic drink. If overall 46.66%
people are interested in alcoholic drink then find the ratio of number of non-alcoholic and alcoholic
female?

(a) 18 : 17 (b) 23 : 22 (c) 26 : 19 (d) 22 : 23

11. If a man sells a packet at 21% profit and pencil at 48% profit, he earns Rs.1890 as profit. But if he sells
21
the pen at % profit and pencil at 15% loss then he bears no profit no loss. Find the cost price of the
4
pen and the pencil.

(a) 10000, 4200 (b) 4000, 1400 (c) 5000, 1750 (d) 6000, 2100
12. If an item A is sold at 25% profit an item B at a loss of 10% there is overall profit of 10%. If the 2 items
(A & B) are sold at a loss of 20% and 6% respectively then there is an overall loss of Rs.294. Find the
cost price of both items.

(a) 700, 1400 (b) 1400, 700 (c) 900, 1200 (d) 1200, 900

13. A seller sells 3 items A, B and C at a profit of 15%, 25% and 40% respectively. Overall profit from A
and C is 30%. Overall profit of all the 3 items is 28%. If the total number of items sold is 50 then find
the individual number of items sold?

(a) 10, 18, 22 (b) 14, 20, 16 (c) 18, 12, 20 (d) 12, 20, 18

14. A man has 960 pens of three types such that he earns a profit of 10%, 11% and 14% respectively. On
4 2
each type he earns profit of 10 % in first two types and 12 % overall profit on all types. Find the no.
9 3
of pens in all three type?

(a) 240, 180, 540 (b) 160, 200, 600 (c) 250, 260, 450 (d) 200, 160, 600

15. Three classes: X, Y and Z, take a test. The average score in class X is 83
The average score in class Y is 76
The average score in class Z is 85
The average score of all students in classes X and Y together is 79.
The average score of all students in classes Y and Z together is 81.
What is the average score for all the three classes, taken together?

(a) 80.2 (b) 81.8 (c) 80.5 (d) 81.5

16. A bus agency has 2415 buses. He sold some buses at 12% profit, some other buses at 8% loss and rest at
20% profit. Thus, he gains 4% on the sale of first two types and other second and third types he gains
8%. The number buses sold first and second type?

(a) 1575 (b) 945 (c) 1470 (d) 1972

17. In a alloy 81% copper and 19% tin. In another alloy 63% copper, 10% tin and remaining are impurities.
Both alloys are mixed such that then % of tin becomes 15%. Find the % of copper in new mixture.

(a) 85% (b) 73% (c) 82% (d) 72%

18. An Alloy A of gold and silver contains 89% gold and 11% silver a second alloy B of gold and silver
contains 75% gold and 9% silver and rest part is impurities, an alloy C is made by mixing alloy A and
3
alloy B and it contains 10 % silver find the % of gold in alloy C?
7

(a) 84% (b) 85% (c) 85.5% (d) 86%

19. In a alloy 82% copper and 18% tin another alloy 70% copper, 6% tin and remaining are impurities. Both
alloys are mixed such that then the % tin in new mixture becomes 11%. Find the % of impurities in new
mixture?

(a) 12% (b) 14% (c)18% (d) 16%

20. Brass is an alloy of copper and zinc, Bronze is an alloy of 79% copper, 3% zinc and 18% tin. A fused
mass of Brass and Bronze is mixed and this resultant alloy contains 70% copper, 18% zinc and rest is
tin. Find % of copper in Brass?

(a) 48% (b) 52% (c) 78% (d) 58%

21. A vessel of 108 litre is filled with milk and water. 73% of milk and 37% of water is taken out of the
vessel. It is found that the vessel is vacated by 58%. Find the difference between initial quantity of milk
and water in ltr?

(a) 9 (b) 18 (c) 27 (d) 22.5

22. A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weights
800 gm. If half litre of the mixture weights 480 gm, then the percentage of liquid 1 in the mixture, in
terms of volume, is

(a) 70 (b) 85 (c) 75 (d) 80

Mixture and Alligation - 4

1. A mixture comprises water, liquids A and B. The volume of water is 1/3rd of the total mixture and the
volume of liquids A and B are in the ratio 5 : 3. To remove the water, the mixture is passed through A
porous medium which completely absorbs the water and partially absorbs liquid A. altogether this
porous medium absorbs 200 ml of the initial mixture .if the ratio of volume of liquids A and B in the
residual concentrated mixture becomes 7 : 9, then find the volume of water absorbed by the porous
medium?

(a) 60ml (b) 80ml (c) 100ml (d) 120ml

2. Two alloys composed of gold and silver together weigh 20kg. one lump contains 75% gold and
31.25g/kg silver .another alloy contains 85% gold and 30gm/kg silver. The total quantity of silver in
two lumps is 617.5gm. if two lumps are melted and formed into one, what % of gold will it contain?

(a) 50% (b) 89% (c) 78% (d) 67%

3. There are 2 alloys consisting Tin, copper and Antimony. The 1st alloy contains 30% copper and the 2nd
alloy contain 40% tin. The % of antimony in the 1st alloy is thrice that in the 2nd alloy. 300kg of the 1st
alloy and 500kg of the 2nd are melted together. The new alloy contains 35% antimony. How many kg
of tin are there in the new alloy?
 (a) 230kg (b) 270kg (c) 165kg (d) 142kg

4. In two alloy A, B the % of copper is 80%,75% respectively and the % of tin in both is 15% and
remaining is nickel. If 20kg and 30kg of the two alloys be mixed together. Find the ratio of copper, tin
and nickel in the mixture thus obtained.

(a) 77 : 15 : 8 (b) 77 : 8 : 15 (c) 78 : 15 : 12 (d) 37 : 5 : 3

5. A goldsmith got an order of making a statue with the help of 6kg gold and 1kg silver. But the dishonest
goldsmith replaced some amount of gold with silver and made the statue. It is known that when gold &
silver are weighted under water, they lose their 4% and 2% weights respectively. When the statue was
weighted it shows 6.75 kg. find the quantity of gold stolen by the goldsmith?

(a) 1/4kg (b) 1/2kg (c) 1kg (d) 2kg

6. In what ratio should coffee powder costing Rs.2500 per kg be mixed with coffee powder costing
Rs.1500 per kg so that the cost of the mixture is Rs.2250 per kg?

(a) 1 : 4 (b) 4 : 1 (c) 3 : 1 (d) 1 : 3

7. A shopkeeper bought one type of rice at Rs.12 per kg and other type at Rs.16.25 per kg. After mixing
both types of rice he fixed the cost of mixture as Rs.14.75 per Kg. If the total quantity of the rice be 85
kg, Find the quantity of first type of rice.

(a) 55 kg (b) 30 kg (c) 35 kg (d) 40 kg

8. Sri Ganesh bought 40 kg of wheat at Rs.12.50 per kg and 25 kg at Rs.15.10 per kg. He mixed them
together. At what rate should he sell the mixture to earn 10% profit?

(a) Rs.13.50 (b) Rs.13.25 (c) Rs.14.75 (d) Rs.14.85

9. In what ratio must a grocer mix tea at Rs.72/kg, and Rs.90/kg, so that by selling the mixture at
Rs.99.6/kg, he may gain 20%?

(a) 2:3 (b) 7 : 11 (c) 3 : 7 (d) 13 : 19

10. A 25% gain is made by selling the mixture of two types of sugar at Rs.450 per kg. If one type of sugar
costing Rs.560 per kg was mixed with 185 kg of other type of sugar which cost is Rs.280 per kg, how
many kilograms of the former was mixed?

(a) 76 kg (b) 75 kg (c) 74 kg (d) 70 kg

11. A shopkeeper has 100 kg of rice. He sells 25 kg at some profit and sell remaining part at 8% profit. If he
earns 10% profit on whole transaction than find at what % profit he sells 25 kg rice.

(a) 15% (b) 16% (c) 20% (d) 18%

12. Manish bought 25 kg of rice at Rs.32 per kg and 15 kg of rice at Rs.36 per kg. What profit did he get
when he mixed the two varieties together and sold it at Rs.40.20 per kg?
 (a) 25% (b) 40% (c) 30% (d) 20%

13. A wholesaler blends two varieties of tea, one costing Rs.60 per kilo and another costing Rs.105 per kilo.
The ratio of quantities they were mixed in as 7 : 2. If he sold the mixed variety at Rs.100 per kilo, what
was his profit percentage?

2 2 6 6
(a) 34 % (b) 38 % (c) 42 % (d) 48 %
7 5 7 7

14. A shopkeeper has 66 kg of rice he sells one part of rice at 15% loss and remaining at 45% profit if in
whole transaction he gain 15% profit the find the quantity of rice which is sold at 15% loss.

(a) 33 kg (b) 44 kg (c) 22 kg (d) 26 kg

15. 35 kg of type A sandal powder, which costs Rs.614 per kg, was mixed with a certain amount of type B
sandal powder, which costs Rs.695 per kg. Then the mixture was sold at the rate of Rs.767 per kg and
18% profit was earned. What was the amount (in kg) of type B sandal powder in the mixture?

(a) 24 (b) 28 (c) 32 (d) 36

16. Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and
water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to
obtain a mixture of milk and water in 3 : 1 ratio?

(a) 27 : 14 (b) 27 : 13 (c) 27 : 16 (d) 27 : 18

17. Vessels A and B contain mixtures of milk and water in the ratios 4 : 3 and 7 : 4 respectively. In what
ratio should quantities of mixture be taken from A and B to form a mixture in which water and milk is
in the ratio 19: 31?

(a) 62 : 185 (b) 101 : 177 (c) 63 : 187 (d) 23 : 50

18. Two vessel A and B contain milk and water mixed in the ratio 2:3 and 11:6 respectively. The ratio in
1
which these two mixtures be mixed to get a new mixture containing 47 % milk is.
17

(a) 3 : 5 (b) 5 : 2 (c) 5 : 7 (d) 2 : 7

19. Two vessels A and B contain milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixture are
mixed to form a new mixture containing half milk and half water, they must be taken in the ratio

(a) 2 : 5 (b) 3 : 5 (c) 4 : 5 (d) 7 : 3

20. A person 2 different kinds of alcohol. In the Ist mixture the ratio of alcohol to water is 3 : 4 and in the
2nd mixture is 5 : 6. If he mixes the two given mixtures and makes a third mixture of 54L in which the
ratio of alcohol to water is 4:5 the quantity of 1st mixture (whose ratio is 3:4) is required to make the
54L of the 3rd kind of mixture is?

(a) 16 (b) 21 (c) 18 (d) 24

21. Solution A contains 10% acid and sol B contains 30% acid. In what ratio should sol A be mixed with
sol B to obtain a mixture with 25% acid?

(a) 1 : 2 (b) 2 : 1 (c) 1 : 3 (d) 2 : 1

22. 300 grams of sugar solution has 40% of sugar in it. How much sugar should be added to make to 50% in
the solution?

(a) 40 gram (b) 10 gram (c) 60 gram (d) 80 gram

23. A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weights
800 gm. If half litre of the mixture weights 480 gm, then the percentage of liquid 1 in the mixture, in
terms of volume, is

(a) 70 (b) 85 (c) 75 (d) 80

4 3
24. A liquid P is 1 times heavier than water. Water is 1 times heavier than another liquid Q. How
11 19
many litres of liquid P should be mixed with 18 ltr of liquid Q, so that the weight of mixture is equal to
weight of water?

(a) 5.25 lt (b) 13.50 lt (c) 8 lt (d) 6.75 lt

Mixture and Alligation - 5

1. In a village consisting of p persons, x% can read and write. Of the males alone y%, and of the females
alone z% can read and write. Find the number of males in the village in terms of p, x, y and z if
(z < y).

[p(x  z)] [p(x  z)] [p(x  z)] [p(x  z)]

(a) (b) (c) (d)
[y  x  z] [y  x  2z] [x  z] [y  z]

2. A person travels 255 km in 7 hours in two stages. In the first part of journey, he travels by bus at the
speed of 30 km/hour. In the second part of journey, he travels by train at the speed of 45 km/hour. How
much distance he travels by bus?

(a) 135 km (b) 145 km (c) 120 km (d) 125 km

3. In a society, men , women and children live. The average age of men, women and children is 48, 42 and
12 respectively. The average age of men and women is 46, while the average age of women and
children is 30. So what will be the average age of children and men?

(a) 24yrs (b) 45yrs (c) 39yrs (d) 35yrs,

4. In a party there are men, women and children. The ratio of number of children and number of men is
14:48. 60% of women and 20% of children have smart phone with them, and overall 46% of women
 and children have smart phone. 70% of the people in party have smart phone with them. Find the ratio
of men not having smartphone to that of men having smartphone?

(a) 3 : 17 (b) 2 : 8 (c) 1 : 8 (d) 1 : 9

5. A rabbit on a controlled diet is fed daily 300gms of a mixture of two foods, food X and food Y. Food X
contains 10% protein and food Y contains 15% protein. If the rabbit’s diet provides exactly 38gm of
protein daily, how many grams of food X are in the mixture.

(a) 100 (b) 140 (c) 150 (d) 160

6. A shopkeeper sells 3 items X, Y and Z and incurs a loss of 24%, 13% and 8% respectively. The overall
2 7
loss % on selling X and Y items is 19 % and that of Y and Z items is 10 %. Find the overall loss %
7 9
on selling the 3 items.

(a) 13.8% (b) 15.18% (c) 16.40% (d) 17.27%

7. A shopkeeper sells 3 items X, Y and Z incurs a loss of 21%, 19% and 3% respectively. The overall loss
% on selling X and Y items is 20.66% and that of Y and Z items is 11%. Find the overall loss% on
selling three items.

(a) 13.12% (b) 16.16% (c) 18.14% (d) 19.27%

8. In what ratio must a person mix three kinds of tea costing Rs60/kg, Rs75/kg and Rs100/kg so that the
resultant mixture when sold at Rs96/kg yields a profit of 20%?

(a) 1 : 2 : 4 (b) 1 : 4 : 2 (c) 3 : 7 : 6 (d) 2 : 4 : 5

9. An army of 12,000 consists of Europeans and Indians. The average height of Europeans is 70 inches
3
and that of an indian is 69 inches. The average height of the whole army is 69 inches. Find the
4
number of Indians in the army?

(a) 9000 (b) 3000 (c) 6000 (d) 8000

10. The average monthly salary of all the employees in a factory is Rs.8840. If the average salary of all the
officers is Rs.15000 and that of the remaining employees is Rs.8000 then what is the percentage of the
officers among the employees?

1
(a) 12% (b) 15% (c) 8 % (d) 16%
3

11. 2 varities of sugar are mixed in the proportion of 3:2 and the mixture is sold at Rs48/kg at a profit of
20%. If the 2nd variety of sugar cost Rs15 more than the 1st variety of sugar, then find the cost price of
1st variety of sugar?

(a) Rs24/kg (b) Rs25/kg (c) Rs34/kg (d) Rs49/kg

12. Different types of turmeric are found in every state of India. When 12kg of salem turmeric in Tamil
Nadu is mixed with 20 kg of sangli turmeric of Maharashtra then the selling price of the mixture is 44%
more than the cost price of sangli turmeric and earn 20% profit. Find out the ratio of the cost price of the
Salem turmeric with the sangli turmeric?

(a) 5 : 4 (b) 11 : 13 (c) 23 : 15 (d) 33 : 23

13. A person standing on the platform felt that the train coming from east crossed it in 29 sec and the train
coming from the west crossed it in 45 sec. If this train takes 34 sec to cross each other, find the ratio of
their speeds.

(a) 4 : 5 (b) 11 : 5 (c) 13 : 11 (d) 1 : 2

14. Three glasses of sizes 3L,4L and xl contain mixture of spirit and water in the ratio 2:3,3:7 and 4:11
respectively. All 3 glasses are poured into a single vessel. The ratio of spirit and water in resultant
mixture is 14:31 then the value of x is?

(a) 6 (b) 5 (c) 7 (d) 4

15. 8L solution is removed from a 20% milk solution and 8L of water is added to the solution. The resulting
solution has 16% milk in it. What was the initial quantity of the 20% milk solution?

(a) 40 L (b) 60 L (c) 48 L (d) 80 L

16. A milkman sells the milk by adding some water in it at 45 Rs./litre. If he had 48 ltr of mixture milk and
water with him then find quantity of water in it (pure milk costs 54 Rs./ltr)?

(a) 6 (b) 12 (c) 8 (d) 9

17. A milkman pays Rs.8/L of milk. He adds water and sells the mixer at Rs.9/L, thereby making 40%
profit. The proportion of water to milk received by the customer is?

(a) 45 : 11 (b) 11 : 45 (c) 12 : 45 (d) 45 : 12

18. An article of jewellery of 28 gm is made up of gold and silver. The cost of the article is Rs.8760. If the
weight of the two metals are changed with each other, the cost the article becomes Rs.1560 less. If the
cost of silver be Rs.90/gm, find the cost of gold/gm. Also find the weight of gold and silver in the
jewellery.

(a) Rs.480/ gm, 16 gm, 12 gm (b) Rs.480/gm, 12gm, 16gm

(c) Rs.570/gm, 16 gm, 12 gm (d) Rs.570/gm, 12 gm, 16 gm

19. Expenditure of a person is 50% more than his savings. If the income increases by 15% and his
expenditure also increases by 21%. If his savings increases by Rs 240. Find his initial income.

(a) 5000 (b) 4000 (c) 8000 (d) 10000

20. The expenditure of a person is 22% less than his saving. If his expenditure is increases by 20% but
saving also increases by 12%. If his income increases by Rs3864. Find his total initial expenditure.
 (a) 13000 (b) 10920 (c) 18200 (d) 11700

21. The saving of a person is 56% less than his expenditure. If his income increases by 20% but expenditure
also increases by 17.5%. If his saving is increased by Rs339. Find his total initial income.

(a) 4320 (b) 3000 (c) 7320 (d) 10000

22. The expenditure of a person is 60% more than his saving. If his saving increases by 24% but
expenditure decreased by 13%. If his income increases by Rs.1280. Find his total initial expenditure.

(a) 84000 (b) 64000 (c) 96000 (d) 40000

23. A man mixes 20% kerosene to the petrol he had and then sells the whole mixture at the price of petrol.
If the cost price of kerosene is 40% of the cost price of petrol. What is the net profit %?

(a) 9.09% (b) 11.11% (c) 12.5% (d) 10%

24. A, B and C are 3 solutions of milk and water with milk concentration 10%, x% & x2% respectively. If
A and B are mixed is some ratio m : n, we get a solution with 6% concentration while A and C are
mixed in the same ratio m:n, we get a solution with 14% concentration. What is the value of x?

1 2
(a) 5 (b) 4 (c) 3 (d) 4
3 3

25. Two vessel of capacity 9ltr and 6ltr having acid of different concentration. Same quantity of mixture is
drawn off from each vessel and put into each other now the concentration of acid in both vessels is
same. Find the quantity of same drawn off mixture from each vessel.

(a) 5L (b) 3.6L (c) 3L (d) 7.5L

26. Half of the volume of petrol and kerosene mixture of ratio 7 : 5 is converted into a mixture of ratio 3 : 1
by the substitution (or replacement) method. While the mixture of ratio 7 : 5 was formed from the
mixture 7 : 3 by adding the kerosene in it. If 240L petrol is required in the replacement method. What is
the total amount of kerosene was added to prepare the mixture of 7 : 5?

(a) 100L (b) 400L (c) 50L (d) 200L