3. Two vessel contain milk and water in the ratio 9:7 and 5:11 . If the both vessel are mixed
in ratio of 1:1. Find the ratio of milk and water in new mixture?
1)1:3 2)8:9 3)7:9 4)9:7
Question 1
4. Two vessel contain Zinc Copper and Tin in the ratio 3:8:6 and 9:5:3. If the both vessel are
mixed in ratio of 1:1. Find the ratio of Zinc and Copper and tin in new mixture?
1)12:13:9 2)12:9:3 3)13:2:5 4)11:12:13
Question 2
5. Two vessel contain milk water in the ratio 2:3 and 3:5. If both vessel are mixed in ratio
3:4. Find the ratio of milk and water in new mixture?
1)27:43 2)25:23 3)19:37 4)23:27
Question 3
6. Alloy A contains copper and zinc in the ratio of 4:3 and alloy B contains copper and zinc
in the ratio of 5:2. A and Bare taken in the ratio of 5:6 and melted to form a new alloy.
The percentage of zinc in the new alloy is closest to?
1) 48 2) 54 3) 28 4) 35
Question 4
7. The ratio of spirit and water in two mixtures of 20 litre and 36 litre is 3 : 7 and 7: 5
respectively. Both the mixtures are mixed together. Now the ratio of the spirit and
water in the new mixture is?
1) 25 : 29 2) 9 : 10 3) 27 : 29 4) 27 : 31
Question 5
8. There are three containers of equal capacity. The ratio of Sulphuric acid to water in the
first container is 3 : 2, that in the second container is 7: 3 and in the third container it is
11 : 4. If all the liquids are mixed together, then the ratio of Sulphuric acid to water in
the mixture will be?
1) 61 : 29 2) 61 : 28 3) 60 : 29 4) 59 : 29
Question 6
9. Three containers have their volumes in the ratio 3: 4: 5. They are full of mixtures of milk
and water. The mixtures contain milk and water in the ratio of (4: 1), (3: 1) and (5: 2)
respectively. The contents of all these three containers are poured into a fourth
container. The ratio of milk and water in the fourth container is?
1)4:1 2)151:48 3)157:53 4)5:2
Question 7
10. There are 3 mixtures 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 12.4ltr of 1st mixture , 15.5ltr of 2nd mixture and 9.3ltr of 3rd mixture are mixed
together then find the ratio of milk and water in new mixture?
1)7:6 2) 7:9 3)9:7 4)11:5
Question 8
11. Three vessels whose capacities are as 3:2:1 are completely filled with milk mixed with
water. The ratio of milk to water in the mixture of vessels are as 5:2, 4:1 and 4:1
respectively. Find the % of water in the new mixture obtained when 33.33% of 1st ,
50% of 2nd and 14.28% of the 3rd vessel is taken out and mixed together?
1) 24% 2) 28% 3) 27% 4) 25%
Question 9
12. 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 ratios, 3 : 2, 5 : 1 and 7: 2 respectively. What is the ratio of total
quantity of milk to that of water carried by him?
1) 7 : 2 2) 31 : 12 3) 35 : 9 4) 5 : 2
Question 10
13. Model -2
The ratio of milk and water in 66 lt mixture is 5:6. If 12 ltr of milk and 6 ltr water is
added, then ratio of milk and water in the mixture?
1)1:2 2)1:3 3)1:1 4)1:5
Question 11
14. The milk and water in a mixture are in the ratio 7: 5. When 15 litres of water are added
to it, the ratio of milk and water in the new mixture becomes 7:8. The total quantity of
water in the new mixture is?
1) 35 litres 2) 40 litres 3) 60 litres 4) 96 litres
Question 12
15. In 30 litres mixture of acid, the ratio of acid and water is 2:3. What amount of water
should be added to the mixture so that the ratio of acid and water becomes 2:5?
1) 10 litres 2) 15 litres 3) 18 litres 4) 12 litres
Question 13
16. In a mixture of 60 litres, the ratio of milk and water is 2:1. How much more water must
be added to make its ratio 1:2?
1) 40 litres 2) 52 litres 3) 54 litres 4) 60 litres
Question 14
17. In 40 liters of a mixture the ratio of milk to water is 7:1. In order to make the ratio of
milk to water as 3:1, the quantity of water that should be added to the mixture will be?
1)5 2/3 ltr 2) 4 1/3 ltr 3) 6 2/3 ltr 4) 6 ltr
Question 15
18. A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the
mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is?
1) 3 litres 2) 4 litres 3) 15 litres 4) 10 litres
Question 16
19. The ratio of milk and water in a vessel is 4:7. If 25 ltr water is added then ratio becomes
6:13. find the initial quantity of mixture(in ltr)?
1) 150 2) 132 3) 165 4) 175
Question 17
20. An alloy contains copper, zinc and nickel in the ratio of 5 : 3 : 2. The quantity of nickel (in
kg) that must be added to 100 kg of this alloy to have the new ratio 5: 3 : 3 is?
1) 8 2) 10 3) 12 4) 15
Question 18
21. The ratio of milk and water in a pot is 3:4. if we added 12 ltr milk and 12 ltr water then
ratio becomes 5:6. How much quantity of total mixture was present initially?
1) 56 ltr 2) 21 ltr 3) 35 ltr 4) 42 ltr
Question 19
22. The ratio of milk and water in a vessel is 8:5 if we added 44 ltr milk and 44 ltr water then
quantity of milk becomes 28.56% more than water. Find the initial quantity of water?
1)48 ltr 2)45 ltr 3)40 ltr 4)60 ltr
Question 20
23. 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?
1) 1ltr 2)1.5ltr 3)1.25ltr 4)1.15ltr
Question 21
24. In a mixture of 90 ltr, the ratio of milk and water is 8:7. If some amount of the mixture is
removed in which 7ltr was water and 1 ltr of water is added afterwards into the
remaining mixture, then find the new ratio of milk: water?
1)10:9 2) 9:11 3) 8:9 4) 9:7
Question 22
25. A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is
added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the
value of x?
1) 3 2) 1 3) 2 4) 4
Question 23
26. When 1 ltr water is added to a mixture of milk and water, the new mixture contains 25%
milk when 2 ltr milk is added to the new mixture, the resultant mixture contains 40%
milk. What is the % of milk in the original mixture?
1) 33.33% 2) 50% 3) 28.56% 4) 30%
Question 24
27. Model 3
A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 liters of mixture
is drawn of and replaced with liquid B, The ratio of A and B becomes 7:9. What was the
initial quantity of liquid A in the can?
1)13ltr 2)27ltr 3)21ltr 4)44 ltr
Question 25
28. The ratio of milk and water in a vessel is 9:7. if 32 ltr of mixture is taken out and 32 ltr of
water is added then ratio of milk and water becomes 1:1.then find quantity of milk in
initial mixture?
1)184 ltr 2)164 ltr 3)162 ltr 4)150 ltr
Question 26
29. 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 new
mixture?
1) 273 ltr 2) 321 ltr 3)295 ltr 4) 299 ltr
Question 27
30. Model 4
A vessel contains 20 litres of acid. 4 litres of acid is taken out of the vessel and replaced
by the same quantity of water. Next 4 litres of the mixture are with drawn, and again the
vessel is filled with the same quantity of water, find the ratio of acid left in the vessel
with the quantity of acid initially in the vessel is?
1) 4 : 5 2) 4 : 25 3) 16 : 25 4) 1 : 5
Question 28
31. There is 81 litres pure milk in a container. One-third of milk is replaced by water in the
container. Again one-third of mixture is extracted and equal amount of water is added.
What is the ratio of milk to water in the new mixture?
1) 1 : 2 2) 1 : 1 3) 2 : 1 4) 4 : 5
Question 29
32. A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with
water. 20 litres of this mixture is again removed and replaced with water. How much
water (in litres) is present in this drum now?
1) 45 2) 40 3) 35 4) 44
Question 30
33. A Jar was full of milk. A person used to draw out 26 2/3 % 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 3L 993ml 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?
1) 6.750L 2) 12.250L 3) 10.125L 4) 8.750L
Question 31
34. 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?
1) 35.2 2) 30.3 3) 40.5 4) 25.4
Question 32
35. 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?
1) 37.5L 2) 52.4L 3) 42.2L 4) 27.6L
Question 33
37. In what ratio should you mix two varieties of sugar costing Rs.30 per kg and Rs.40 per kg
to get the resultant sugar of cost Rs.33 per kg?
1.7:3 2.2:3 3.7:2 4.1:3
Question 34
38. Find the ratio in which rice at Rs.72 per kg be mixed with rice at Rs. 57 per kg to produce
a mixture worth Rs.63 per kg?
1. 4: 3 2. 5: 4 3. 2: 3 4. 3: 1
Question 35
39. The average height of girls is 156 cm and that of boys is 174 cm, if the average height of
all the class is 160 cm, calculate the ratio of boys and girls in the class?
1. 7:2 2. 2:3 3. 2:7 4. 1:3
Question 36
40. 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?
1. 2 : 5 2. 1 : 5 3. 2 : 3 4. 2 : 1
Question 37
41. John has a solution which has 60% concentrated sulphuric acid and rest water. Jean's
solution contains 90% water and rest is sulphuric acid. They both mix their solutions the
resultant concentration of sulphuric acid is 40%. Calculate the ratio in which John &
Jean's the solution was mixed?
1.2:3 2.3:2 3.7:2 4.1:3
Question 38
42. 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. 12% 2. 15% 3. 18% 4. 16%
Question 39
43. 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?
1. 70 2. 85 3. 75 4. 80
Question 40
44. In a class of boys and girls, average weight is 38 kg. Average weight of the boys is 42 kg
and average weight of the girls is 33 kg. If there is 25 boys in the class, then how many
girls are there in class?
1. 30 2. 40 3. 20 4. 15
Question 41
45. In a family of 8 adults and some minors, the average consumption of rice per head per
month is 10.8 kg, while the average consumption for adults is 15 kg per head and for
minors it is 6 kg per head. The number of minors in the family is?
1. 8 2. 6 3. 7 4. 9
Question 42
46. 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?
1. 55 kg 2. 30 kg 3. 35 kg 4. 40 kg
Question 43
47. The cost of Type 1 material is Rs.15 per kg and Type 2 material is Rs.20 per kg. If both
Type 1 and Type 2 are mixed in the ratio of 2:3, then what is the price per kg of the
mixed variety of material?
1. Rs.19 2. Rs.16 3. Rs.18 4. Rs.17
Question 44
48. Pure ghee costs Rs.100 per Kg. After adulterating it with vegetable oil costing Rs.50 per
Kg, a shopkeeper sells the mixture at the rate of Rs.96 per Kg, thereby making a profit of
20%. In what ratio does he mix the two?
1.3:2 2.2:3 3.7:2 4.1:3
Question 45
49. How many kilograms of Basmati rice costing Rs.44 per kg should a shopkeeper mix with
25 kilograms of ordinary rice costing Rs.32 per kg so that he makes a profit of 25% on
selling the mixture at Rs.45 per kg?
1. 10kg 2. 15kg 3. 12.5kg 4.20kg
Question 46
50. 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?
1. 76 kg 2. 75 kg 3. 74 kg 4. 70 kg
Question 47
51. In two alloys, the ratio of zinc: tin are 2:3 and 3:2 respectively. In what ratio must the two
alloys be mixed so as to Form a new alloy with Tin: Zinc in ratio 11: 9?
1.3:1 2.2:3 3.7:2 4.1:3
Question 48
52. Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3. The ratio in
which these mixtures be mixed to form a new mixture containing half milk and half
water is?
1. 7:5 2. 6:5 3. 5:6 4. 4:3
Question 49
53. 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 ratio 8: 5?
1.3:4 2.4:3 3.4:7 4.7:9
Question 50
