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1. Raju stole milk from a jar containing 30% milk. He replaced the stolen milk with milk containing 20% milk. Jar now contained 29% milk. Find the percentage of jar stoled by him?

2. Raman buys milk at Rs. 70/liter and mix it with water. Later he sells the mixture at the same rate. Doing this he gains 10%. What is the quantity of water mixed by him per liter of milk?

3. Mixture of worth Rs. 44/liter is formed after mixing two types of milk, one costing Rs. 40/liter and other costing Rs. 50/liter. Find the proportion in which they have been mixed.

4. In the Patna Zoo there are tigers and ducks. If we count the heads it is 72 in number and if legs are counted it is 168 in number. Find the number of tigers in the zoo.

5. Find the capacity of the vessel, if 10 litres of the mixture from the vessel consisting of chemical A and B in the ratio of 2 : 7 is removed and replaced with chemical A, thereby changing the ratio of A and B to 4 : 11?

6. The ratio of water and milk in the container is 5 : 4. When 20 litres of the mixture is taken out and replaced by milk, the ratio becomes 4 : 5. Find the volume of the container.

7. A mixture of water and milk contains 60% milk. In 60 litres of such mixture, how many litres of water is required to increase the percentage of water to 50%.

8. 600 gams mixture contains sand and cement in the ratio of 3 : 7, respectively. If 20 grams of sand and 80 grams of cement are added to the mixture, then calculate the ratio of cement to sand in the resultant mixture.

9. A mixture of milk and water is sold for Rs. 27.50 per litre making a profit of 25%. If the cost of pure milk is Rs. 24 per litre, find the ratio of water and milk in the mixture. (Assuming water is free of cost).

10. Water and milk is added in an empty container in the ratio of 2 : 15, respectively. If 14 more litres of water is added in the container, then the ratio of water to milk becomes 1 : 4, respectively. Find the amount of water mixed initially.

11. Mixture A contains lemon juice and water mixture in the ratio 4 : 7 and mixture B of equal quantity contains sprite and water mixture in the ratio 5 : 11. 25% of mixture A and 50% of mixture B are mixed to form a new mixture. Find the ratio of juice, water and sprite respectively.

12. 760 ml of mixture ‘A’ contains milk and water in the ratio of 12 : 7, respectively, while 500 ml of mixture ‘B’ contains milk and water in the ratio of 13 : 12, respectively. If 60% of mixture ‘A’ is mixed with 40% of mixture ‘B’ in a jar, then find the ratio of milk to water in the jar.

13. 250 litres of mixture contains 60% of milk and rest water. If milk and water are added in the mixture in the ratio of 1 : 2, respectively then ratio of milk and water in the final mixture becomes 9 : 8, respectively. Find the quantity of milk which is added in the mixture.

14. A grocer has two varieties of wheat, wheat A and wheat B costing Rs. 5 per kg and Rs. 6 per kg respectively. He sells the total mixture of wheat A and wheat B having 1050 kg of wheat A for Rs. 12600 with a profit margin of 20%. How much quantity of wheat B is present in the mixture sold?

15. 480 litres of mixture of milk and water containing 75% milk. What minimum quantity of water should be added to the mixture such that the percentage of water in the final mixture is in the range of 40-50%?

16. There are two alloys. Alloy P is made up of 50% gold, 20% silver and 30% bronze while Alloy Q contains only gold and silver. An alloy is formed by mixing these two alloys, in the resulting alloy concentration of gold is 50%, silver is 40% and bronze is 10%. Then what is the concentration of gold and silver in alloy Q?

17. Jar ‘A’ and ‘B’ contains mixture of salt and water such that quantity of salt in jars ‘A’ and ‘B’ is 40% and 66%, respectively. Some of the mixture is taken out from both jars and poured into an empty container. If the container now contains 260 litres of mixture such that ratio of quantity of salt and water in it is 13 : 12, respectively, then how much mixture was withdrawn from jar ‘A’?

18. A 324 litre mixture of milk, water and honey contains water and honey in the ratio 3 : 5, respectively and the quantity of milk in the mixture is 60 litres more than that of water. If 54 litres of the mixture is replaced with 12 litres of milk and 18 litres of water, then water would form how much percentage of the resultant mixture?

19. A packet of mother diary milk was found to be adulterated. It contains milk and water in ratio 7 : 5. If we take 9 litres of the mixture from the packet to mix the remaining mixture with 9 litres of water then the ratio becomes 7 : 9. Calculate how many litres of milk was in the packet initially?

20. Two jars ‘A’ and ‘B’ having equal capacities are completely filled with the solution containing ethanol as one component. Jar ‘A’ contains 12% ethanol while jar ‘B’ contains 47% ethanol. Some of the solution from the jar ‘A’ is withdrawn and replaced with same quantity of solution from jar ‘B’. If jar ‘A’ now contains 26% ethanol, then how much percent solution is left in jar ‘B’ now?

21. A man mixes two kinds of pulses and mixes them in a certain ratio. He buys the first kind of pulses at Rs. 22 per kg and second one at Rs. 16 per kg. How much quantity of the first kind should be mixed with 25 kg of the second kind so that he can gain a profit of 20% if he is selling the mixture at Rs. 24 per kg?

22. There are three bottles having capacities in the ratio 1 : 2 : 3 containing Appy Fizz and Water. Bottle 1 contains Appy Fizz and Water in the ratio of 2 : 3, Bottle 2 contains Appy Fizz and Water in the ratio of 4 : 7 and bottle 3 contains Appy Fizz and Water in the ratio of 1 : 2. What will be the ratio of Water and Appy Fizz when the contents of all the three bottles are mixed together?

23. (x + 32) litres of a mixture (milk + water) contains 84 litres milk such that if (x – 64) litres of the mixture is replaced with 4 litres of milk, then quantity of milk would be 60% of the resultant mixture. Find the value of ‘x’.

24. In a mixture of ‘x’ litres, the quantity of milk is 20% more than the quantity of water. In another mixture of 180 litres, the quantity of water is 50% more than the quantity of milk. After mixing both the mixture, the ratio of the milk to water becomes 10 : 11, find the value of x.

25. A 100 litres solution of chemical A and B containing x% of chemical A is mixed with another 100 litres solution of chemical A and B (70% content chemical A) to get the resultant mixture such that chemical A and B is in the ratio 2 : 1. Find x.

26. There are two mixtures ‘A’ and ‘B’ of quantity 660 litres and 840 litres respectively. Each of them contains acetone and water only. The ratio of acetone in mixture ‘A’ to that in mixture ‘B’ is 4 : 5. The quantity of water in mixture ‘A’ is 120 litres less than that in ‘B’. The quantity of water in mixture ‘B’ is how much percent more/less than that of the acetone in it.

27. A (x + 18) litre mixture of only milk and water contains 24 litres more water than milk. If (x – 87) litres of the mixture was replaced with 3 litres of water, then the quantity of water would become 40% more than that of milk. Find the value of ‘x’.

28. 750 ml of mixture contains milk and water in the ratio of 8 : 7 respectively. If 40% of the mixture is taken out, and x ml of milk and (x – 75) ml of water is added into the remaining mixture such that the ratio of milk to water in the resultant mixture becomes 11 : 8. Find the value of ‘x’.

29. There are two types of container A and B and the quantity of mixture in container B is double of the quantity of mixture in container A. The ratio of the milk to water in container A and B is 5 : 3 and 3 : 2 respectively. If 40% mixture of container A is mixed with the 50% mixture of the container B, then find the ratio of milk to water in the resultant mixture.

30. Adarsh has 240 liters of acetone and 150 litres of water in two separate containers. He took out 75% of acetone and 40% water and mixed them in a tank which contains mixture of acetone and water in the ratio 3 : 2, respectively such that the ratio of acetone to water in the resultant mixture becomes 12 : 5. Find the total quantity of acetone in the resultant mixture.

## Answer Key

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(a) 10%

(b) 12%

(c) 14%

(d) 15%

(a) 0.5 liter

(b) 0.25 liter

(c) 0.1 liter

(d) 0.01 liter

(a) 1 : 3

(b) 3 : 5

(c) 3 : 4

(d) 3 : 2

(a) 10

(b) 12

(c) 18

(d) Can’t be determined

(a) 190

(b) 175

(c) 185

(d) 165

(a) 80

(b) 100

(c) 120

(d) 150

(a) 15

(b) 12

(c) 20

(d) 18

(a) 4 : 1

(b) 5 : 2

(c) 3 : 4

(d) 5 : 6

(a) 11 : 1

(b) 5 : 2

(c) 2 : 10

(d) 1 : 11

(a) 16 litres

(b) 12 litres

(c) 18 litres

(d) 20 litres

(a) 16 : 63 : 121

(b) 32 : 114 : 117

(c) 32 : 177 : 55

(d) 21 : 152 : 97

(a) 49 : 33

(b) 29 : 13

(c) 39 : 23

(d) 59 : 23

(a) 15 litres

(b) 30 litres

(c) 35 litres

(d) 60 litres

(a) 725 kg

(b) 800 kg

(c) 700 kg

(d) 875 kg

(a) 80 litres

(b) 120 litres

(c) 160 litres

(d) 200 litres

(a) 60% and 40%

(b) 40% and 60%

(c) 55% and 45%

(d) None of these

(a) 140 litres

(b) 160 litres

(c) 100 litres

(d) 120 litres

(a) 24%

(b) 20%

(c) 26%

(d) 32%

(a) 14 litres

(b) 15 litres

(c) 18 litres

(d) 21 litres

(a) 60%

(b) 50%

(c) 40%

(d) 80%

(a) 45 kg

(b) 50 kg

(c) 55 kg

(d) 60 kg

(a) 39/71

(b) 34/71

(c) 39/110

(d) 71/39

(a) 124

(b) 110

(c) 112

(d) 118

(a) 198 litres

(b) 192 litres

(c) 200 litres

(d) 208 litres

(a) 65

(b) 63.3

(c) 61.7

(d) None of these

(a) 60%

(b) 80%

(c) 45%

(d) 50%

(a) 140

(b) 210

(c) 150

(d) 180

(a) 175

(b) 145

(c) 125

(d) 165

(a) 5 : 7

(b) 17 : 11

(c) 9 : 10

(d) 7 : 11

(a) 190 litres

(b) 200 litres

(c) 240 litres

(d) 250 litres

1. ( a )

2. ( c )

3 . ( d )

4. ( b )

5 . ( b )

6 . ( b )

7. ( b )

8. ( b )

9. ( d )

10. ( a )

11. ( c )

12 . ( a )

13. ( b )

14. ( d )

15. ( b )

16. ( d )

17. ( a )

18. ( c )

19. ( d )

20 . ( a )

21 . ( b )

22. ( d )

23. ( c )

24. ( a )

25. ( b )

26. ( b )

27 . ( c )

28. ( b )

29. ( b )

30. ( c )

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