34 + Mcqs in Mixtures and Alligation in General Aptitude Page 1 McqOptions

1.	A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
A.	400 kg
B.	560 kg
C.	600 kg
D.	640 kg
Answer» D. 640 kg

Discussion

2.	A dishonest milkman professes 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.	0.04
B.	0.06
C.	0.2
D.	0.25
Answer» D. 0.25

Discussion

3.	A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
A.	400 kg
B.	560 kg
C.	600 kg
D.	640 kg
Answer» D. 640 kg

Discussion

4.	8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
A.	18 litres
B.	24 litres
C.	32 litres
D.	42 litres
Answer» C. 32 litres

Discussion

5.	The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
A.	Rs. 18
B.	Rs. 18.50
C.	Rs. 19
D.	Rs. 19.50
Answer» B. Rs. 18.50

Discussion

6.	In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A.	3 : 2
B.	3 : 4
C.	3 : 5
D.	4 : 5
Answer» B. 3 : 4

Discussion

7.	Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
A.	1 : 3
B.	2 : 3
C.	3 : 4
D.	4 : 5
Answer» C. 3 : 4

Discussion

8.	In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?
A.	1 : 6
B.	6 : 1
C.	2 : 3
D.	4 : 3
Answer» B. 6 : 1

Discussion

9.	A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:
A.	1/3
B.	2/3
C.	2/5
D.	2/5
Answer» C. 2/5

Discussion

10.	A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
A.	26.34 litres
B.	27.36 litres
C.	28 litres
D.	29.16 litres
Answer» E.

Discussion

11.	How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
A.	36 kg
B.	42 kg
C.	54 kg
D.	63 kg
Answer» E.

Discussion

12.	In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
A.	3 : 7
B.	5 : 7
C.	7 : 3
D.	7 : 5
Answer» D. 7 : 5

Discussion

13.	A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
A.	4 litres, 8 litres
B.	6 litres, 6 litres
C.	5 litres, 7 litres
D.	7 litres, 5 litres
Answer» C. 5 litres, 7 litres

Discussion

14.	A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
A.	10
B.	20
C.	21
D.	25
Answer» D. 25

Discussion

15.	Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
A.	Rs. 169.50
B.	Rs. 170
C.	Rs. 175.50
D.	Rs. 180
Answer» D. Rs. 180

Discussion

16.	A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
A.	1/3
B.	1/4
C.	1/5
D.	1/7
Answer» D. 1/7

Discussion

17.	I want to sell my milk and water mixture at the cost price and still make a profit of 16.66%. In what ratio should water be mixed to the milk?
A.	2 : 3
B.	4 : 3
C.	1 : 6
D.	6 : 1
Answer» D. 6 : 1

Discussion

18.	100 L of one liquid is mixed with 180 L of another liquid. Now consider the following: i. Liquid 1 has liquids A and B in the ratio 3 : 7 ii. Liquid 2 has liquids A and B in the ratio 4 : 5 Find B : A in the new mixture.
A.	17:11
B.	25:31
C.	31:18
D.	31:11
Answer» B. 25:31

Discussion

19.	A restaurant prepares a mocktail by mixing three types of juices A, B and C in the ratio 4:3:5. It decides to change the recipe and 24 L of this mocktail is replaced by juice C. The ratio of juices in this new recipe is now 12 : 9 : 19. What is the initial quantity of the mocktail prepared?
A.	240 litre
B.	480 litre
C.	500 litre
D.	. 625 litre
Answer» B. 480 litre

Discussion

20.	A milkman makes his milk mixture by adding water to pure milk. He makes a mixture of 340 L milk with milk and water in the ratio 27:7. To meet the growing demand, he decides to further dilute the mixture with water. The new mixture has pure milk and water in the ratio 3:1. How much more water will he have to add to the previous mixture?
A.	10 litre
B.	15 litre
C.	20 litre
D.	24 litre
Answer» D. 24 litre

Discussion

21.	A chemical X is formed when two chemicals are mixed in the ratio 3:2 in a controlled environment. Now consider the following: i. The first chemical is a mix of two chemical A and B in the ratio 1:3. ii. The second chemical is a mix of same two chemicals A and B in the ratio 2:1. What is the ratio of chemical A and B in the final chemical X?
A.	7:11
B.	11:7
C.	8:15
D.	15:8
Answer» B. 11:7

Discussion

22.	Gold and Copper are mixed in different proportions to form two different alloys. Alloy 1 has them in the ratio 1:3 respectively while Alloy 2 has them in the ratio 2:5. In what ratio should Alloy 1 and Alloy 2 be mixed to form a mix which has Copper and Gold in the ratio 8:3?
A.	4:7
B.	5:7
C.	. 7:4
D.	7:5
Answer» B. 5:7

Discussion

23.	Two pitchers contain a mix of alcohol and water in the ratio 5:3 and 5:11 respectively. Equal quantity of mixture from both the pitchers is taken and added to a third pitcher. What is the ratio of alcohol and water in the mix contained in the third pitcher?
A.	13:15
B.	15:13
C.	15:17
D.	17:15
Answer» D. 17:15

Discussion

24.	A pitcher contains a mixture of alcohol and water. The percentage of alcohol in the mix is 18%. The bartender decides to replace 6 Litres of the mix with mineral water and the mix now contains 15% alcohol only. Find the capacity of the pitcher.
A.	25 Litres
B.	30 Litres
C.	36 Litres
D.	45 Litres
Answer» E.

Discussion

25.	A vessel carries a mixture of milk and water in the ration of 7:2. The milkman further wants to dilute this 729 L of mixture and make it in the ratio 7:3. How much water should he add to the mix?
A.	72.9 Litres
B.	75 Litres
C.	80 Litres
D.	81 Litres
Answer» C. 80 Litres

Discussion

26.	3 varieties of wheat were mixed at a warehouse. The rate of Type 1 wheat was Rs. 145/ Kg and rate of Type 2 wheat was Rs. 20 per kg more than Type 1. The quantities of 3 varieties of wheat were in the ratio 2:1:3 respectively. The mix was finally sold at the rate of Rs. 180 per kg. Find the price of 3rd type of wheat?
A.	Rs. 196.58
B.	Rs. 208.33
C.	Rs. 210
D.	Rs. 215.67
Answer» C. Rs. 210

Discussion

27.	Three vessels contain a milk mixture 30 litre each. When put in a big vessel, they result into a mixture of milk and water in the ratio 2:1. If the ratio is to be reversed to make it 1: 2, how much more water should be added to the mix?
A.	20L
B.	40L
C.	90L
D.	100L
Answer» D. 100L

Discussion

28.	A body massage oil mix contains 60 litres of Oil A with some litres of Oil B. The rate of Oil A is Rs. 32 per litre while the rate of Oil B is 9 Rs/litre less than Oil A. A shopkeeper sells this oil mix at Rs. 28/ litre. How much Oil B should be mixed in the mixture to ensure that there is no profit, no loss in the whole process?
A.	24 litres
B.	36 litres
C.	48 litres
D.	50 litres
Answer» D. 50 litres

Discussion

29.	The drink for children has juice and water in the ratio 5:2 while the drink for adults has them in ratio 7:4. If both the mixes are poured in a jug, find the final ratio of water to juice in the jug.
A.	8:35
B.	25:52
C.	35:8
D.	52:25
Answer» C. 35:8

Discussion

30.	In a mixture, sugar and jaggery granules are in the ratio 5:3. My mother empties a 16 kg jaggery granules’ bag in this mixture and the new ratio of sugar and jaggery granules becomes 5:7. Find the quantity of jaggery granules in the new mixture?
A.	21 kg
B.	28 kg
C.	35 kg
D.	42 kg
Answer» C. 35 kg

Discussion

31.	A vessel contains 40 litres of orange juice. 4 litres of orange juice in the vessel was replaced by water. This process was again repeated twice with the mixture. How much orange juice is there in the final mix?
A.	28 litre
B.	29.16 litre
C.	32 litre
D.	32.29 litre
Answer» C. 32 litre

Discussion

32.	An 80L solution of alcohol and water has 45% alcohol in it. If you want the mixture to be 75% alcohol, how much alcohol would you add to it?
A.	30 litres
B.	75 litres
C.	96 litres
D.	110 litres
Answer» D. 110 litres

Discussion

33.	While creating the fragrance mix, a shopkeeper mixes some amount of Jasmine essence with 240 litres water. The price of the mixture is Rs. 275/ litre. The price of Jasmine essence is Rs 325/ litre. What is the quantity of Jasmine essence in the mix?
A.	720 litres
B.	1000 litres
C.	1200 litres
D.	1320 litres
Answer» E.

Discussion

34.	A shopkeeper mixes two varieties of pulses with price Rs 420/ Kg and Rs 520/ Kg. The price of the mixture he gets is Rs 480/ Kg. Find the ratio of quantities of the two types of pulses to be mixed?
A.	2:3
B.	2:1
C.	1:3
D.	4:1
Answer» B. 2:1

Discussion

Explore topic-wise MCQs in General Aptitude.

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

A dishonest milkman professes 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 merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

In what ratio must water be mixed with milk to gain 16% on selling the mixture at cost price?

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

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

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

I want to sell my milk and water mixture at the cost price and still make a profit of 16.66%. In what ratio should water be mixed to the milk?

100 L of one liquid is mixed with 180 L of another liquid. Now consider the following: i. Liquid 1 has liquids A and B in the ratio 3 : 7 ii. Liquid 2 has liquids A and B in the ratio 4 : 5 Find B : A in the new mixture.

A restaurant prepares a mocktail by mixing three types of juices A, B and C in the ratio 4:3:5. It decides to change the recipe and 24 L of this mocktail is replaced by juice C. The ratio of juices in this new recipe is now 12 : 9 : 19. What is the initial quantity of the mocktail prepared?

Gold and Copper are mixed in different proportions to form two different alloys. Alloy 1 has them in the ratio 1:3 respectively while Alloy 2 has them in the ratio 2:5. In what ratio should Alloy 1 and Alloy 2 be mixed to form a mix which has Copper and Gold in the ratio 8:3?

Two pitchers contain a mix of alcohol and water in the ratio 5:3 and 5:11 respectively. Equal quantity of mixture from both the pitchers is taken and added to a third pitcher. What is the ratio of alcohol and water in the mix contained in the third pitcher?

A pitcher contains a mixture of alcohol and water. The percentage of alcohol in the mix is 18%. The bartender decides to replace 6 Litres of the mix with mineral water and the mix now contains 15% alcohol only. Find the capacity of the pitcher.

A vessel carries a mixture of milk and water in the ration of 7:2. The milkman further wants to dilute this 729 L of mixture and make it in the ratio 7:3. How much water should he add to the mix?

Three vessels contain a milk mixture 30 litre each. When put in a big vessel, they result into a mixture of milk and water in the ratio 2:1. If the ratio is to be reversed to make it 1: 2, how much more water should be added to the mix?

The drink for children has juice and water in the ratio 5:2 while the drink for adults has them in ratio 7:4. If both the mixes are poured in a jug, find the final ratio of water to juice in the jug.

In a mixture, sugar and jaggery granules are in the ratio 5:3. My mother empties a 16 kg jaggery granules’ bag in this mixture and the new ratio of sugar and jaggery granules becomes 5:7. Find the quantity of jaggery granules in the new mixture?

A vessel contains 40 litres of orange juice. 4 litres of orange juice in the vessel was replaced by water. This process was again repeated twice with the mixture. How much orange juice is there in the final mix?

An 80L solution of alcohol and water has 45% alcohol in it. If you want the mixture to be 75% alcohol, how much alcohol would you add to it?

While creating the fragrance mix, a shopkeeper mixes some amount of Jasmine essence with 240 litres water. The price of the mixture is Rs. 275/ litre. The price of Jasmine essence is Rs 325/ litre. What is the quantity of Jasmine essence in the mix?

A shopkeeper mixes two varieties of pulses with price Rs 420/ Kg and Rs 520/ Kg. The price of the mixture he gets is Rs 480/ Kg. Find the ratio of quantities of the two types of pulses to be mixed?