123 + Mcqs in Alligation or Mixture in Aptitude Page 1 McqOptions

1.	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

2.	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

3.	640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ?
A.	310 ml
B.	320 ml
C.	330 ml
D.	340 ml
E.	325 ml
Answer» C. 330 ml

Discussion

4.	A mixture of 20 kg of spirit and water contains 10 % water. How much water must be added to this mixture to raise the percentage of water to 25 % ?
A.	4 kg
B.	5 kg
C.	8 kg
D.	30 kg
Answer» B. 5 kg

Discussion

5.	A person bought 60 quintals of rice of two different sorts for Rs. 4642 50. The better sort costs Rs. 80 per quintal and the worse Rs. 75 50 per quintal. How many quintals were there of each sort ?
A.	25 quintals, 35 quintals
B.	20 quintals, 40 quintals
C.	32 quintals, 28 quintals
D.	None of these
Answer» B. 20 quintals, 40 quintals

Discussion

6.	A petrol pump owner mixed leaded and unleaded petrol in such a way that the mixture contains 10 % unleaded petrol. What quantity of leaded petrol should be added to 1 liter mixtures, so that the percentage of unleaded petrol becomes 5 % ?
A.	1000 ml
B.	900 ml
C.	1900 ml
D.	1800 ml
Answer» B. 900 ml

Discussion

7.	From a vessel filled with alcohol 1/5 of its contents is removed and the vessel is then filled up with water. If this be done 5 times in succession, what proportion of the alcohol originally contained in the vessel will have been removed from it ?
A.	None of these
Answer» C.

Discussion

8.	729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in ratio 7 : 3 ?
A.	600 ml
B.	710 ml
C.	520 ml
D.	None of these
Answer» E.

Discussion

9.	Currants at Rs. 50 per kg are mixed with currants at Rs. 90 per kg to make a mixture of 17 kg worth Rs. 70 per kg. How many kilograms of each are taken ?
A.	8 kg, 9 kg
B.	7 kg, 10 kg
C.	None of these
Answer» C. None of these

Discussion

10.	A solution of sugar syrup has 15 % sugar. Another solution has 5 % sugar. How many liter of the second solution must be added to 20 liters of the first solution to make a solution of 10 % sugar ?
A.	10
B.	5
C.	15
D.	20
Answer» E.

Discussion

11.	Two casks of 48 and 42 liters are filled with mixture of wine and water13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 liters of water added to the whole what will be the proportion of wine to water in the result?
A.	13 : 12
B.	12 : 13
C.	21 : 31
D.	31 : 21
Answer» C. 21 : 31

Discussion

12.	A merchant has 50 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.	20 kg
B.	30 kg
C.	15 kg
D.	35 kg
Answer» C. 15 kg

Discussion

13.	In what proportion must wheat at Rs. 1 60 per kg be mixed with wheat at Rs. 1 45 per kg. So that the mixture be worth Rs. 1 54 per kg?
A.	2 : 3
B.	3 : 2
C.	3 : 4
D.	4 : 3
Answer» C. 3 : 4

Discussion

14.	The ratio of milk and water in 66 kg of adulterated milk is 5 : 1. Water is added to it to make the ratio 5 : 3. The quantity of water added is
A.	22 kg
B.	24 750 kg
C.	16 500 kg
D.	20 kg
Answer» B. 24 750 kg

Discussion

15.	Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures 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
Answer» D. 7 : 3

Discussion

16.	The cost of type - I rice is Rs. 15 per kg and type - II is Rs. 20 per kg. If both type - I and type - II are mixed in the ratio of 2 : 3, then find the price per kg of the mixed variety.
A.	19.50
B.	19
C.	18.50
D.	18
Answer» E.

Discussion

17.	In what ratio of water be mixed with milk to gain 16²/₃% on selling the mixture at cost price?
A.	4 : 3
B.	2 : 3
C.	6 : 1
D.	1 : 6
Answer» E.

Discussion

18.	729 ml. of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in ratio 7 : 3 ?
A.	600 ml
B.	710 ml
C.	520 ml
D.	None of these
Answer» E.

Discussion

19.	In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is
A.	20 litres
B.	30 litres
C.	40 litres
D.	60 litres
Answer» E.

Discussion

20.	A can contains a mixture of 2 liquids A and B in proportion 7 : 5 when 9 liters of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially ?
A.	25
B.	10
C.	20
D.	21
Answer» E.

Discussion

21.	15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be
A.	17
B.	15
Answer» C.

Discussion

22.	A milk seller pays Rs. 500 per kiloliter for his milk. He adds water to it and sells the mixture at 56 P a liter, thereby making altogether 40 % profit. Find the proportion of water to milk which his customers receive ?
A.	1 : 4
B.	2 : 3
C.	1 : 5
D.	4 : 1
Answer» B. 2 : 3

Discussion

23.	How many bananas at 5 for Re. 1 20 should be mixed with 300 bananas at 6 for Rs. 2 10, so that they should all be worth Rs. 3 60 a dozen ?
A.	350
B.	280
C.	320
D.	250
Answer» E.

Discussion

24.	Fresh fruit contains 72 % water and dry fruits contains 20 % water. How much dry fruit from 100 kg of fresh fruit can be obtained ?
A.	32 kg
B.	33 kg
C.	30 kg
D.	35 kg
Answer» E.

Discussion

25.	Rs. 1000 is lent out in two parts, one at 6 % simple interest and the other at 8 % simple interest. The yearly income is Rs. 75. The sum lent at 8 % is
A.	Rs. 250
B.	Rs. 500
C.	Rs. 750
D.	Rs. 600
Answer» D. Rs. 600

Discussion

26.	A man has whisky worth Rs. 22 a liter and another lot worth Rs. 18 a liter. Equal quantities of these are mixed with water to obtain a mixture of 50 liters worth Rs. 16 a liter. Find how much water the mixture contains ?
A.	5 litre
B.	10 litre
C.	15 litre
D.	20 litre
Answer» C. 15 litre

Discussion

27.	A man buys milk at Rs. 5 a litre and mixes it with water. By selling the mixture at Rs. 4 a litre he gains 12¹/₂ % on his outlay. How much water did each litre of the mixture contain ?
A.	None of these
Answer» C.

Discussion

28.	3 glasses of capacity 2 liters, 5 liters and 9 liters contain mixture of milk and water with milk concentrations 90 %, 80 % and 70 % respectively. The contents of 3 glasses are emptied into a large vessel. Find the milk concentration and ratio of milk to water in the resultant mixture
A.	121 : 39
B.	131 : 49
C.	39 : 121
D.	49 : 131
Answer» B. 131 : 49

Discussion

29.	In what proportion should water and wine at Rs. 22 50 a liter be mixed to reduce the price to Rs. 18 a liter ?
A.	1 : 4
B.	4 : 1
C.	2 : 3
D.	3 : 2
Answer» B. 4 : 1

Discussion

30.	In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is
A.	20 litres
B.	30 litres
C.	40 litres
D.	60 litres
Answer» E.

Discussion

31.	4 vessels of equal sizes contains mixture of spirit and water. The concentration of spirit in 4 vessels are 60 %, 70 %, 75 % and 80 % respectively. If all the 4 mixtures are mixed, find in the resultant mixture the ratio of spirit to water
A.	57 : 13
B.	23 : 57
C.	57 : 23
D.	None of these
Answer» D. None of these

Discussion

32.	How much chicory at Rs. 24 a kg should be added to 15 kg of tea at Rs. 60 a kg as to make the mixture worth Rs. 39 a kg ?
A.	21 kg
B.	20 kg
C.	27 kg
D.	18 kg
Answer» B. 20 kg

Discussion

33.	A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is
A.	16
B.	34
C.	14
D.	36
Answer» C. 14

Discussion

34.	Some amount out of Rs. 7000 was lent at 6 % p.a. and the remaining at 4 % p. a. If the total simple interest from both the fractions in 5 years was Rs. 1600, the sum lent at 6 % p. a. was
A.	Rs. 2000
B.	Rs. 5000
C.	Rs. 3500
D.	None of these
Answer» B. Rs. 5000

Discussion

35.	Sugar at Rs. 15 per kg is mixed with sugar at Rs. 20 per kg in the ratio 2 : 3. Find the price per kg of the mixture
A.	Rs. 18
B.	Rs. 16
C.	Rs. 17
D.	Rs. 19
Answer» B. Rs. 16

Discussion

36.	Kantilal mixes 80 kg of sugar worth of Rs. 6 75 per kg with 120 kg worth of Rs. 8 per kg. At what rate shall he sell the mixture to gain 20 % ?
A.	Rs. 7 50
B.	Rs. 9
C.	Rs. 8 20
D.	Rs. 8 85
Answer» C. Rs. 8 20

Discussion

37.	A grocer buys two kind of rice at Rs. 1 80 and Rs. 1 20 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 1 75 per kg, 25 % may be gained ?
A.	2 : 1
B.	3 : 2
C.	3 : 4
D.	1 : 2
Answer» E.

Discussion

38.	15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be
A.	17
B.	15
Answer» C.

Discussion

39.	A dishonest milkman professes to sell his milk at C. P. But he mixes it with water and thereby gains 25 %. The % of water in the mixture is
A.	25%
B.	20%
C.	4%
D.	None of these
Answer» C. 4%

Discussion

40.

In what ratio must a grocer mix sugar at 72 paise per kg with sugar at 48 paise per kg. So that by selling the mixture at
63 paise per kg he may gain 1 of his out-lay ?
6

A.

1 : 3

B.

3 : 1

C.

2 : 3

D.

3 : 2

Answer» B. 3 : 1

Discussion

41.	Two solution of 90% and 97% purity and mixed resulting in 21 liters of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?
A.	15 litres
B.	12 litres
C.	9 litres
D.	6 litres
Answer» D. 6 litres

Discussion

42.	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

43.	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

44.	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

45.	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.	<table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">3</td> </tr> </tbody></table>
B.	<table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">4</td> </tr> </tbody></table>
C.	<table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">5</td> </tr> </tbody></table>
D.	<table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">7</td> </tr> </tbody></table>
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Discussion

46.	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

47.	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

48.	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

49.	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

50.	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

Explore topic-wise MCQs in Aptitude.

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

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

640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ?

A mixture of 20 kg of spirit and water contains 10 % water. How much water must be added to this mixture to raise the percentage of water to 25 % ?

A person bought 60 quintals of rice of two different sorts for Rs. 4642 50. The better sort costs Rs. 80 per quintal and the worse Rs. 75 50 per quintal. How many quintals were there of each sort ?

A petrol pump owner mixed leaded and unleaded petrol in such a way that the mixture contains 10 % unleaded petrol. What quantity of leaded petrol should be added to 1 liter mixtures, so that the percentage of unleaded petrol becomes 5 % ?

From a vessel filled with alcohol 1/5 of its contents is removed and the vessel is then filled up with water. If this be done 5 times in succession, what proportion of the alcohol originally contained in the vessel will have been removed from it ?

729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in ratio 7 : 3 ?

Currants at Rs. 50 per kg are mixed with currants at Rs. 90 per kg to make a mixture of 17 kg worth Rs. 70 per kg. How many kilograms of each are taken ?

A solution of sugar syrup has 15 % sugar. Another solution has 5 % sugar. How many liter of the second solution must be added to 20 liters of the first solution to make a solution of 10 % sugar ?

Two casks of 48 and 42 liters are filled with mixture of wine and water13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 liters of water added to the whole what will be the proportion of wine to water in the result?

A merchant has 50 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

In what proportion must wheat at Rs. 1 60 per kg be mixed with wheat at Rs. 1 45 per kg. So that the mixture be worth Rs. 1 54 per kg?

The ratio of milk and water in 66 kg of adulterated milk is 5 : 1. Water is added to it to make the ratio 5 : 3. The quantity of water added is

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

The cost of type - I rice is Rs. 15 per kg and type - II is Rs. 20 per kg. If both type - I and type - II are mixed in the ratio of 2 : 3, then find the price per kg of the mixed variety.

In what ratio of water be mixed with milk to gain 16 2/3 % on selling the mixture at cost price?

729 ml. of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in ratio 7 : 3 ?

In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is

A can contains a mixture of 2 liquids A and B in proportion 7 : 5 when 9 liters of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially ?

15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be

A milk seller pays Rs. 500 per kiloliter for his milk. He adds water to it and sells the mixture at 56 P a liter, thereby making altogether 40 % profit. Find the proportion of water to milk which his customers receive ?

How many bananas at 5 for Re. 1 20 should be mixed with 300 bananas at 6 for Rs. 2 10, so that they should all be worth Rs. 3 60 a dozen ?

Fresh fruit contains 72 % water and dry fruits contains 20 % water. How much dry fruit from 100 kg of fresh fruit can be obtained ?

Rs. 1000 is lent out in two parts, one at 6 % simple interest and the other at 8 % simple interest. The yearly income is Rs. 75. The sum lent at 8 % is

A man has whisky worth Rs. 22 a liter and another lot worth Rs. 18 a liter. Equal quantities of these are mixed with water to obtain a mixture of 50 liters worth Rs. 16 a liter. Find how much water the mixture contains ?

A man buys milk at Rs. 5 a litre and mixes it with water. By selling the mixture at Rs. 4 a litre he gains 121/2 % on his outlay. How much water did each litre of the mixture contain ?

3 glasses of capacity 2 liters, 5 liters and 9 liters contain mixture of milk and water with milk concentrations 90 %, 80 % and 70 % respectively. The contents of 3 glasses are emptied into a large vessel. Find the milk concentration and ratio of milk to water in the resultant mixture

In what proportion should water and wine at Rs. 22 50 a liter be mixed to reduce the price to Rs. 18 a liter ?

In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added is

4 vessels of equal sizes contains mixture of spirit and water. The concentration of spirit in 4 vessels are 60 %, 70 %, 75 % and 80 % respectively. If all the 4 mixtures are mixed, find in the resultant mixture the ratio of spirit to water

How much chicory at Rs. 24 a kg should be added to 15 kg of tea at Rs. 60 a kg as to make the mixture worth Rs. 39 a kg ?

A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is

Some amount out of Rs. 7000 was lent at 6 % p.a. and the remaining at 4 % p. a. If the total simple interest from both the fractions in 5 years was Rs. 1600, the sum lent at 6 % p. a. was

Sugar at Rs. 15 per kg is mixed with sugar at Rs. 20 per kg in the ratio 2 : 3. Find the price per kg of the mixture

Kantilal mixes 80 kg of sugar worth of Rs. 6 75 per kg with 120 kg worth of Rs. 8 per kg. At what rate shall he sell the mixture to gain 20 % ?

A grocer buys two kind of rice at Rs. 1 80 and Rs. 1 20 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs. 1 75 per kg, 25 % may be gained ?

15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be

A dishonest milkman professes to sell his milk at C. P. But he mixes it with water and thereby gains 25 %. The % of water in the mixture is

In what ratio must a grocer mix sugar at 72 paise per kg with sugar at 48 paise per kg. So that by selling the mixture at 63 paise per kg he may gain1of his out-lay ?6

Two solution of 90% and 97% purity and mixed resulting in 21 liters of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?

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

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 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?

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?

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:

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 of water be mixed with milk to gain 16²/₃% on selling the mixture at cost price?

A man buys milk at Rs. 5 a litre and mixes it with water. By selling the mixture at Rs. 4 a litre he gains 12¹/₂ % on his outlay. How much water did each litre of the mixture contain ?

In what ratio must a grocer mix sugar at 72 paise per kg with sugar at 48 paise per kg. So that by selling the mixture at
63 paise per kg he may gain 1 of his out-lay ?
6