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MIXTURE AND ALLIGATION

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Q1. In what ratio must water be Q4.How many kilogram of sugar

mixed with milk to gain 16% on costing Rs. 9 per kg must be mixed
selling the mixture at cost price? with 27 kg of sugar costing Rs. 7 per
kg so that there may be a gain of
(a) 1:6
10% by selling the mixture at Rs.
(b) 4: 25
9.24 per kg?
(c) 2:3
(d) 4:3 (a) 36 kg
(b) 42 kg
(c) 54 kg
Q2.In what ratio must a grocer mix (d) 63 kg
two varieties of tea worth Rs. 58 per
Q5.A container contains 50 litres of
kg and Rs. 67 per kg so that by
milk. From this container 5 litres of
selling the mixture at Rs. 68.20 per
milk was taken out and replaced by
kg he may gain 10%?
water. This process was repeated
(a) 3:2 further two times. How much milk is
(b) 3:4 now contained by the container?
(c) 3:5
(a) 26.34 litres
(d) 5:4
(b) 27.36 litres
(c) 28 litres
(d) 36.45 litres
Q3.A milk vendor has 2 cans of
milk. The first contains 25% water
and the rest milk. The second
Q6.In a mixture of milk and water of
contains 50% water. How much
Volume 30 Litre the ratio of water
milk should he mix from each of the
and milk is 3:7. How much quantity
containers so as to get 12 litres of
of water will be added to the mixture
milk such that the ratio of water to
to make the ratio of milk and water
milk is 3:5?
1:2
(a) 4 litres, 8 litres
(a) 23 Litre
(b) 6 litres, 6 litres
(b) 21 Litre
(c) 5 litres, 7 litres
(c) 12 Litre
(d) 7 litres, 5 litres
(d) 33 Litre
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Q7.The cost of Type 1 rice is Rs. 15 Q10.400 gm of salt solution has

per kg and Type 2 rice is Rs. 20 per 40% salt in it. How much salt
kg, If both Type 1 and Type 2 are should be added to make it 50% in
mixed in the ratio of 2 :3, then the the solution?
price per kg of the mixed variety of
(a) 60
rice is?
(b) 70
(a) Rs. 18 (c) 65
(b) Rs. 18.50 (d) 80
(c) Rs. 19
(d) Rs. 19.50
Q11. Chocolates at Rs. 12.00 per
dozen is mixed with chocolate at Rs.
Q8.A merchant has 1000 kg of 10.00 per dozen in the ratio 3: 5.
sugar, part of which he sells at 8% Find the price per dozen of the
profit and the rest at 18% profit. If mixture?
he gains 14% on the whole then the
(a) Rs. 11.00
quantity sold at 18% profit is:
(b) Rs. 9.90
(a) 400 kg (c) Rs. 11.50
(b) 560 kg (d) Rs. 10.75
(c) 600 kg
(d) 640 kg
Q12.Pencils at Rs. 4.20 per dozen is
mixed with pencils at Rs. 5.40 per
Q9.In an Examination out of 900 dozen in the ratio 3:5. Find the price
students 85% of the boys and 70% per dozen of the mixture?
of girls passed. How many girls
(a) Rs. 4.95
appeared in the examination, if total
(b) Rs. 4.50
pass percentage Was 75%?
(c) Rs. 5.00
(a) 400 (d) Rs. 5.05
(b) 500
(c) 600
(d) 700 Q13.A mixture of 48 litre of milk
and water contains 10% of water.
How much water must be added to
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make 20% water in the new When 10 Litre of the mixture is

mixture? taken out and 10 Litre of Liquid Q is
poured in the jar, the ratio becomes
(a) 2
2 : 3. How many litre of liquid P was
(b) 6
contained in the jar?
(c) 4
(d) 5 (a) 10 litre
(b) 15 litre
(c) 20 litre
Q14. A vessel of 160 litre is filled (d) 16 litre
with Milk and Water. 70% of Milk
and 30% of Water is taken out of the
vessel. After this task, it is found Q17.A bottle contains 27 litres of
that vessel is now filled by 55% pure milk.
1
of the milk is replaced
3
quantity of Milk and Water: What is
by the same amount of water. Again
the original quantity of milk and 1
of the mixture is replaced by that
water in the vessel respectively? 3
amount of water. The ratio of the
(a) 60, 100 milk and water in the new mixture
(b) 100, 60 is:
(c) 70, 90
(d) 90, 70 (a) 1:2
(b) 1:1
(c) 2:1
Q15.A mixture of 80 litre of milk (d) 4:5
and water contains 10% water. How
much water must be added to make
20% water in the new mixture? Q18.Aditya and Manish continued
in a joint business for 36 months.
(a) 5litre Aditya contribute Rs. 300 for certain
(b) 8 litre time and Manish invested Rs. 500
(c) 10 litre for remaining time. If out of total
(d) 15 litre profit of Rs. 1020, Aditya gets Rs.
495, then for how long Aditya kept
his money?

(a) 16 months
Q16.A tub contains a mixture of two (b) 14 months
liquid P and Q in the ratio of 4:1. (c) 8 months
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(d) 22 months (c) 75 litres

(d) 80 litres

Q19.A jar contained a mixture of

two liquids A and B in the ratio3:2. Q22.How many kg. of salt at 42 P
When 5 litres of the mixture was per kg. must a man mix with 25 kg
taken out and 5 litres of liquid B of salt at 24 P per kg, so that he
was poured in the jar, this ratio may, on selling the mixture at 40 P
became 2:3. The quantity of liquid A per kg, gain 25% on the outlay?
contained in the jar initially was:
(a) 20
(a) 4 litres (b) 30
(b) 8 litres (c) 40
(c) 9 litres (d) 50
(d) 32 litres

Q23. 300 gm of sugar solution has

Q20.A man has 40 kg of tea, a part 40% sugar in it. Howmuch. sugar
of which he sells at 5% loss and the should be added to make it 50% in
rest at the cost price. In this the solution?
business he incurs a loss 3%. Find
(a) 40 gm
the quantity which he sells at the
(b) 50 gm
cost price?
(c) 60 gm
(a) 12 kg (d) 80 gm
(b) 14 kg
(c) 16 kg
(d) 18 kg Q24.A dishonest milkman professes
to sell his milk at cost price but he
mixes it with water and thereby
Q21.In a mixture of 75 litres, the gains 40 % The percentage of water
ratio of milk to water is 2:1. The in the mixture is:
amount of water to be further added
(a) 25%
to the mixture so as to make the
(b) 20%
ratio of the milk to water 1:2 will be:
(c) 45%
(a) 45 litres (d) 28.56%
(b) 60 litres
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Q25.200 litres of mixture contains (a) 32

15% water and the rest is milk. The (b) 34
amount of milk that must be added (c) 36
so that the resulting mixture (d) 38
contains 87.5% milk is:

(a) 30 litre
Q29. Milk and water are mixed in
(b) 35 litre
vessel A in the ratio of 5:2 and in
(c) 40 litre
vessel B in the ratio of 8 : 5. In what
(d) 45 litre
ratio should quantities be taken
from the two vessels so as to form a
mixture in which milk and water will
Q26. In a zoo, there are rabbits and
be in the ratio of 9 :4?
pigeons. If the heads are counted,
there are 200 and if legs are (a) 7:2
counted, there are 580. How many (b) 5:2
pigeons are three? (c) 2:7
(d) 2:5
(a) 105
(b) 110
(c) 115
Q30. In a bag, there are three types
(d) 120
of coins1 rupee, 50- paise and 25-
Q27.The ratio of milk and water in paise in the ratio 3: 8: 20. There
66 litre of adulterated milk is 5 total value is Rs. 372. The total
:1.Water is added to it to make the number of coins is:
ratio 5:3. The quantity of water
(a) 1200
added is:
(b) 961
(a) 20 litres (c) 744
(b) 22 litres (d) 612
(c) 24 litres
(d) 28 litres
Q31.In an alloy there is 12% of
copper. To get 69 kg of copper. How
Q28.A sum of Rs. 41 was divided much alloy will be required?
among 50 children. Each boy gets
(a) 424 kg
90 paise and each girl 65 paise. The
(b) 575 kg
number of boys is?
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(c) 828 kg Q35. In 50 gm alloy of gold and

(d) 1736 kg silver. The gold is 80% by weight.
How much gold should be mixed to
this alloy so that the weight of gold
Q32.40 litres of a mixture of milk would become 95%?
and water contains 10% of water,
(a) 200 gm
the water to be added, to make the
(b) 150 gm
water content 20% in the new
(c) 50 gm
mixture is:
(d) 10 gm
(a) 6 litres
(b) 6.5 litres
(c) 5.5 litres Q36.A person has a milk of Rs. 50
(d) 5 litres per litre. In what ratio should water
be mixed with milk so that on
selling the mixture at Rs. 40 litres
Q33.How much pure alcohol has to he may get profit of 25%.
be added to 400 ml of a solution
(a) 14:9
containing 15% of alcohol to change
(b) 16:9
the concentration of alcohol in the
(c) 9:14
mixture to 32%?
(d) 9:16
(a) 60 ml
(b) 100 ml
(c) 128 ml Q37.7kg of tea costing Rs. 280 per
(d) 68 ml kg is mixed with 9 kg of tea costing
Rs. 240 per kg. The average price
per kg of the mixed tea is:
Q34.In what ratio must a grocer mix
(a) Rs. 255,80
tea at Rs. 60a kg, and Rs. 65 a kg,
(b) Rs. 257.50
so that by selling the mixture at Rs.
(c) Rs. 267. 20
68.20 a kg, he may gain 10%.
(d) Rs. 267.50
(a) 3:2
(b) 3:4
(c) 3:5 Q38.In what ratio must a mixture of
(d) 4:5 30% alcohol strength be mixed with
that of 50% alcohol strength so as to
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get a mixture of 45% alcohol Q41.In a mixture of 30 litres, the

strength: ratio of milk to water 2:1. The
amount of water to be further added
(a) 1:2
to the mixture so as to make the
(b) 1:3
ratio of the milk to water1:2 will be
(c) 2:1
(d) 3:1 (a) 45 litres
(b) 60 litres
Q39.In a 40 litres mixture of milk
(c) 30 litres
and water the ratio of milk to water
(d) 40 litres
is 7:1. In order to make the ratio of
milk and water 3 : 1, the quantity of
water (in litres) that should be
Q42.A and B are two alloys of gold
added to the mixture will be:
and copper prepared by mixing
(a) 6
2 metals in the ratio 5 : 3 and 5: 11
3
1 respectively. Equal quantities of
(b) 6
2 these alloys are melted to form a
(c) 99 third alloy C. The ratio of gold and
3
(d) 6 copper in the alloy C is:
4

(a) 25:13
(b) 33:15
Q40. A jar contained a mixture of (c) 15:17
two liquids A and B in the ratio 7:2. (d) 17:15
When 18 litres of mixture was taken
out and 18 litres of liquid B was
poured into the jar. This ratio
Q43.An alloy contains zinc, copper
became 2:3. The quantity of liquid A
and tin in the ratio 2: 3:1 and an
contained in the jar initially was:
other contains copper, in and lead
(a)
450
litres in the ratio 5:4:3. If equal weights of
17
490
both alloys are melted together to
(b) litres form a third alloy, then the weight of
19
490
(c) litres lead per kg in the new alloy will be
17
450
(d) litres (a)
1
kg
19 2
1
(b) kg
8
3
(c) kg
14
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7
(d) kg (a) 1:2
9
(b) 2:3
(c) 3:2
(d) 2:5
Q44. The ratio in which tea costing
Rs. 192 per kg is to be mixed with
tea costing Rs. 150 per kg so that
Q47. The ratio of the volumes of
the mixed tea, when sold for Rs.
water and glycerine in 240cc of
194.40 per kg. gives a profit of 20%
mixture is 1:3. The quantity of water
is
(in cc) that should be added to the
(a) 2:5 mixture so the volumes of water and
(b) 23:5 glycerine becomes 2:3 is:
(c) 5:3
(a) 55
(d) 5:2
(b) 60
(c) 62.5
(d) 64
Q45.In one glass, milk and water
are mixed in the ratio 3: 5 and in
another glass they are mixed in the
Q48.Two vessels A and B contains
ratio 6:1. In what ratio should the
acid and water in the ratio 4 :3 and
content of the two glasses be mixed
5:3 respectively. Then the ratio in
together so that the nex mixture
which these mixture to be mixed to
contains milk and water in the ratio
obtain a new mixture in vessel C
1:1?
containing acid and water in the
(a) 20:7 ratio 3:2 is
(b) 8:3
(a) 5:8
(c) 27:4
(b) 7:8
(d) 25:9
(c) 7:5
(d) 4:7
Q46.In what ratio Darjeeling Tea
costing Rs. 320 per kg be mixed
Q49.Acid and water are mixed in a
with Assam Tea costing Rs. 250 per
vessel A in the ratio of 5:2 and in
kg so that there is a gain of 20% by
the vessel B in the ratio 8:5. In what
selling the mixture at Rs. 324 per
proportion should quantities be
kg?
taken out from the two vessels so as
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to form a mixture in which the acid respectively. If equal quantities of

and water will be in the ratio of 9 :4? these two alloys are melted to form a
new alloy C, then the ratio of gold
(a) 7:2
and copper in C is:
(b) 2:7
(c) 7:4 (a) 6:5
(d) 2:3 (b) 9:4
(c) 12:7
(d) 7:5
Q50. The ratio of spirit and water in
two mixtures of 20 liters and 36
litres is 3:7 and7:5 respectively. Q53.A can contains a mixture of two
Both the mixtures are mixed liquids A and B in the ratio7:5.
together. Now the ratio of the spirit When 9 litres of mixture are drained
and water in the new mixture is off and the can is filled with B, the
ratio of A and Becomes 7:9. How
(a) 25: 29
many litres of liquid A was
(b) 9:10
contained by the can initially
(c) 27: 29
(d) 27:31 (a) 10
(b) 20
(c) 21
Q51.In two types of stainless steel, (d) 35
the ratio of chromium and steel are
2: 11 and 5: 21 respectively. In what
proportion should the two types be Q54.A shopkeeper bought 15 kg of
mixed so that the ratio of chromium rice at the rate of Rs. 29 per kg and
to steel in the mixed type becomes 25 kg of rice at the rate of Rs. 20 per
7:32? kg. He sold the mixture of both
types of rice at the rate of Re 27 per
(a) 2:3
kg. His profit in this transaction is:
(b) 3:4
(c) 1:2 (a) Rs. 125
(d) 1:3 (b) Rs. 150
(c) Rs. 140
(d) Rs. 145
Q52.A and B are two alloys of gold
and copper in the ratio 7:2 and7:11
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Q55.The proportion of acid and Q58. Three vessles whose capacities

water in three samples is 2:1,3: 2 are 3: 2 :1 are completely filled with
and 5:3. A mixture containing equal milk mixed with water. The ratio of
quantities of all three samples is milk and water in the mixture of
made. The ratio of water and acid in vessels are 5:2, 4:1 and 4:1
the mixture is respectively. Taking 1/3 of first, 1/2
of second and 1/7 of third mixtures,
(a) 120: 133
a new mixtures, kept in a new vessel
(b) 227: 133
is prepared. The percentage of water
(c) 227: 120
in the new mixture is:
(d) 133:227
(a) 32
(b) 28
Q56.Nikita bought 20 kg of wheat at (c) 30
the rate of Rs. 9.50 per kg and 30 kg (d) 24
of wheat at the rate of Rs. 8.50 per
kg and mixed them. She sold the
mixture at the rate of Rs. 8.90 per Q59.In 2 kg mixture of copper and
kg. Her total profit or loss in the aluminium, 30% is copper, How
transaction was: much aluminium powder should be
added to the mixture so that the
(a) Rs. 2 loss
quantity of copper becomes 20% ?
(b) Rs. 2 Profit
(c) Rs. 7 loss (a) 900 gms
(d) No profit no loss (b) 800 gms
(c) 1000 gms
(d) 1200 gms
Q57.A mixture of a certain quantity
of milk with 16 litres of water is
worth Rs. 1.5per litre. If pure milk Q60. The liquids X and Y are mixed
be worth Rs. 3 per litre. How much in the ratio of 3 : 2 and the mixture
milk is there in the mixture? is sold at Rs. 11 per litre at a profit
of 10% .If the liquid X costs Rs. 2
(a) 40 litres
more per litre than Y, the cost of X
(b) 16 litres
per litre is (in Rs.):
(c) 60 litres
(d) 80 litres (a) 9.50
(b) 10.80
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(c) 11.75 (d) 10 : 3

(d) 11

Q64. A jar contained a mixture for

Q61. An alloys contains 32% copper, two liquids A and B in the ratio 4 :
24% nickel and rest zinc. How much 1. When 10 L of the mixture was
zinc is present in 12 kg of the alloy? taken out and 10 L of liquid B was
poured into the jar, this ratio
(a) 672 gm
becomes 2 : 3. The quantity of liquid
(b) 6.72 kg
A contained in the gas initially was –
(c) 5.28 kg
(d) 528 gm (a) 4 L
(b) 12 L
(c) 8 L
Q62. In what ratio should coffee (d) 16 L
costing Rs. 2800/kg be mixed with
coffee costing Rs. 1750/kg so that
the cost of the mixture is Rs. Q65. Two vessels A and B contain
2150/kg. mixtures of milk and water in the
ratios 4 : 1 and 9 : 11 respectively.
(a) 8 : 13
They are mixed in the ratio of 3 : 2.
(b) 13 :8
Find the ratio of milk and water in
(c) 7 : 5
the resulting mixture.
(d) 5 : 7
(a) 12 : 25
(b) 15 : 37
Q63. In an alloy, Zinc and Copper (c) 17 : 19
are in the ratio 1 : 2. In the second (d) 33 : 17
alloy, the same elements are in the
ratio 2 : 3. If there two alloys
combined to form a new alloy in Q66. 6 litres of milk and water
which two elements are in the ratio mixture has 75% milk in it. How
5 : 8, the ratio of these two alloys in much milk should be added to the
the new alloys is – mixture to make it 90% pure?

(a) 3 : 10 (a) 10 litre

(b) 7 : 3 (b) 8 litre
(c) 3 : 7 (c) 9 litre
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(d) 12 litre (a) 55 kg

(b) 47 kg
(c) 37 kg
Q67. In a vessel milk is 60% less (d) 34 kg
than water. When X liter milk is
added to mixture then ratio of milk
and water becomes 3:5. Now Y liter Q70. After adding 15 litres of water
water is extracted from mixture then to a mixture having ratio of acid and
this ratio become 7:10. Now 30 liter water 7 : 5 the ratio of acid and
of milk is added again then new water becomes 7 : 8 in the new
ratio of milk and water becomes 4:5. mixture. The total amount of water
Find the value of
x+y
in the new mixture will be
3

(a) 120 (a) 35 litre

(b) 80 (b) 40 litre
(c) 60 (c) 60 litre
(d) 40 (d) 96 litre

Q68. In what ratio must a grocer Q71. Two vessels A and B contain
mix teas at Rs. 62.5/kg and Rs. milk and water mixed in the ratio 8 :
67.3/kg, so that by selling the 5 and 5 : 2 respectively. The ratio in
mixture at Rs. 76.9/kg he may gain which these two mixture be mixed to
3
20%? get a new mixture containing 69 %
13
milk is :
(a) 311: 223
(b) 117: 97 (a) 3 : 5
(c) 161: 79 (b) 5 : 2
(d) 63: 28 (c) 5 : 7
(d) 2 : 7

Q69. In a solution of salt and water

there is 12% salt by weight. When Q72. In a mixture of 25 litres, the
25 kg of water evaporates, the ratio of acid to water is 4:1. Another
concentration of salt becomes 22%. 3 litres of water is added to the
What is the initial amount of the mixture. The ratio of acid to water in
solution? the new mixture is
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(a) 3:5 (a) 20 %

(b) 2:5 (b) 25 %
(c) 5:2 (c) 15 %
(d) 5:3 (d) 10 %

Q73. In two types of brass, the ratio Q76. In what ratio mixture A and B
of copper to zinc are 7: 4 and 2: 9 should be mixed to get 90% milk in
respectively if the two types of brass the mixture if there are 40% water
be melted and mixed in the ratio 6: in mixture A and 95% milk in
5, a new type of brass is obtained. mixture ‘B’.
Find the ratio of copper to zinc in
(a) 6 : 5
this new type of brass.
(b) 6 : 1
(a) 52: 51 (c) 1 : 6
(b) 13: 35 (d) 5 : 6
(c) 52: 69
(d) 35: 13
Q77. The ratio, in which rice costing
Rs 192 per kg is to be mixed with
Q74. Two types of tea costing Rs. rice costing Rs 150 per kg so that
180/kg and Rs. 280/kg in what the mixed rice when sold for Rs
ratio should these be mixed so that 194.40 per kg, gives a profit of 20%,
obtained mixture sold at Rs. 320/kg is
to earn a profit of 20% is
(a) 2 : 5
(a) 3: 13 (b) 3 : 5
(b) 11: 4 (c) 5 : 3
(c) 2: 13 (d) 5 : 2
(d) 5: 7

Q78. A sum of Rs. 10000 is lent

Q75. A Rice Mill producer blends partly at 8% and remaining at 10%
two qualities of rice, one costingRs. per annum. If the yearly interest on
12.50 per kg and other costing Rs. the average is 9.2%, the two parts
14 per kg in the ratio of 4:5. Find are
this profit percent if he sells the
(a) Rs. 4000, Rs. 6000
mixture at the rate of Rs. 16 per kg :
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(b) Rs. 4500, Rs.5500 (d) 13/36

(c) Rs. 5000, Rs. 5000
(d) Rs. 5500, Rs. 4500
Q82. Two types of sugar of rate Rs.
5.60/kg and Rs. 6.40/kg is present
Q79. In what ratio should coffee with a shopkeeper. What quantity of
powder costing Rs 7500 per kg be second type of sugar should be
mixed with coffee powder costing Rs mixed with 20 kg of first type of
4500 per kg so that the cost of the sugar to get mixture of rate Rs.
mixture is Rs 6750 per kg? 6.20/kg

(a) 1:3 (a) 30 kg

(b) 2:3 (b) 40 kg
(c) 3:1 (c) 50 kg
(d) 3:2 (d) 60 kg

Q80. Mixture A contains 23% Acid Q83. Three containers of capacity

and Mixture B contains 47% Acid. 20L, 5L and 9L contain mixture of
In what Ratio should mixture A be milk and water with milk
mixed with mixture B to obtain a concentrations 90%. 80% and 70%
mixture with 37% Acid? respectively. The content of three
containers are emptied into a large
(a) 3:4
vessel. What is the ratio of milk to
(b) 8:11
water in the resultant mixture?
(c) 13:15
(d) 5:7 (a) 3:1
(b) 41:7
(c) 283:57
Q81. The ratio of milk and water in a (d) 610:13
mixture is 7:5. How much part of
the mixture should be replaced by
water so that ratio of milk and water Q84. The total number of student in
is 2:3? sections A and B of a class is 504.
The ratio of the number of students
(a) 11/35
in A and B is 7:5. The average
(b) 11/25
weight of the students in section B
(c) 13/24
is 20% more than that of the
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students in section A. If the average Q87. In what ratio must a grocer

weight of all the students in the mix two varieties of tea worth Rs. 60
class in 52 kg. then what is the a kg and Rs. 65 a kg so that by
average weight of the students in selling the mixture at Rs. 68.20 a kg
section B? he may gain 10%?

(a) 58.6 (a) 3 : 2

(b) 53.6 (b) 3 : 4
(c) 56.7 (c) 3 : 5
(d) 57.6 (d) 4 : 5

Q85. 30 litrs. Of 57 %
1 Q88. The cost of Type 1 rice is Rs.
7
15 per kg and Type 2 rice is Rs. 20
Concentration of acid solution is
2 per kg. If both Type 1 and Type 2
added to 45 litres of 22 %
9 are mixed in the ratio of 2 : 3, then
concertation of acid solution. What the price per kg of the mixed variety
is the concentration of acid in the of rice is:
new solution?
(a) Rs. 18
(a) (b) Rs. 18.50
(c) Rs. 19
(b)
(d) Rs. 19.50
(c)
(d) Q89. 8 litres are drawn from a cask
full of wine and is then filled with
water. This operation is performed
Q86. Find the ratio in which rice at three more times. The ratio of the
Rs. 7.20 a kg be mixed with rice at quantity of wine now left in cask to
Rs. 5.70 a kg to produce a mixture that of water is 16 : 65. How much
worth Rs. 6.30 a kg. wine did the cask hold originally?

(a) 1 : 3 (a) 18 litres

(b) 2 : 3 (b) 24 litres
(c) 3 : 4 (c) 32 litres
(d) 4 : 5 (d) 42 litres
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Q90. A merchant has 1000 kg of Q93. A container contains 40 litres

sugar, part of which he sells at 8% of milk. From this container 4 litres
profit and the rest at 18% profit. He of milk was taken out and replaced
gains 14% on the whole. The by water. This process was repeated
quantity sold at 18% profit is: further two times. How much milk is
now contained by the container?
(a) 400 kg
(b) 560 kg (a) 26.34 litres
(c) 600 kg (b) 27.36 litres
(d) 640 kg (c) 28 litres
(d) 29.16 litres

Q91. A dishonest milkman professes

to sell his milk at cost price but he Q94. A jar full of whisky contains
mixes it with water and thereby 40% alcohol. A part of this whisky is
gains 25%. The percentage of water replaced by another containing 19%
in the mixture is: alcohol and now the percentage of
alcohol was found to be 26%. The
(a) 4%
quantity of whisky replaced is:
(b) 6%
(c) 20% (a) 1/3
(d) 25% (b) 2/3
(c) 3/5
(d) 4/5
Q92. How many kilogram of sugar
costing Rs. 9 per kg must be mixed
with 27 kg of sugar costing Rs. 7 per Q95. In what ratio must water be
kg so that there may be a gain of mixed with milk to gain 16 % on
2
3
10% by selling the mixture at Rs.
selling the mixture at cost price?
9.24 per kg?
(a) 1 : 6
(a) 36 kg
(b) 6 : 1
(b) 42 kg
(c) 2 : 3
(c) 54 kg
(d) 4 : 3
(d) 63 kg

Q96. In what ratio must a grocer

mix two varieties of pulses costing
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Rs. 15 and Rs. 20 per kg (a) 10

respectively so as to get a mixture (b) 20
worth Rs. 16.50 kg? (c) 21
(d) 25
(a) 3 : 7
(b) 5 : 7
(c) 7 : 3
Q99. Tea worth Rs. 126 per kg and
(d) 7 : 5
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,
Q97. A milk vendor has 2 cans of
the price of the third variety per kg
milk. The first contains 25% water
will be:
and the rest milk. The second
contains 50% water. How much (a) Rs. 169.50
milk should he mix from each of the (b) Rs. 170
containers so as to get 12 litres of (c) Rs. 175.50
milk such that the ratio of water to (d) Rs. 180
milk is 3 : 5?

(a) 4 litres, 8 litres

Q100. A vessel is filled with liquid, 3
(b) 6 litres, 6 litres
parts of which are water and 5 parts
(c) 5 litres, 7 litres
syrup. How much of the mixture
(d) 7 litres, 5 litres
must be drawn off and replaced with
water so that the mixture may be
half water and half syrup?
Q98. A can contains a mixture of
two liquids A and B is the ratio 7 : 5. (a) ½
When 9 litres of mixture are drawn (b) 1/5
off and the can is filled with B, the (c) ¼
ratio of A and B becomes 7 : 9. How (d) 1/8
many litres of liquid A was
contained by the can initially?
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MIXTURE & ALLIGATION

100 MCQ
ANSWER KEY
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Q1. ANS B

Solution:

Q2. ANS D

Solution:
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Q3. ANS B

Solution:

Q4. ANS D

Solution:
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Q5. ANS D

Solution:

Q6. ANS D

Solution:

Q7. ANS A

Solution:
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Q8. ANS C

Solution:

Q9. ANS C

Solution:
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Q10. ANS D

Solution:

Q11. ANS D

Solution:
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Q12. ANS A

Solution:

Q13. ANS B

Solution:

Q14. ANS B

Solution:
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Q15. ANS C

Solution:

Q16. ANS D
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Solution:

Q17. ANS D

Solution:

Q18. ANS D

Solution:
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Q19. ANS C

Solution:

Q20. ANS C

Solution:

Q21. ANS C

Solution:
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Q22. ANS A

Solution:

Q23. ANS C

Solution:

Q24. ANS D

Solution:
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Q25. ANS C

Solution:

Q26. ANS B

Solution:

Q27. ANS B

Solution:
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Q28. ANS B

Solution:

Q29. ANS A

Solution:

Q30. ANS B
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Solution:

Q31. ANS B

Solution:

Q32. ANS D

Solution:

Q33. ANS B
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Solution:

Q34. ANS A

Solution:

Q35. ANS B

Solution:
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Q36. ANS B

Solution:

Q37. ANS B

Solution:
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Q38. ANS B

Solution:

Q39. ANS A
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Solution:

Q40. ANS C

Solution:

Q41. ANS C
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Solution:

Q42. ANS C

Solution:
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=15:17

Q43. ANS B
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Solution:

Q44. ANS A

Solution:

Q45. ANS A
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Solution:

Q46. ANS D

Solution:
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Q47. ANS B

Solution:

Q48. ANS B
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Solution:

Q49. ANS A

Solution:
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Q50. ANS C

Solution:

Q51. ANS C
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Solution:

Q52. ANS D

Solution:
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Q53. ANS C

Solution:
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Q54. ANS D

Solution:
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Q55. ANS D

Solution:

Q56. ANS D

Solution:
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Q57. ANS B

Solution:

Q58. ANS D

Solution:
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Q59. ANS C

Solution:

Q60. ANS B

Solution:
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Q61. ANS C

Q62. ANS A

Q63. ANS A
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Q64. ANS D

Q65. ANS D

Q66. ANS C

Q67. ANS D
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Q68. ANS C

Q69. ANS A
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Q70. ANS B

Q71. ANS D

Q72. ANS C

Q73. ANS C
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Q74. ANS C

Q75. ANS A

Q76. ANS C
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Q77. ANS A

Q78. ANS A

Q79. ANS C
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Q80. ANS D

Q81. ANS A
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Q82. ANS D

Q83. ANS C

Q84. ANS D
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Q85. ANS A

Q86. ANS B

Q87. ANS A
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Q88. ANS A

Q89. ANS B

Let the quantity of the wine in the cask originally be x litres.

8 4
Then, quantity of wine left in cask after 4 operations = x 1 -
litres.
x

x(1 - (8/x))4 16
=
x 81

1-8 4= 2 4
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x 3

x-8 2
=
x 3

3x - 24 = 2x

x = 24.

Q90. ANS C

Q91. ANS C
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Q92. ANS D

Q93. ANS D

Amount of milk left after 3 operations = 40 1 - 4 3

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40
litres

9 9 9
= 40 x x x = 29.16 litres.
10 10 10

Q94. ANS B

Q95. ANS A

Q96. ANS C
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Q97. ANS B

Q98. ANS C

Suppose the can initially contains 7x and 5x of mixtures A and B respectively.

7 21
Quantity of A in mixture left = 7x - x 9 litres = 7x -
litres.
12 4

5 15
Quantity of B in mixture left = 5x - x 9 litres = 5x -
litres.
12 4
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21
7x -
4 7
=
15 9
5x -
+9
4

28x - 21 7
=
20x + 21 9

252x - 189 = 140x + 147

112x = 336

x = 3.

So, the can contained 21 litres of A.

Q99. ANS C

Q100. ANS B

Suppose the vessel initially contains 8 litres of liquid.

Let x litres of this liquid be replaced with water.

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3x
Quantity of water in new mixture = 3 - +x litres
8

5x
Quantity of syrup in new mixture = 5 - litres
8

3x 5x
3- +x = 5-
8 8

5x + 24 = 40 - 5x

10x = 16

8
x= .
5

8 1 1
So, part of the mixture replaced = x = .
5 8 5