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Reasoning and Quantitative Aptitude

Alligation or Mixture

ALLIGATION OR MIXTURE

SITAMS

1

Reasoning and Quantitative Aptitude

Alligation or Mixture

ALLIGATION OR MIXTURE
IMPORTANT FACTS AND FORMULAE
1
...

2
...

3
...
P
...
P
...
P
...
P
...

4
...
After n operations the quantity of pure liquid=

SITAMS

[ x(1-y/x)^n]units
...
1
...
9
...
10
...
10 per kg ?
Sol
...
P
...
P
...



...
Required ratio = 80 : 70 = 8 : 7
...
2
...
20
So as to have a mixture worth Rs
...
C
...
of 1 litre of milk = Rs
...
40/3
c
...
p of 1 litre of milk
0
Rs
...
32 )
3

(40/3-32/3)=8/3
(32/3-0)=32/3
Ratio of water and milk =8 : 32 = 8 : 32 = 1 : 4
3 3
Quantity of water to be added to 60 litres of milk = [1/4 X 60 ]litres =15 litre

SITAMS

3

Reasoning and Quantitative Aptitude

Alligation or Mixture

Ex
...
In what ratio must water be mixed with milk to gain 20% by selling the mixture at
cost price?
Sol
...
P
...
1 per litre
...
P
...
1
...

 C
...
of 1 litre of mixture = Rs
...
5/6
By the rule of alligation, we have:
C
...
of 1 litre of water
0

C
...
of1litre ofmilk
Re
...
5/6)

(1- (5/6))= 1/6

((5/6)-0)=5/6

Ratio of water and milk = 1/6 : 5/6
Ex
...
How many kgs
...
8 per kg must be mixed with 86 kg of rice
costing Rs
...
40 per kg so that 20% gain may be obtained by Belling the mixture at Rs
...
20
per kg ?
Sol
...
P
...
7
...

 C
...
of 1 kg mixture = Rs
...
20]=Rs
...

By the rule of alligation, we have:
C_P
...
P
...


(540 p)

Mean price
( 600 p)
60
SITAMS

200
4

Reasoning and Quantitative Aptitude

Alligation or Mixture

Wheat of 1st kind : Wheat of 2nd kind = 60 : 200 = 3 : 10
...

Then, 3 : 10 = x : 36 or lOx = 3 * 36 or x = 10
...

Ex
...
The milk and water in two vessels A and B are in the ratio 4 : 3 and 2: 3 respectively
...
Let the C
...
of milk be Re
...
P
...
4/7; C
...
of 1 litre mixture in B = Re
...
1/2
By the rule of alligation, we have:
C
...
of 1 litre mix
...
P
...
in B
(4/7)

(2/5)

(1/2)

(1/10)

(1/14)

:
...
6
...
3
...
3
...
3
...
By the rule of alligation, we have:
C
...
of 1 kg rice of Cheaper rice (in paise)
310

C
...
of 1 kg rice of dearer rice (in paise)
360

...

Mean price
(in paise)
325

35

SITAMS

15

5

Reasoning and Quantitative Aptitude

Alligation or Mixture

By the allegation rule:
(Quantity of cheaper rice) = 35/15=7/3
(Quantity of dearer rice)
:
...

Ex
...
How many kilograms of sugar costing Rs
...
10 per kg
...
of
sugar costing Rs
...
85 per kg
...
4
...
?
Sol: S
...
of mixture = Rs
...
80,Gain=20%
...
P of kg
...
[(100/120)*4
...
4
...
P
...
P
...

(Quantity of dearer sugar)
If cheaper sugar is 42 kg
...

If cheaper sugar is 126 kg
...
=69 kg
...
8
...
1
...
1
...
1
...
, so that the mixture may be worth Rs
...
41 per kg?
Sol: step 1
...
1
...

C
...
of 1kg
...
P
...
wheat of 3rd kind
120paise
174 paise
Mean price
141 price
33
SITAMS

21
6

Reasoning and Quantitative Aptitude

Alligation or Mixture

By allegation rule :
(Quantity of 1st kind of wheat) = 33 = 11
(Quantity of 3rd kind of wheat) 21 7
i
...
, they must be mixed in the ratio 11:7
...
Mix wheats of first and second kind to get a mixture worth Rs
...
41 per kg
...
P
...
Wheat of 1st kind
120paise

C
...
of I kg
...
e
...

Thus, (Quantity of 2nd kind of wheat)
(Quantity of 1st kind of wheat)
= (Quantity of 2nd kind of wheat) x (Quantity of 1st kind of wheat)
(Quantity of 1st kind of wheat)
(Quantity of 3rd kind of wheat)
= [(7/1)*(11/7)]=11/1
...


Ex
...
A butler stole wine from a butt of sherry which contained 40% of spirit and he
replaced what he had stolen by wine containing only 16% spirit
...
How much of the butt did he steal?
Sol:
Wine containing
40% spirit

Wine containing
16% spirit

Wine containing
24% spirit
SITAMS

7

Reasoning and Quantitative Aptitude

Alligation or Mixture

8

16

 By allegation rule:
(Wine with 40% spirit) = 8 = 1
(Wine with 16% spirit) 16 2
i
...
, they must be mixed in the ratio (1:2)
...

Ex
...
The average weekly salary per head of the entire staff of a factory consisting of
supervisors and the labourers is Rs
...
The average salary per head of the supervisors is
Rs
...
56
...

Sol:

Average salary of labourers
Rs
...
60
340

Average salary of supervisors
Rs
...

 if the number of supervisors is 12, number of labourers = 85*12 =1020
...
11
...
8400 lent a part of it at 8% simple interest and the remaining
at 6 2/3% simple interest
...
882
...

Sol: Total interest on Rs
...
for 1 ½ years is Rs
...

 Rate of interest = 100 x882x2 = 7%
8400x3
st
Rate % of 1 sum
8%

Rate % of 2nd sum
6 2/3 %

Average Rate
7%
1
3
By alligation rule,
Money given at 8% S
...
I

Alligation or Mixture

3

Money lent at 8% = Rs
...
2100
...
[8400 *(3/4)] = Rs
...


Ex
...
A man travelled a distance of 80 km
...

per hour and partly on bicycle at 16 km
...
Find the distance travelled on foot
...
Average distance travelled in one hour =80/7 km
...
Covered in 1 hr
...


32
7

Dist
...
on bicycle
16 km
...

80 km
...

Distance covered on foot in 4 hours=(4x8)km=32 km
...
13
...
41 was divided among 50boys and girls
...
Find the number of boys and girls
...
Average money received by each =Rs
...

Sum received by each boy
90 paise

Sum received by each girl
65 paise
Average
82 paise

17

8

By alligation rule,
Ratio of boys and girls=17:8
...
14
...
Is worth Rs
...
78
...
if the price of one metal be Rs
...
70 per gm
...

SITAMS

9

Reasoning and Quantitative Aptitude

Alligation or Mixture

Sol
...
Of first metal and 18gm
...
(87+78
...
60
...
Of 1st metal+18 gm
...
165
...
of 1st metal+1 gm
...
165
...
9
...

18
st
nd
(cost of 1 gm
...
of 2 metal) = Rs
...
20
...
of 2nd metal = Rs
...
9
...
70)= Rs
...
50
...
87 per gm
...
29
18
6
C
...
P of 1 gm
...
6
...
2
...
29
6

14
6

56
30

By alligation rule,
Quantity of 1st metal
Quantity of 2nd metal

= 14 : 56 = 5:4
6 30

In 9 gm
...
, 2nd metal = 4gm
...
of mix
...
= 8 gm
...
15
...
of milk
...
of milk was taken
out and replaced by water
...
How much milk is
now contained by the container?
Remarks
...
Amount of milk left = 80[(1-(8/80)3)] kg
...
34 kg
...


10

Reasoning and Quantitative Aptitude

Alligation or Mixture

EXERCISE PROBLEMS:

1
...
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
5

B
...
1
7

Answer: Option C
Explanation:
Suppose the vessel initially contains 8 liters of liquid
...

3x
Quantity of water in new mixture = 3 - + x liters
8
5x
Quantity of syrup in new mixture = 5 - liters
8
3x
5x
3- +x = 58
8
5x + 24 = 40 - 5x
10x = 16
8
x=
5
So, part of the mixture replaced =

8 x1 1
=
5 8 5

2
...
126 per kg and Rs
...

If the mixture is worth Rs
...
Rs
...
50
C
...
175
...
Rs
...
Rs
...

So, their average price = Rs
...
130
...
130
...
x per kg in the ratio 2 : 2, i
...
, 1 : 1
...

By the rule of alligation, we have:
Cost of 1 kg of 1st kind

Cost of 1 kg tea of 2nd kind

Rs
...
50

Rs
...
153

(x-153)
22
...
50
x - 153 = 22
...
50
3
...
When 9 litres of mixture are
drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9
...
10
C
...
20
D
...

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

21
7x =
4
7
SITAMS

12

Reasoning and Quantitative Aptitude

Alligation or Mixture

9
15
5x - 4
+9
28x - 21 7
=
20x + 21 9
252x - 189 = 140x + 147
112x = 336
x = 3
...

4
...
The first contains 25% water and the rest milk
...
How much milk should he mix from each of the containers so as to get 12 liters
of milk such that the ratio of water to milk is 3: 5?
A
...
5 liters, 7 liters

B
...
7 liters, 5 liters

Answer: Option B
Explanation:
Let the cost of 1 liter milk be Re
...
in 1st can = liter, C
...
of 1 liter mix
...

4
4
1
1
nd
nd
Milk in 1 liter mix
...
P
...
in 2 can Re
...
= liter, Mean price = Re
...
P
...
P
...

88
So, quantity of mixture taken from each can =
SITAMS

1
x 12 = 6 litres
...
In what ratio must a grocer mix two varieties of pulses costing Rs
...
20 per kg
respectively so as to get a mixture worth Rs
...
50 kg?
A
...
7 : 3

B
...
7 : 5

Answer: Option C
Explanation:
By the rule of alligation:
Cost of 1 kg pulses of 1st kind
Rs
...
20
Mean Price
Rs
...
50

3
...
50

Required rate = 3
...
50 = 7 : 3
...
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and
thereby gains 25%
...
4%
C
...
6 ¼ %
D
...
P
...
1
Then, S
...
of 1 liter of mixture = Re
...

C
...
of 1 liter mixture = Re
...
P
...
1

C
...
of 1 liter of water
0
Mean Price
4
Re
...

55
Hence, percentage of water in the mixture =[(1/5)*100]%=20%


...
How many kilogram of sugar costing Rs
...
7 per kg so that there may be a gain of 10% by selling the mixture at Rs
...
24 per kg?
A
...
54 kg

B
...
63 kg

Answer: Option D
Explanation:
S
...
of 1 kg of mixture = Rs
...
24, Gain 10%
...
P
...


100
x 9
...
8
...
P
...
9

Cost of 1 kg sugar of 2nd kind
Rs
...
8
...
40

0
...

Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind
...

3

8
...
From this container 4 litres of milk was taken out and
replaced by water
...
How much milk is now
contained by the container?
A
...
34 litres
C
...
27
...
29
...
16 liters
...
A jar full of whisky contains 40% alcohol
...
The quantity of
whisky replaced is:
1
A
...

5

2
3
3
D
...


Answer: Option B
Explanation:
By the rule of alligation , we have:
Strength of 2nd jar
19%

Strength of first jar
40%
Mean
Strength
26%
7

14

So, ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2
Required quantity replaced =

2
3

10
...
1 : 6
C
...
6 : 1
D
...
P
...
1
...
P
...
1, Gain =

50
%
...
P
...
P
...
P
...
1

Mean Price
6
Re
...

77

11
...
7
...
5
...
6
...

A
...
2 : 3

C
...
4 : 5

Answer: Option B
Explanation:
By the rule of alligation:
Cost of 1 kg of 1st kind
720 p

Cost of 1 kg of 2nd kind
570 p
Mean Price
630 p

60

90

Required ratio = 60: 90 = 2: 3
...
In what ratio must a grocer mix two varieties of tea worth Rs
...
65 a kg so that
by selling the mixture at Rs
...
20 a kg he may gain 10%?
A
...
3 : 5

B
...
4 : 5

Answer: Option A
Explanation:
S
...
of 1 kg of the mixture = Rs
...
20, Gain = 10%
...
20 = Rs
...

110

C
...
of 1 kg of the mixture = Rs
...
60

Cost of 1 kg tea of 2nd kind
...
65
Mean Price
Rs
...


13
...
15 per kg and Type 2 rice is Rs
...
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
...
18
B
...
18
...
Rs
...
Rs
...
50
Answer: Option A
Explanation:
Let the price of the mixed variety be Rs
...

By rule of alligation, we have:
Cost of 1 kg of Type 1 rice
Rs
...
20
Mean Price
Rs
...


14
...
This operation is
performed three more times
...
How much wine did the cask hold originally?
A
...
24 liters
18

Reasoning and Quantitative Aptitude
C
...
42 liters

Answer: Option B
Explanation:
Let the quantity of the wine in the cask originally be x litres
...

x(1 - (8/x))4 16
=
x
81
8
2
1 - 4=
4
x
3
x-8 2
=
x
3
3x - 24 = 2x

x = 24
...
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18%
profit
...
The quantity sold at 18% profit is:
A
...
600 kg

B
...
640 kg

Answer: Option C
Explanation:
By the rule of alligation, we have:
Profit on 1st part
8%

Profit on 2nd part
18%
Mean Profit
14%

4

6

Ration of 1st and 2nd parts = 4 : 6 = 2 : 3
Quantity of 2nd kind =

3
x 1000
= 600 kg
...
How many liters of water should be added to a 30 litre mixture of milk and water containing
milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?
A
...
5 liters

B
...
None of these

Answer: Option C
SITAMS

19

Reasoning and Quantitative Aptitude

Alligation or Mixture

Explanation:
30 liters of the mixture has milk and water in the ratio 7: 3
...
e
...
When you add more water, the amount of milk in the mixture remains
constant at 21 liters
...
After water is added, the new mixture contains 60% milk and 40% water
...

Hence, 100% volume = 21/0
...

We started with 30 liters and ended up with 35 liters
...


17
...
10 liters of the
mixture is removed and replaced with pure milk and the operation is repeated once more
...
17 : 3
C
...
9 : 1
D
...
Therefore, there will be 12 litres
of milk in the mixture and 8 litres of water in the mixture
...
When 10 litres of the mixture is removed, 6 litres of milk is removed and 4 litres of water
is removed
...
It is
then replaced with pure milk of 10 litres
...

Step 2
...
The container will have 8 litres of milk and 2 litres of water in it
...
Therefore, the container will have 18 litres of milk and 2 litres of water in it at the
end of the second step
...

18
...
42/kg should a shopkeeper mix with 25 kgs of
ordinary rice costing Rs
...
40/kg?
A
...
12
...
3 : 16kgs
D
...
As the trader makes 25% profit by selling
the mixture at Rs
...
32/kg
...
e
...


19
...
4 liters
C
...
2 liters
D
...
5 liters

Answer: Option B
Explanation:
The mixture contains 40% milk and 60% water in it
...
8 litres of milk and 7
...

Now we are replacing the mixture with pure milk so that the amount of milk and water in the
mixture is 50% and 50%
...

Water gets reduced by 1
...

To remove 1
...
2 / 0
...

20
...
When he
counted the legs of the animals he found it to be 260
...
40
C
...
30
D
...

Each pigeon has 2 legs and each horse has 4 legs
...

21
...
If the same process is repeated a second, then a third time, what will be the number of
litres of milk left in the cask?
A
...
512 liters
C
...
38 liters

B
...
15
...
The
problem is simple if its solution is simpler
...

There is a short cut method to find the Quantity of milk left after nth operation
...

Hence from the above rule it can be say that
Quantity of milk left after the 3rd operation = [(30 – 6)/30]3 * 30 = 15
...

22
...
3
...
2
...
3
...
5:7
C
...
7:9
D
...
P of a unit quantity of 1st kind

C
...
of a unit quantity of 2nd kind

3
...
90
Mean Price (3
...
18

0
...
18 : 0
...


23
...
The ratio in
which these two mixtures be mixed to get a new mixture containing milk and a water in the ratio
9:4?
A
...
3:2

B
...
7:5

Answer: Option B
Explanation:
Step (i) : Let C
...
of milk be Re
...
P of 1 liter mixture in A = Rs
...
P of 1 litre mixture in B = Rs
...
P of 1 litre mixture = Rs/ 9/13 (Mean price)
Step (ii) : By the rule of allegation,
i
...
P of 1 liter of mixture in A =8/13

ii
...
P of 1 liter of mixture in B = 5/7

iii
...


d – m = 9/13 – 5-7 = 2/91

v
...
In what ratio water be mixed with milk costing Rs
...
8 per litre?
A
...
3:2

B
...
7:5

Answer: Option A
Explanation:
By the rule of allegation,
i
...
P of 1 liter of water = 0

ii
...
P of 1 liter of milk = 12

iii
...


d – m = 12-8 = 4

v
...
729ml of 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 the ratio 7:3?
A
...
81ml

B
...
96ml

Answer : Option C
Explanation:
Ratio of milk and water in 729 ml = 7:2
Step (i) Milk in 729 ml of mixture = (7/9 x 729 ) ml = 567 ml
 water in 729 ml of mixture = 729 – 567 = 162 ml

Step (ii) Let x be the quantity of water added to new mixture, with the ratio 7:3
 Quantity of water in the new mixture = (162 + x ) ml

Then 7/3 =

567
162  x

 7 (162 + x) = 3 x 567
 1134 + 7x = 1701

SITAMS

24

Reasoning and Quantitative Aptitude

Alligation or Mixture

 7x = 1701 – 1134

 X = 567/7 = 81 ml
 Quantity of water added to new mixture = 81 ml
...
A can contains 40kg of milk, from this container 4kg of milk was taken out and replaced by
water
...
How much milk is now contained by the
container?
A
...
16kg
C
...
49kg

B
...
25
...
16 kg

27
...
Find the
ratio in which these mixture be mixed to obtain a new mixture containing spirit and water in the
ratio 8:5?
A
...
7:9

B
...
4:3

Answer: Option C 7:9
Explanation:
Step (i) : Spirit in 1 litre mixture of A = 5/7 litre
Spirit in 1 litre mixture of B = 7/13 litre
Spirit in 1 litre mixture of final mixture = 8/13 litre
Mean quantity = 8/13 litre
SITAMS

25

Reasoning and Quantitative Aptitude

Alligation or Mixture

Step (ii) By the rule of allegation,
i
...


Quantity of spirit in B (d)= 7/13

iii
...


d – m = 5/7 – 8/13 = 9/19

v
...
Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively
...
3:4
C
...
2:7
D
...


quantity of spirit in A (c) = 8/13

ii
...


Mean price (m) = 9/13 lr

iv
...


m – c = 9/13 – 8/13 = 1/13

 Required ratio = 2/91 : 1/13 : = 2 : 7

29
...
15 p/kg and type II is Rs
...
Both are mixed in the ratio 2:3,
price P/Kg of the mixed variety is :
SITAMS

26

Reasoning and Quantitative Aptitude

Alligation or Mixture

A
...
20
C
...
15

B
...
30
D
...
18

Answer: Option D
Explanation:
Step (i) : Let the price of mixed variety be x
...
x
Cost of 1 kg of Type I

Cost of 1 kg of Type II

Rs
...
20
Mean wt (m)

(20 - x)

Rs
...
18 per kg

30
...
62 per Kg be mixed with tea at Rs
...
64
...
3 : 1
C
...
3 : 2
D
...
A bar is creating a new signature drink
...
They are using two non-alcoholic ingredients in the drink: orange juice and
cranberry juice
...
The non-alcoholic ingredients
contain no alcohol
...
5
C
...
10
D
...
15) = 6(40%) + x(0%)
(6+x) 0
...
4) + 0
Solving for x, we get x = 10
...
150 liters of a 20% alcohol solution is mixed with 200 liters of another solution
...
21%
C
...
2%

B
...
5%
D
...

We have the following equation: 350(0
...
2)
Solving for x , we get x = 0
...
e
...
5%

SITAMS

28

Reasoning and Quantitative Aptitude

Alligation or Mixture

32
...
This operation is
performed three more times
...
How much wine did the cask hold originally?
A
...
24 litres
C
...
42 litres
Answer: Option B
Explanation:
Let the quantity of the wine in the cask originally be x litres
...

 [x(1-(8/x)4] = 16
x
81
(1-8/x)4 = (2/3)2
x-8 = 2
x
3

3x – 24 = 2x

x = 24
...
One quality of wheat at Rs
...
30 per kg is mixed with another quality at certain rate in the
ratio 8 : 7
...
10 per kg,what is the rate per kg of the second
quality of wheat ?
A
...
10
...
Rs
...
60
C
...
10
...
Rs
...
X per kg
...
P of 1 kg
...
P of 1 kg wheat of 2nd kind
100x p
Mean price
1000 P

(100x – 1000)p

SITAMS

70 p

29

Reasoning and Quantitative Aptitude

Alligation or Mixture

 100x – 1000 = 8
70
7
700x – 7000=560
700x = 7560
x = Rs
...
80
...
In what ratio must rice at Rs
...
10
...
10per kg
...
3:4
B
...
8:7
D
...
In what ratio must wheat at Rs
...
20 pe rkg be mixed with wheat at Rs
...
90 per kg so that
the mixture be worth Rs
...
08 per kg
A
...
5:4
C
...
4:5
3
...
9 per kg must be mixed with 27kg of sugar
costing Rs
...
9
...
50 kg
B
...
72kg
D
...
In what ratio must water be mixed with milk to gain 16 2/3% on selling the mixture at
cost price ?
A
...
5:7
C
...
6:1
5
...
The ratio
in which these two mixtures be mixed to get a new mixture containing milk and a water
in the ratio 9:4?
A
...
5:9
C
...
3:2
6
...
12 per liter to obtain a mixture worth
of Rs
...
2:4
B
...
5:7
D
...
A sum of Rs
...
In the annual interest is Rs
...
1300
B
...
2400
D
...
A merchant has 100kg of sugar, part of which he sells at 8% profit and the rest at 18%
profit
...
The quantity sold at 18% profit is?
A
...
500kg
C
...
600kg
9
...
5:6
C
...
7:5
D
...
A jar full of whisky contains 40% alcohol
...
1/4
B
...
2/3
D
...
729ml of mixture contains milk and water in the ratio 7:2 how much more wate is to be
added to get a new mixture containing milk and water in the ratio 7:3?
A
...
49ml
C
...
96ml

12
...
312 was divided amng 100boys and girls in such a way that the boy gets
Rs
...
60 and each girl Rs
...
40 the number of girls is ?
A
...
40
C
...
50
13
...
540ml
B
...
720ml
D
...
A sum of rs
...
90 is made up of 180 coins which are either 10 paise coins or 25 p coins
...
72
B
...
45
D
...
A dishonest milk man professes to sell his milk at cost price but he mixed it with water
and thereby gains 25%
...
35%
B
...
20%
D
...
A mixture of 20kg of spirt and water contains 10 water How much water must be added
to this mixture to raise the percentage of water to 25%?
A
...
4kg
C
...
6kg
SITAMS

32

Reasoning and Quantitative Aptitude

Alligation or Mixture

17
...
This process was repeated further two times
...
43
...
43
...
29
...
12
...
A can contains a mixture of two liquids A and B in 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 liquids A was contained by the can initially?
A
...
22

B
...
23

19
...
It contains 20% water
...
6 gallons
C
...
4 gallons
D
...
A mixture of spirit and water measure 80 gallons
...
How much
water should be added to it so that water may be 25%?
A
...
7 1/3 gallons

B
...
5 1/3 gallons

21
...
The
whole annual interest amounted to $92
...
$900
C
...
$800
D
...
A man invested $2500 into two parts such that if one part be put out at 5% S
...
and other
at 6%, the yearly income may be $140
...
$1250
C
...
$1500
D
...
There are two vessels A and B in which the ratio of milk and water are as 5:2 and 8:7
respectively
...
What is the ratio of milk and water in it?
A
...
89:86

B
...
101:71

24
...
What is the ratio
of water and spirit in the new mixture?
SITAMS

33

Reasoning and Quantitative Aptitude

A
...
25:33

Alligation or Mixture

B
...
37:68

25
...
Compare the strength of
the wine
...
7:4
C
...
7:8
D
...
One milk can contains a mixture of milk and water in the ratio 7:5 and the other contains
the mixture of milk and water in which 2/5th is water
...

A
...
10:7

B
...
5:3

27
...
10, some at the rate of 3 for 35 cents and the rest at 7
for 85 cents
...
45
C
...
21
D
...
A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 17%
profit
...
Find how much is sold at 7% profit?
A
...
30 lbs

SITAMS

B
...
50lbs

34



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