Mixtures and Alligations Questions for CAT with Answers PDF

Let X units of liquid be taken from container X.
So, liquid A taken = (5/6)X
Liquid B taken = (1/6)X
Let Y units of liquid be taken from container Y.
So, liquid A taken = (Y/4)
Liquid B taken = (3/4)Y
So, as the ratio is 1 : 1, we get
(5/6)X + (Y/4) = (X/6) + (3/4)Y
Or X/Y = 3/4
Hence, the required ratio is 3 : 4.
Thus, option d is correct.

Water portion of the watermelon weighs 90% of 30 = 27 kg.
Solid portion of the watermelon weighs 30 - 27 = 3 kg.
When water is 80%, solid portion = 20% 
As 20% = 3 kg; 
Total weight = 3 x 5 = 15 kg

Let the C.P. of 1 litre milk be Re. 1. 
S.P. of 1 litre of mixture = Re. 1
Gain = 
C.P. of 1 litre of mixture = (100 x 3/350 x 1) = Rs. 6/7 
So, 6/7 litres of milk is present in 1 litre of mixture. 
Hence, ratio of water to milk = 1/7 : 6/7 = 1 : 6 
Alternate Solution:
To make a profit of 16.67% we need to add 16.67% water.
i.e. we need to add water in milk in the ratio 1 : 6.

Applying the rule of alligation:

⇒ Required ratio = 5 : 2

Capacity = 48 litres
Amount of milk = 5/6 x 48 = 40 litres
Amount of water =1/6 x 48 = 8 litres
Let the amount withdrawn be x.
Thus, 
⇒  x = 12 litres

By the rule of Alligation,

⇒ 5x - 75 = 50
⇒ 5x = 125
⇒ x = 25
Profit made on the computer = 25%

Let the amount of solution having 77% solution of alcohol be x litres.
Now, apply the alligation formula.

Fraction of wine in flask A =
Fraction of wine in flask B =
Fraction of wine in final mixture = 
By alligation method,

Therefore, ratio of amount of mixture taken from A to that taken from B

Total amount allotted for compensation to the victims = Rs. 39,00,000
Total victims = 65
Average amount of compensation =
By alligation method,

Therefore,
Ratio of injured to dead passengers = 2 : 3
Number of injured passengers = 
This is our required solution.

Apply the rule of alligation,
Quantity of tin

The two alloys should be mixed in the ratio 5 : 1.
Now, amount of copper in the mixture if mixture is 6 units = = 5.43 units
% of copper in the mixture =