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A bottle contains 20 litres of liquid A. 4 litres of liquid A is taken out of it and replaced by same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture? 

A bottle contains 20 litres of liquid A. 4 litres of liquid A is taken out of it and replaced by same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture?  Correct Answer 16 : 9

Given:

A bottle contains 20 litres of liquid A.

Calculation:

After removing 4 L of liquid A and adding 4 L of liquid B.

Mixture become this way.

16 L of A and 4 L of B

⇒ A = 16/20 and B = 4/20

Now again 4 L of mixture is taken out and 4 L of liquid B is added.

⇒ A : B = :

⇒ A : B =  16× : 4 ×

⇒ A : B = 16 × 4/5 : 4 × 9/5

⇒ A : B = 16 : 9

∴ The ratio of quantity of liquid A to that of liquid B in the final mixture is 16 : 9.

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