Mixtures and Allegations Practice Test 1

Question : 14 of 40

Marks: +1, -0

A container of 90 litres with two liquids A and B, 60% of liquid A and 30% of liquid B are taken out of the vessel. This leaves the container 40% empty. Find the initial quantity of both liquids.

50 litres
54 litres
57 litres
60 litres

Validate

Solution:

Here withdrawal of liquid A and B result into making the container empty. Hence percentage of two liquids withdrawn are two components of the percentage by which the container becomes empty.
Applying the rule of alligation, we get

A : B = 10 : 20 or 1 : 2
Quantity of liquid

= 1/{1 +2} × 90

= 30 litres
Quantity of liquid B = 90 – 30 = 60 litres.

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