Question : A litre of water weighs a kilogram, and a litre of another liquid weighs 1.340 kilograms. A mixture of the two weighs 1.270 kilograms per litre. The ratio of their volumes in a litre of the mixture is:
Option 1: 27 : 34
Option 2: 7 : 17
Option 3: 17 : 24
Option 4: 7 : 27
Correct Answer: 7 : 27
Solution :
Given: A litre of water weighs a kilogram = 1000 gm
A litre of a 2
nd
liquid weighs 1.340 kilograms = 1340 gm
A litre of a mixture of the two weighs 1.270 kilograms = 1270 gm
So, the ratio of their volumes in a litre of the mixture is:
By using alligation
⇒ L1 : L2 = (greater density – mean density) : (mean density – lesser density)
= (1340 – 1270) : (1270 – 1000)
= 70 : 270
= 7 : 27
Hence, the correct answer is 7 : 27.
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