Question : In a mixture of 55 litres fruit juice and water are in the ratio of 4 : 1. How much water (in litres) must be added to make the mixture ratio 2 : 1?
Option 1: 9
Option 2: 22
Option 3: 11
Option 4: 12
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Correct Answer: 11
Solution :
Given: Quantity of mixture = 55 litres
The ratio of fruit juice and water = 4 : 1
Let $x$ litres water be added to make the mixture ratio 2 : 1.
Initial quantity of fruit juice = $\frac{55}{5}×4=44$ litres
Initial quantity of water = $\frac{55}{5}×1=11$ litres
So, according to the question,
⇒ $\frac{44}{11+x}=\frac{2}{1}$
⇒ $22+2x=44$
⇒ $2x=22$
⇒ $x=11$ litre
Hence, the correct answer is 11.
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