A juice vendor mixes water with pure orange juice. If he sells the mixture at the cost price of pure orange juice and makes a profit of 20%, what is the ratio of water to pure orange juice in the mixture, respectively?
1 : 5
Step 1: Let juice CP = \(p\) per L; mix \(w\) L water (free) with \(j\) L juice.
Step 2: Cost = \(jp\); Revenue = \((w+j)p\).
Step 3 – 20% profit: \(\dfrac{wp}{jp} \times 100 = 20\%\), so \(\dfrac{w}{j} = \dfrac{1}{5}\).
Hence, the correct answer is 1 : 5.
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