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A 50-litre mixture of oil and water has 16% water. How many litres of oil must be added to make the water content 10%?

1. 10 litres
2. 15 litres
3. 20 litres
4. 30 litres

Correct answer: 30 litres

Solution

Initially, water = 16% of 50 = 8 litres. If x litres of oil are added, water remains 8 litres and total mixture becomes \(50+x\). We need \(8/(50+x)=10\%\), so \(8=0.1(50+x)\), giving \(x=30\).

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