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A single refined-oil vessel contains 20% impurities. After double-refining it contains 4% impurities. How much of double refined oil an be obtained from 30 litres of single refined oil?
24.0 litres
24.8 litres
25.2 litres
25.5 litres
- Start with 30 liters of single refined oil, which has 20% impurities.
- This means 6 liters are impurities (20% of 30 liters) and 24 liters are pure oil (80% is pure oil).
- Double refining reduces impurities from 20% to 4%, keeping the same amount of pure oil.
- With 24 liters of pure oil, double refining allows for a total volume where 4% is impurities.
- Calculate the final volume (V): V×0.96=24 liters.
- Solving gives V=25 liters.
- Option 1: 24.0 liters - too low.
- Option 2: 24.8 liters - too low.
- Option 3: 25.2 liters - slightly too high.
- Option 4: 25.5 liters - too high.
- Correct Answer: 25.0 liters.
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