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Mixtures & Alligation · Question 45 of 60

Question 45

MediumOriginal question

A drum holds 80 litres of pure coconut oil. 8 litres are removed and replaced with a cheaper oil, and this is done three times in all. How much coconut oil is left in the drum?

Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Each operation keeps 80−880=0.9\frac{80 - 8}{80} = 0.9 of the coconut oil.

  2. After three operations: 80×0.93=80×0.729=58.3280 \times 0.9^3 = 80 \times 0.729 = 58.32 litres.

Worth noting

56 litres subtracts 8 litres three times, ignoring that later removals carry some cheaper oil. 64.8 litres stops after two operations.

Concept
Repeated replacement formula for three operations
Typical time
70 s
Your time
—
The rule this testsMixtures and replacement
Practise this chapter →

Ten questions from Mixtures & Alligation, at your own pace.

Practise this chapter →

Ten questions from Mixtures & Alligation, at your own pace.