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Alligation & Mixtures · Question 73 of 88

How much pure mustard oil is in the drum after two mornings?

Question 73

EasyOriginal question

A 50-litre drum is full of pure mustard oil. Every morning 5 litres are drawn off and replaced with a cheaper oil.

How much pure mustard oil is in the drum after two mornings?

Options for question 73

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Each morning keeps 4550=0.9\frac{45}{50} = 0.9 of the pure oil.

  2. 50×0.92=40.550 \times 0.9^{2} = 40.5 litres.

Worth noting

40 litres takes out 5 litres of pure oil both times; the second draw is partly the cheaper oil.

Concept
What is left after replacement
Typical time
90 s
Your time
—
The rule this testsRepeated replacement
Practise this chapter →

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

Practise this chapter →

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