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Alligation & Mixtures · Question 82 of 88

After two mornings, what is the ratio of pure mustard oil to the cheaper oil in the drum?

Question 82

MediumOriginal question

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

After two mornings, what is the ratio of pure mustard oil to the cheaper oil in the drum?

Options for question 82

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Pure oil is 40.5 litres, so the cheaper oil is 50−40.5=9.550 - 40.5 = 9.5 litres.

  2. 40.5:9.5=81:1940.5 : 9.5 = 81 : 19.

Worth noting

4:14 : 1 is 40 : 10, from taking pure oil out both times.

Concept
The ratio after replacement
Typical time
120 s
Your time
—
The rule this testsRepeated replacement
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Ten questions from Alligation & Mixtures, at your own pace.

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

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