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Alligation & Mixtures · Question 80 of 88

Question 80

MediumOriginal question

A jug holds 40 litres of pure juice. 8 litres are poured out and replaced with water, twice. What percentage of the jug is now juice?

Options for question 80

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Each replacement keeps 3240=45\frac{32}{40} = \frac{4}{5} of the juice.

  2. After two: (45)2=1625=64%\left(\frac{4}{5}\right)^2 = \frac{16}{25} = 64\%.

Worth noting

60% subtracts 20% twice as if each draw took pure juice.

Concept
The strength 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.