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Alligation & Mixtures · Question 76 of 88

Question 76

MediumOriginal question

A jug holds 20 litres of pure juice. 5 litres are poured out and replaced with water, and then 5 litres of the mixture are poured out and replaced with water. What percentage of the jug is now juice?

Options for question 76

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Each time 520=14\frac{5}{20} = \frac{1}{4} of the contents go, so 34\frac{3}{4} of the juice stays.

  2. After two times, (34)2=916=56.25%\left(\frac{3}{4}\right)^{2} = \frac{9}{16} = 56.25\% is juice.

Worth noting

50% takes away a quarter of the full jug twice, 10 litres of juice in all.

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.