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Alligation & Mixtures · Question 87 of 88

Question 87

HardOriginal question

A container holds 50 litres of milk. 10 litres are taken out and replaced with water, and then this is done once more. What is the ratio of milk to water now?

Options for question 87

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Milk left: 50(45)2=3250\left(\frac{4}{5}\right)^2 = 32 litres, so water is 18 litres.

  2. 32:18=16:932 : 18 = 16 : 9.

Worth noting

3:23 : 2 takes 20 litres of pure milk out, leaving 30 : 20.

Concept
The ratio after replacement
Typical time
120 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.