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Alligation & Mixtures · Question 38 of 88

How much water must the dairy add to make a 20% profit?

Question 38

MediumOriginal question

A dairy buys 60 litres of milk at ₹54 a litre, adds some water, which costs nothing, and sells the mixture at ₹54 a litre.

How much water must the dairy add to make a 20% profit?

Options for question 38

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. For 20% profit the cost per litre must be 541.2=45\frac{54}{1.2} = 45.

  2. 3,24045=72\frac{3{,}240}{45} = 72 litres in all, so 72−60=1272 - 60 = 12 litres of water.

Worth noting

10 litres gives a cost of 3,24070≈46.29\frac{3{,}240}{70} \approx 46.29 and a profit of about 16.7%.

Concept
Water for a given profit
Typical time
120 s
Your time
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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.