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Alligation & Mixtures · Question 48 of 88

In what ratio must the dairy mix water and milk to make a 35% profit?

Question 48

HardOriginal 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.

In what ratio must the dairy mix water and milk to make a 35% profit?

Options for question 48

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The cost per litre must be 541.35=40\frac{54}{1.35} = 40.

  2. Water : milk =(54−40):(40−0)=14:40=7:20= (54 - 40) : (40 - 0) = 14 : 40 = 7 : 20.

Worth noting

7:137 : 13 puts water against the whole mixture instead of against the milk.

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