tabita57i

2020-11-11

Mixture or Alligation method of Quantitative AptitudeAlligation means linking. Today I'm going to discuss alligation method with you all. This is one of an important chapters of Quantitative exams. Basically, alligation is a rule that enables us to find the ratio of the quantities of the ingredients at given prices and are mixed to produce a mixture of given price.

Ian Adams

Skilled2021-04-21Added 163 answers

Alligation method is basically for two purpose:

- to find the
**mean value**of the mixtures when prices and proportions of both the ingredients are given - to find the
**proportion**of an ingredients of mixture when prices of both ingredients and mixture are given

Let two ingredients are mixed, out of that one is **dearer** and other is **cheaper** comparatively. Let Cost price (C.P.) of dearer one = d and Cost price of cheaper one = c

Study the following figure, if you remember this, you can easily solve the questions related to this chapter. Always remember that you will always consider cost price, not the selling price

Therefore,

**Example1:** In what proportion rice @Rs3/kg be mixed with rice @ Rs 3.50/kg, so that mixture worth Rs. 3.15/kg?

**Solution:** C.P. of cheaper rice

Applying the Alligation method,

Therefore, Proportion in which both will be added is 7:3

**Example2:** A certain quantity of milk is mixed with 20 litres of water and the worth becomes Rs 15/litre. If price of pure milk is Rs 20/litre, then how much milk is there in the mixture?

**Solution:** Mixture

** **C.P. of pure milk

C.P. of water

Applying the Alligation method,

Ratio of water to milk

**Example3:** In what ratio must water be added to milk to gain 20% by selling the mixture at cost price?

**Solution:** In this ques, we will assume the cost price of milk so that we can simplify the problem.

Let assumed price **(C.P.) of milk **

Then, according to ques, S.P. of milk

By alligation method, Ratio of water and milk

So, in this way we can calculate these types of problems. One more thing, if in case

Hope you understand the topic. Will soon update more examples of related topic.

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