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Combined Graduate Level[Tier-1]

Subject : Numerical Aptitude

Chapter : Alligation or Mixture

Numerical Aptitude

Alligation or Mixture

It is the rule that is used to determine the mean value of

the mixture when the prices of the individual items being

mixed together and the proportion in which they are being

mixed are given. Here, the value of the mixture is always

higher than the lowest value and lower than the higher

value of the items being mixed.

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Numerical Aptitude

Alligation or Mixture

According to the Rule of Alligation

Quantity of cheaper = Price of dearer - Mean price

Quantity of dearer Mean price - Price of cheaper

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Numerical Aptitude

Alligation or Mixture

It can be also expressed as,

therefore, (Cheaper quantity : Dearer quantity) = (y – m) :

(m – x)

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Mathematics

Alligation or Mixture

Where, mean price (m) is the cost price of a unit quantity

of the mixture.

Also, if a container contains x units of liquid from which y

units are taken out and replaced by water. After n

operations, the quantity of pure liquid is [x(1 - y/x)n] unit.

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Numerical Aptitude

Alligation or Mixture

Example 1: How many kilograms of rice costing Rs 18 per

kg must be mixed with 30 kg of rice costing Rs 14 per kg,

so that the resultant mixture cost Rs 15 per kg.

Solution. Applying the rule of alligation, we have

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Numerical Aptitude

Alligation or Mixture

Therefore, Quantity of cheaper rice = 3

Quantity of dearer rice 1

If cheaper rice is 3 kg, dearer rice is 1 kg.

If cheaper rice is 30 kg, dearer rice = (30 x 1) kg = 10 kg

3

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