Mixture: Mixing of two or more than two type of quantities gives us a mixture.  Quantities of these elements can be expressed as percentage or ratio.

Percentage:- (20% of sugar in water)

Fraction:- A solution of sugar and water such that  (sugar : water = 1:4)

1.Alligation:

           It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of desired price.

2.Mean Price:

           The cost of a unit quantity of the mixture is called the mean price.

 3.Suppose a container contains x of liquid from which y units are taken out and replaced by water.

          After n operations, the quantity of pure liquid =

 In what ratio two qualities of rice costing Rs. 42.5 per kg and Rs. 59.75 per kg be mixed in order to get a new mixture costing Rs. 51.5?

a) 11 : 13    b) 11 : 12      c) 12 : 11     d) 13 : 11

Solution:

According to alligation rule,

        ⸫ Required ratio = 8.25 : 9 = 11 : 12.

Answer: b

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