TRICKS TIPS AND SHORTCUTS FOR SOLVING PROBLEMS IN MIXTURE AND ALLIGATION
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Aspirants,as you all know this is Exam Season and we had started for our Preparation.To Clear IBPS Exam we need lot of practice.Beginners find difficulty in knowing the pattern of the exam and type of questions asked in the exam.
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INTRODUCTION TO MIXTURE AND ALLIGATION:
Hi Aspirants today we are going to discuss on a topic Mixture and Alligation. This topic carries 1 mark in prelims and 2 mark in mains exam.This topic can be implemented in Topics such as Time and Distance ,Ratio and Proportions.
When two or more components are mixed together then it is known as Mixture
Mixture is of two types they are:
1.Simple Mixture:When two or more different ingredients are mixed together,a simple mixture is formed
2.Compound Mixture:When two or more simple mixtures are mixed together, a compound mixture is formed.
It 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.
Where M=Mean Value which is between X and Y, X=Cheaper Price, Y=Price higher than the Mean Value
MIXTURE CONTAINING TWO OR MORE INGREDIENTS:
1.A shopkeeper sells rice of 1kg for Rs.75 w two quality of rice whose worth for 1kg is Rs.70 and Rs.80.
Therefore for 1kg of rice the two quality of rice should be mixed in the ratio 1:1
BASED ON PROFIT OR LOSS:
1.A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%.The percentage of water in the mixture?
Let the Cost Price of Pure Milk be Rs.1,
Selling Price of (Milk+ Water) is also Rs.1. which is 25% more than the Costprice
Therefore CostPrice = (100/125)*1=(4/5)
The Percentage of water mixed in the mixture =*100=20%
2.The Ratio ,in which tea costing Rs.192 per kg is to be mixed with tea costing Rs.150 per kg so that the mixed tea when sold for Rs.194.40 per Kg,gives a profit of 20%.
|Quality||Cost Price||Selling Price||Selling Price after Profit/Loss|
|1st Quality||150||194.40 after 20% profit|
Finding Selling Price after Giving Profit over Cost Price:
Let the Cost Price be X
Selling Price=X*(120/100) = 194.40
X=(19440/120) ⇒ X=162
30:12 ⇒ 5:2
The 1st and 2nd quality of rice should be mixed in the ratio:5:2
If there is a loss in the transaction indicate it by the ‘-‘ negative sign before the number.