Allegation and mixture problems play a major role in quantitative aptitude test. It is bit difficult to score marks in competitive exams without knowing the shortcuts related to time and distance. We might have already learned this topic in our lower classes.Even though we have been already taught this topic in our lower classes, we need to learn some more short cuts which are being used to solve the problems in the above topic.
The only thing we have to do is, we need to apply the appropriate short cut and solve the problems in a limited time. This limited time will be one minute or less than one minute in most of the competitive exams.
Basic Concepts:
1.Allegation: This is a rule which we can use to find the ratio in
which we have to mix two or more types of ingredients to produce the
mixture in a desired price.
2.Mean price: The cost price of the mixture per given unit is called mean price.
3.Rule to find the ratio for producing mixtures.
The ratio of the two types of ingredients to be mixed = (d-m) : (m-c)
4. Say, a bucket has "x" units of liquid.From which "y" units of
liquid taken out and replaced by water. After repeating this process
"n" times
Students who are preparing to improve their aptitude skills and those who are preparing for this type of competitive test must prepare this topic in order to have better score. Because, today it is bit difficult to score marks in competitive exams without knowing time and distance shortcuts. Whether a person is going to write placement exam to get placed or a student is going to write a competitive exam in order to get admission in university, they must be time and distance shortcuts. This is the reason for why people must study this topic.
Students will learn, how and when they have to apply shortcuts to solve the problems which are related to time and distance. Apart from the regular shortcuts, students can learn some additional tricks in this topic allegation and mixture tricks. Already we are much clear with the four basic operations which we often use in math. They are addition, subtraction, multiplication and division. Even though we are much clear with these four basic operations, we have to be knowing some more stuff to solve the problems which are being asked from the topic time and distance in competitive exams. The stuff which I have mentioned above is nothing but the tricks and shortcuts which need to solve the problems in a very short time.
Short cut is nothing but the easiest way to solve allegation and mixture problems . In competitive exams, we will have very limited time to solve each problem. Then only we will be able to attend all the questions. If we do problems in competitive exams in perfect manner with all the steps, it will definitely take much time and we may not able to attend the other questions. So we need some other way in which the problems can be solved in a very short time. The way we need to solve the problem quickly is called as shortcut.
Here, we are going to have some allegation and mixture problems . You can check your answer online and see step by step solution.
1. What is the ratio in which the two types of wheat mixed where the price
of the first type is $9.30 per kg and the second type is $10.80 per kg
so the mixture is having worth $10 per kg?