











Tips And Tricks And Shortcuts For Alligation And Mixtures
Tips And Tricks For Allegation And Mixtures
Tips and Tricks for Alligation and Mixtures will be discussed on this page for solution of problems regarding the mixing of ingredients in a shortcut way. When, two or more ingredients are mixed together to get a desired quantity, this quantity can be expressed as ratio or percentage.
Tips and Tricks and Shortcuts Alligations and Mixtures:-
Type 1. Tips and Tricks for Alligation and Mixtures
In most of these questions , you are supposed to find the ratio , or any one of the values either M(mean price) , or C(C.P of cheaper) or D(C.P of dearer) where the other two values and the ratio is given.
To find that , we have the best trick for you.
When two commodities are mixed then,
\left ( \frac{ \text{ Quantity of Cheaper }}{\text{ Quantity of dearer }} \right ) = \left ( \frac{ \text{ C.P of Dearer (d) – Mean price (m)}}{ \text{ Mean price(m) – C.P. of cheaper(c) }} \right)This equation can also be developed using the pictorial diagram.


Question 1:
Two varieties of wheat are mixed in the ratio of 4:5. The price of the mixture is ₹15 per Kg. The price of the variety having lesser weight is ₹12 per Kg. Calculate the price of the other variety.
Solution:
First of all we will identify and substitute the values in the diagram
Now substituting this in the formula
\left ( \frac{ \text{ Quantity of Cheaper }}{\text{ Quantity of dearer }} \right ) = \left ( \frac{ \text{ C.P of Dearer (d) – Mean price (m)}}{ \text{ Mean price(m) – C.P. of cheaper(c) }} \right) \frac{4}{5} = \frac{(N – 15)}{(15 – 12)}
\frac{4}{5} = \frac{N – 15}{3}
So , 5N – 75 = 12
N = Rs. 17.4 per Kg
Type 2: Shortcuts, Tips and Tricks for Alligation and Mixtures
Calculate quantity of pure Liquid after ‘n’ successive operations:
If a Container contains ‘x’ units of pure liquid , and we replace the liquid with ‘y’ units of water :
Then after ‘n’ successive operations, the units of pure liquid left is
\left ( x \left( 1 – \frac{y}{x} \right)n \right)Below is an example to explain this concept.
Question:
A vessel contains 60L of milk, out of which 15L litres of milk is taken out and replaced by water. This process is repeated two times. Find the amount of milk left in the container.
Solution:
From the question we have ,
Total Milk (x) = 60L
Milk taken out in one round (y) = 15L
No. of rounds (N) = 2
So , Using the above formula ,
Amount of milk left in the container
=\left ( x \left( 1 – \frac{y}{x} \right)n \right)
=\left ( 60 \left( 1 – \frac{15}{60} \right)2 \right)
=\left ( 60 \left( \frac{3}{4} \right)2 \right)
Solving this we get the answer as 33.75L
Get over 200+ course One Subscription
Courses like AI/ML, Cloud Computing, Ethical Hacking, C, C++, Java, Python, DSA (All Languages), Competitive Coding (All Languages), TCS, Infosys, Wipro, Amazon, DBMS, SQL and others
- Averages – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Ratio and Proportions – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Simple & Compound Interest – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Simple Interest – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Compound Interest – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Percentages – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Profit & Loss – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
Others
- Averages – Questions |
Formulas |
How to Solve Quickly |
Tricks & Shortcuts - Ratio and Proportions – Questions |
Formulas |
How to Solve Quickly |
Tricks & Shortcuts - Simple & Compound Interest – Questions |
Formulas |
How to Solve Quickly |
Tricks & Shortcuts - Simple Interest – Questions |
Formulas |
How to Solve Quickly |
Tricks & Shortcuts - Compound Interest – Questions |
Formulas |
How to Solve Quickly |
Tricks & Shortcuts - Percentages – Questions |
Formulas |
How to Solve Quickly |
Tricks & Shortcuts - Profit & Loss – Questions |
Formulas |
How to Solve Quickly |
Tricks & Shortcuts
Others
prepInsta we have come doubt so how to solve it? And in some question the % of answer is almost same for 2-3 option , so that time how to analyse which answer is correct?
If you have any doubts kindly contact us on 8884209544