By : Neha Uppal
Updated : Nov 9, 2020, 13:02
Average, Mixture and Alligation questions are often asked in competitive exams like RRB NTPC, RRB/RRC Group D exam, SSC CGL, SSC CHSL, SSC MTS, SSC Junior Engineer, RRB JE, etc. It is important to understand the Average, Mixture, and Alligation concepts in a comprehensive manner and also learn the best way to prepare and practice the topic for a better score in the exam.
The ‘Alligation’ is an important topic for quantitative aptitude questions in competitive exams. It helps us in finding the ratio in which two mixtures must be mixed to produce a final mixture at a given price. Alligation is used in a lot of areas like profit and loss, S.I (Simple Interest), time and distance, etc. The price of the mixtures that are to be mixed are given to us, and we have to find the solution.
Topic | Detail |
Rule of Alligation | If two ingredients namely ‘a’ and ‘b’ are mixed with ‘a’ as a cheaper ingredient and ‘b’ is the dearer/costly ingredient, then the average mixture alligation formula is: Quantity of a/Quantity of b = (Cost of b – Mean Price) / (Mean Price – Cost of a) |
Mean Price | The cost of the unit quantity of the final mixture is called the mean price. |
Method of Repeated Dilutions | Suppose ‘x’ is the unit of liquid present in any container and we take out ‘y’ units of liquid from that container and replace it with water or some other liquid. In that case, the quantity of pure liquid in that container after n times we repeated the process is: [x (1 – (y/n)] n |
Percentage-wise Mixtures | If a question states some mixture with a particular percentage of an ingredient ‘a’ in it and we are asked how much more ‘a’ is to added in the mixture to make the percentage of ‘a’ in mixture as given, then, Total Mixture (required % of a - present % of a) / (100 – required % of a) |
Book | Author |
R.S Agarwal – Quantitative Aptitude for Competitive Examinations | R.S Agarwal |
Arun Sharma – Quantitative Aptitude | Arun Sharma |
Arihant Publications – Fast Track Objective Arithmetic | Rajesh Verma |
R.D Sharma – Mathematics | R.D Sharma |
BYJU'S Exam Prep provides you with a personalised learning platform. It is widely preferred for SSC and railway exams. BYJU'S Exam Prep also provides you with practice papers that will hone your quantitative analysis skills. The online test series and average mixtures and alligations quiz conducted by BYJU'S Exam Prep will help you in testing yourself and finding the shortcomings. The online classes of BYJU'S Exam Prep are also well oriented. It is India’s largest preparation site for SSC and Railway exams. The BYJU'S Exam Prep community is free to join where students help each other, and you will find fruitful discussions that will help you in preparing for the exams.
Studying for a competitive exam is a stressful and challenging task, but with the right tips, guidance and supplies, you can achieve your desired result. We hope you found this article is helpful.
1- How many questions should one practice?
One must practice as many questions as he/she can because more practice will help you in solving questions faster. You can download the average mixtures and alligations pdf for practising. You can get alligation and mixture notes from BYJU'S Exam Prep.
2- Are there any short tricks for alligation and mixture questions?
Yes, you can learn more about alligation and mixture tricks used to solve questions quickly by BYJU'S Exam Prep online classes.
3- Is there any specific online course for SSC CGL?
Yes, there are specific courses on BYJU'S Exam Prep for SSC CGL, SSC CHSL, SSC CPO, etc. You will also get alligation and mixture question answers with solution SSC via these courses.
4- How to study Average, Mixture, Alligation for competitive exams?
You must understand the concepts of it and then proceed to solve last years’ papers as a form of practice.
5- Which book is the most preferred to study Average, Mixture, Alligation?
R.S Agarwal’s book: R.S Agarwal – Quantitative Aptitude for Competitive Examinations, is considered to be the most straightforward yet advanced book to study for competitive exams.