Scoring high in the Quantitative Aptitude section of IBPS RRB Clerk 2025 is all about speed and accuracy. One topic that often comes in the prelims and mains is Mixture and Alligation. With simple tricks and a little practice, this topic can become your score booster. Usually, 1-2 questions are asked in the prelims from this topic. Read this blog till the end to know the concept, tips, and types, and get a FREE PDF to practice.
What is Mixture and Alligation?
Mixture and Alligation is a mathematical technique used to determine the ratio or proportion in which two or more ingredients at different prices/concentrations should be mixed to obtain a desired price/concentration. It is based on the Weighted Average concept.
Mixture: Combining two or more ingredients.
Alligation: A method used to find the ratio in which ingredients of different values are mixed to get a desired mean value.
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Importance and Weightage of Mixture and Alligation in RRB Clerk 2025
- Mixture and Alligation questions are asked in Prelims (1–2 questions).
- In Mains, they can come in Data Interpretation, especially in caselet or table DI formats.
- Good command on this topic helps in speedy problem-solving, especially in average, profit-loss, and compound interest type questions that use the same logic.
Types of Mixture and Alligation Questions
- Simple Mixture – Mixing two ingredients of different prices or concentrations.
- Complex Mixture – Mixing two mixtures with different ratios.
- Profit/Loss Alligation – Find the overall profit/loss when multiple items are sold.
- Speed & Distance – Average speed problems using alligation.
- Interest (SI/CI) – Find effective rates using alligation.
- Ratio & Percentage – Mixing different groups or percentages.
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Most Expected Mixture and Allegation Questions for RRB Clerk 2025
Here we are providing the most expected Mixture and Allegation Questions, Candidates can click the PDF link and attempt all the questions with detailed solutions
Question 1: An alloy of tin and copper contains 80 grams of tin. If the ratio of tin to copper in the alloy is 5:9, then find the quantity of copper in the alloy.
A) 140 grams
B) 144 grams
C) 124 grams
D) 136 grams
E) None of these
Question 2: Three mixtures: A, B and C containing 20% 40% and X% of water, respectively. If all these mixtures are mixed in the ratio of 1:1:2 to form a resultant mixture, and the resultant mixture contains 20% of water in it, then find the value of X.
A) 20
B) 25
C) 10
D) 15
E) None of these
Question 3: In a mixture, the ratio of wine and soda is 7:6, respectively. When 26 litres of mixture is replaced with same amount of soda, the ratio of wine to soda becomes 5:8. Find the quantity of soda in the mixture before replacement.
A) 30 litres
B) 24 litres
C) 35 litres
D) 42 litres
E) None of these
Question 4: A 260 ml mixture contains water and acid in ratio 6:7, respectively. How much acid should be added to the mixture so that the ratio of water and acid changes to 3:5, respectively?
A) 50 ml
B) 60 ml
C) 40 ml
D) 120 ml
E) None of these
Question 5: Fresh grapes contain 80% water, while dry grapes contain 10% water. If the weight of dry grapes is 120 kg then, find the weight when it is fresh.
A) 560 kg
B) 540 kg
C) 520 kg
D) 500 kg
E) None of these
Mixture and Allegation Questions PDF
Mixture and Allegation examples with questions and answers PDF is given below. Download now.
Tips and Tricks to Solve Mixture and Alligation Questions
Here are some tips for the students who are preparing for the RRB Clerk. Some easy ways to solve the mixture and allegation questions :
1. Use the Alligation Rule (Diagram Method)
This method makes solving easier:

2. Remember the Basic Formula
Mean Value = (Quantity₁ × Value₁ + Quantity₂ × Value₂) ÷ (Quantity₁ + Quantity₂)
3. When to Use Alligation?
Apply it when two items or groups with different values are mixed, and the final average or percentage is given.
4. Apply Alligation in Related Topics
Alligation can help solve tricky questions from:
- Averages
- Profit and Loss
- Speed-Time
- Simple and Compound Interest
5. Practice with Reverse Logic
In some exams, they may give you the final mixture price or percentage and ask you to find individual quantities or costs. Practice this with a backward approach.
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FAQs
Usually 1–2 questions.
Profit-Loss, Speed-Time, Averages, and Simple Interest topics.
Yes, in the Mains DI caselets or pie charts.
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